Q.1 Show
Find the simple interest on Rs.68,000 at 16 2/3% per annum for 9 months 8000 8500 7500 9000 Ans . 8500
Q.2 Find Simple Interest on Rs.3000 at 6 1/4% per annum for the period from 4th Feb,2005 to 18th April,2005. 37.50 45.00 35.50 38.00 Ans . 37.50
S.I. = Rs.(3,000*(25/4)*(1/5)*(1/100))= Rs.37.50. Q.3 A sum at simple interests at 13 ½ % per annum amounts to Rs.2502.50 after 4 years find the sum. 2625 1615 1630 1625 Ans . 1625
Q.4 A sum of Rs. 800 amounts to Rs. 920 in 8 years at simple interest interest rate is increased by 8%, it would amount to bow mucb ? 950 992 192 882 Ans . 992
Q.5 Adam borrowed some money at the rate of 6% p.a. for the first two years , at the rate of 9% p.a. for the next three years and at the rate of 14% p.a. for the period beyond five years.1£ he pays a total interest of Rs. 11, 400 at the end of nine years how much money did he borrow ? 12,050 11,500 12,000 11,000 Ans . 12,000
Q.6 A certain sum of money amounts to Rs. 1008 in 2 years and to Rs.1164 in 3 ½ years. Find the sum and rate of interests. 208 ,13% 208 ,15% 308 ,13% 308 ,15% Ans . 208 ,13%
Q.7 At what rate percent per annum will a sum of money double in 16 years. 7\(\frac{1}{5}\)% p.a 6\(\frac{1}{3}\)% p.a 7\(\frac{1}{4}\)% p.a 6\(\frac{1}{4}\)% p.a Ans . 6\(\frac{1}{4}\)% p.a
Q.8 The simple interest on a sum of money is 4/9 of the principal .Find the rate percent and time, if both are numerically equal. 6\(\frac{1}{4}\)% p.a., 6 yrs 5 months 6\(\frac{2}{3}\)% p.a., 6 yrs 8 months 6\(\frac{2}{3}\)% p.a., 2 yrs 8 months 6\(\frac{1}{4}\)% p.a., 6 yrs 9 months Ans . 6\(\frac{2}{3}\)% p.a., 6 yrs 8 months
Q.9 The simple interest on a certain sum of money for 2 l/2 years at 12% per annum is Rs. 40 less tban the simple interest on the same sum for 3 ½ years at 10% per annum.Find the sum. 800 1000 900 750 Ans . 800
Q.10 A sum was put at simple interest at a certain rate for 3 years. Had it been put at 2% higher rate, it would have fetched Rs. 360 more.Find the sum. 6500 5000 6000 5900 Ans . 6000
Q.11 What annual instalment will discharge a debt of Rs. 1092 due in 3 years at 12% simple interest? 325 225 300 425 Ans . 325
Q.12 A sum of Rs. 1550 is lent out into two parts, one at 8% and another one at 6%. If the total annual income is Rs. 106, find the money lent at each rate. 700,900 650,650 650,700 650,900 Ans . 650 ,900
Q.13 Find compound interest on Rs. 7500 at 4% per annum for 2 years, compounded annually. 612 620 650 510 Ans . 612
Q.14 Find compound interest on Rs. 8000 at 15% per annum for 2 years 4 months, compounded annually. 2000 2109 3109 3000 Ans . 3109
Q.15 Find the compound interest on Rs. 10,000 in 2 years at 4% per annum, the interest being compounded half-yearly 830 825.32 825 824.32 Ans . 824.32
Q.16 Find the compound interest on Rs. 16,000 at 20% per annum for 9 months,compounded quarterly 2000 2522 3522 3500 Ans . 2522
Q.17 If the simple interest on a sum of money at 5% per annum for 3 years is Rs. 1200, find the compound interest on the same sum for the same period at the same rate. 1261 1360 1260 1161 Ans . 1261
Q.18 In what time will Rs. 1000 become Rs. 1331 at 10% per annum compounded annually? 2 ys 3 yrs 4 yrs 2 yrs 5 months Ans . 3 yrs
Q.19 If Rs. 600 amounts to Rs. 683.20 in two years compounded annually, find the rate of interest per annum. 8% p.a. 10% p.a. 5% p.a. 7% p.a. Ans . 8% p.a.
Q.20 . If the compound interest on a certain sum at 16 (2/3)% to 3 years is Rs.1270, find the simple interest on the same sum at the same rate and f or the same period. 1080 1050 1110 2050 Ans . 1080
Q.21 The difference between the compound interest and simple interest on a certain sum at 10% per annum for 2 years is Rs. 631. Find the sum. Rs.53,110. Rs.63,100. Rs.60,000. Rs.73,100. Ans . Rs.63,100.
Q.22 The difference between the compound interest and the simple interest accrued on an amount of Rs. 18,000 in 2 years was Rs. 405. What was the rate of interest p.c.p.a. ? 7%. 11%. 13%. 15%. Ans . 15%.
Q.23 Divide Rs. 1301 between A and B, so that the amount of A after 7 years is equal to the amount of B after 9 years, the interest being compounded at 4% per annum. Rs.676 and rs.665. Rs.676 and Rs.625. Rs.776 and Rs.725. Rs.576 and Rs.625. Ans . Rs.676 and Rs.625.
Q.24 a certain sum amounts to rs.7350 in 2 years and to rs.8575 in 3 years.find the sum and rate percent. Rs.5200 Rs.5000 Rs.4400 Rs.5400 Ans . Rs.5400
Q.25 .a sum of money amounts to rs.6690 after 3 years and to rs.10,035 after 6 years on compound interest.find the sum. Rs.4460. Rs.4660. Rs.5560. Rs.3460. Ans . Rs.4460.
Q.26 a sum of money doubles itself at compound interest in 15 years.in how many years will it beco,e eight times? 55 years 25 years 35 years 45 years Ans . 45 years
Q.27 What annual payment will discharge a debt of Rs.7620 due in 3years at 16 2/3% per annum interest? Rs.4430 Rs.3550 Rs.3430 Rs.5430 Ans . Rs.3430
Q.28 1.Evaluate:(1)\(log_3\)(27) (2)\(log_7\)(1/343)(3)\(log_100\)(0.01) -3,-3,1s -3,-3,-1 3,3,1 3,-3,-1 Ans . 3,-3,-1
Q.29 (i) \(\log_{7} 1\)(ii)\(\log_{34} 34\) (iii)\(36^{\log_{6} 4} \) 0,0,16 0,0,0 4,2,16 3,0,4 Ans . 0,0,16 Reference https://www.physicsforums.com/threads/how-to-write-log-in-latex.817954/
Q.30 if \(\log_{\sqrt{8}} x\)=3 (1/3), find the value of x. 28 26 32 30 Ans . 32
Q.31 (i) \(\log_{5} 3\)* \(\log_{27} 25\)(ii) \(\log_{10} 27\) – \(\log_{27} 9\) 3/2,6/5 2/3,5/6 3/2,5/6 2/3,6/5 Ans . 2/3,5/6
Q.32 Simplify :(log 75/16-2 log 5/9+log 32/243) 0 log 2 1 log 4 Ans . log2
Q.33 6.Find the value of x which satisfies the relation \(\log_{10} 3\)+\(\log_{10} (4x+1)\)=\(\log_{10} (x+1)\)+1 3/5 7/2 1 5/6 Ans . 7/2
Q.34 .Simplify:[1/\(\log_{xy} (xyz)\) +1/\(\log_{yz} (xyz)\)+1/\(\log_{zx} (xyz)\)] 3 1 0 2 Ans . 2
Q.35 If log 2=0.30103,find the value of log 50. 0.69897 1 1.69897 2.69897 Ans . 1.69897
Q.36 If log 2=0.3010 and log 3=0.4771,find the values of: i) log 25 ii)log 4.5 1.39,0.65 1.98,0.32 2,1 4,3 Ans . 1.39,0.65
Q.37 If log 2=.30103,find the number of digits in \(2^{56}\). 18 15 19 17 Ans . 17
Q.38 One side of a rectangular field is 15 m and one of its diagonals is 17 m. Find the area of the field. 130 \(m^2\) 110 \(m^2\) 120 \(m^2\) 100 \(m^2\) Ans . 120 \(m^2\)
Q.39 A lawn is in the form of a rectangle having its sides in the ratio 2: 3. The area of the lawn is (1/6) hectares. Find the length and breadth of the lawn. 23/33,60 11/3,55 6/5,65 33/3,50 Ans . 33/3,50 So, 2x * 3x = 5000/3 <=> \(x^2\) = 2500/9 <=> x = 50/3 therefore Length = 2x = (100/3) m = 33(1/3) m and Breadth = 3x = 3(50/3) m = 50m. Q.40 Find the cost of carpeting a room 13 m long and 9 m broad with a carpet 75 cm wide at the rate of Rs. 12.40 per square metre. Rs. 1934.40. Rs. 2934.40. Rs. 2234.40. Rs. 1834.40. Ans . Rs. 1934.40.
Q.41 If the diagonal of a rectangle is 17 cm long and its perimeter is 46 cm, find the area of the rectangle. 150 \(cm^2\) 110 \(cm^2\) 120 \(cm^2\) 100 \(cm^2\) Ans . 120 \(cm^2\)
Q.42 The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 75 sq. cm. Find the length of the rectangle. 30 cm 10 cm 20 cm 15 cm Ans . 20 cm
Q.43 In measuring the sides of a rectangle, one side is taken 5% in excess, and the other 4% in deficit. Find the error percent in the area calculated from these measurements. 0.5%. 0.8%. 1.8%. 1.6%. Ans . 0.8%.
Q.44 A rectangular grassy plot 110 m. by 65 m has a gravel path 2.5 m wide all round it on the inside. Find the cost of gravelling the path at 80 paise per sq. metre. Rs. 715 Rs. 450 Rs. 680 Rs. 550 Ans . Rs. 680
Q.45 The perimeters of two squares are 40 cm and 32 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares. 24 cm 14 cm 34 cm 28 cm Ans . 24 cm
Q.46 A room 5m 55cm long and 3m 74 cm broad is to be paved with square tiles. Find the least number of square tiles required to cover the floor. 150 166 160 176 Ans . 176
Q.47 Find the area of a square, one of whose diagonals is 3.8 m long 8.52 \(m^2\) 7.22 \(m^2\) 6.43\(m^2\) 4.2 \(m^2\) Ans . 7.22 \(m^2\)
Q.48 The diagonals of two squares are in the ratio of 2 : 5. Find the ratio of their areas 7 : 25. 4 : 35. 3: 25. 4 : 25. Ans . 4 : 25.
Q.49 If each side of a square is increased by 25%, find the percentage change in its area 55.15% 58.30% 56.25% 60.25% Ans . 56.25%
Q.50 If the length of a certain rectangle is decreased by 4 cm and the width is increased by 3 cm, a square with the same area as the original rectangle would result. Find the perimeter of the original rectang 60 cm 40 cm 50 cm 70 cm Ans . 50 cm
Q.51 A room is half as long again as it is broad. The cost of carpeting the at Rs. 5 per sq. m is Rs. 270 and the cost of papering the four walls at Rs. 10 per m2 is Rs. 1720. If a door and 2 windows occupy 8 sq. m, find the dimensions of the room. l=9,b=8,h=7 l=9,b=6,h=7 l=6,b=6,h=6 l=9,b=6,h=6 Ans . l=9,b=6,h=6
Q.52 Find the area of a triangle whose sides measure 13 cm, 14 cm and 15 cm 94 \(cm^2\). 84 \(cm^2\).. 74 \(cm^2\). 64 \(cm^2\). Ans . 84 \(cm^2\)..
Q.53 Find the area of a right-angled triangle whose base is 12 cm and hypotenuse is 13cm. 30\(cm^2\) 20\(cm^2\) 40\(cm^2\) 50\(cm^2\) Ans . 30\(cm^2\)
Q.54 The base of a triangular field is three times its altitude. If the cost of cultivating the field at Rs. 24.68 per hectare be Rs. 333.18, find its base and height. Base = 700 m and Altitude = 200 m Base = 800 m and Altitude = 300 m Base = 900 m and Altitude = 300 m Base = 600 m and Altitude = 200 m Ans . Base = 900 m and Altitude = 300 m
Q.55 The altitude drawn to the base of an isosceles triangle is 8 cm and the perimeter is 32cm. Find the area of the triangle. 60 \(cm^2\) 70 \(cm^2\) 50 \(cm^2\) 80 \(cm^2\) Ans . 60 \(cm^2\)
Q.56 Find the length of the altitude of an equilateral triangle of side 3\(\sqrt{3}\) cm. 6.5 cm. 5.5 cm. 7.5 cm. 4.5 cm. Ans . 4.5 cm.
Q.57 In two triangles, the ratio of the areas is 4 : 3 and the ratio of their heights is 3 : 4. Find the ratio of their bases. 17 : 9. 16 : 9. 11 : 3 13 : 7 Ans . 16 : 9.
Q.58 The base of a parallelogram is twice its height. If the area of the parallelogram is 72 sq. cm, find its height. 6 cm 9 cm 7 cm 4 cm Ans . 6 cm
Q.59 Find the area of a rhombus one side of which measures 20 cm and 01 diagonal 24 cm. 384 \(cm^2\) 344 \(cm^2\) 388 \(cm^2\) 376 \(cm^2\) Ans . 384 \(cm^2\)
Q.60 The difference between two parallel sides of a trapezium is 4 cm. perpendicular distance between them is 19 cm. If the area of the trapezium is 475 find the lengths of the parallel sides. 28 cm and 25 cm 25 cm and 20 cm 27 cm and 23 cm 30 cm and 28 cm
Ans . 27 cm and 23 cm
Q.61 Find the length of a rope by which a cow must be tethered in order tbat it may be able to graze an area of 9856 sq. metres. 54 52. 58. 56. Ans . paste right option
Q.62 The area of a circular field is 13.86 hectares. Find the cost of fencing it at the rate of Rs. 4.40 per metre. Rs. 5808 Rs. 5765 Rs. 5450 Rs. 5907 Ans . Rs. 5808
Q.63 The diameter of the driving wheel of a bus is 140 em. How many revolution, per minute must the wheel make in order to keep a speed of 66 kmph ? 150. 450. 350. 250. Ans . 250.
Q.64 A wheel makes 1000 revolutions in covering a distance of 88 km. Find the radius of the wheel. 13 m. 15 m. 14 m. 11 m. Ans . 14 m.
Q.65 The inner circumference of a circular race track, 14 m wide, is 440 m. Find radius of the outer circle. 84 m 74 m 76 m 64 m Ans . 84 m
Q.66 Two concentric circles form a ring. The inner and outer circumferences of ring are (352/7) m and (518/7) m respectively. Find the width of the ring. 7 m 8 m 4 m 5 m Ans . 4 m
Q.67 A sector of 120', cut out from a circle, has an area of (66/7) sq. cm. Find the radius of the circle. 5 cm. 3 cm. 2 cm. 4 cm. Ans . 3 cm.
Q.68 Find the ratio of the areas of the incircle and circumcircle of a square. 3 : 5. 1 : 3. 3 : 2. 1 : 2. Ans . 1 : 2.
Q.69 If the radius of a circle is decreased by 50%, find the percentage decrease in its area. 85% 75% 70% 80% Ans . 75%
Q.70 Find the volume and surface area of a cuboid 16 m long, 14 m broad and 7 m high. 768 \(cm^2\) 668 \(cm^2\) 868 \(cm^2\) 568 \(cm^2\) Ans . 868 \(cm^2\)
Q.71 Find the length of the longest pole that can be placed in a room 12 m long 8m broad and 9m high. 16 m. 17 m. 15 m. 13 m. Ans . 17 m.
Q.72 Tbe volume of a wall, 5 times as high as it is broad and 8 times as long as it is high, is 12.8 cu. metres. Find the breadth of the wall. 50 cm 40 cm 30 cm 20 cm Ans . 40 cm
Q.73 Find the number of bricks, each measuring 24 cm x 12 cm x 8 cm, required to construct a wall 24 m long, 8m high and 60 cm thick, if 10% of the wall is filled with mortar? 45000. 55000. 50000. 35000. Ans . 45000.
Q.74 Water flows into a tank 200 m x 160 m througb a rectangular pipe of 1.5m x 1.25 m @ 20 kmph . In what time (in minutes) will the water rise by 2 metres? 94min 95min 93min 96min Ans . 96min
Q.75 Tbe dimensions of an open box are 50 cm, 40 cm and 23 cm. Its thickness is 2 cm. If 1 cubic cm of metal used in the box weighs 0.5 gms, find the weight of the box. 7.84 kg. 8.04 kg. 8.56 kg. 8.44 kg. Ans . 8.04 kg.
Q.76 The diagonal of a cube is 63cm. Find its volume and surface area. 225 \(cm^2\) 116 \(cm^2\) 210 \(cm^2\) 216 \(cm^2\) Ans . 216 \(cm^2\)
Q.77 The surface area of a cube is 1734 sq. cm. Find its volume. 5913 \(cm^3\). 4913 \(cm^3\). 3913 \(cm^3\). 4900 \(cm^3\). Ans . 4913 \(cm^3\).
Q.78 A rectangular block 6 cm by 12 cm by 15 cm is cut up into an exact number of equal cubes. Find the least possible number of cubes. 36. 37 40. 39. Ans . 40.
Q.79 A cube of edge 15 cm is immersed completely in a rectangular vessel containing water . If the dimensions of the base of vessel are 20 cm x 15 cm, find the rise in water level. 10.50 cm 11.25 cm 10.25 cm 11.76 cm Ans . 11.25 cm
Q.80 Three solid cubes of sides 1 cm, 6 cm and 8 cm are melted to form a new cube. Find the surface area of the cube so formed. 486 \(cm^2\) 586 \(cm^2\) 466 \(cm^2\) 476 \(cm^2\) Ans . 486 \(cm^2\)
Q.81 If each edge of a cube is increased by 50%, find the percentage increase in Its surface area. 120% 115% 125% 135% Ans . 125%
Q.82 Two cubes have their volumes in the ratio 1 : 27. Find the ratio of their surface areas. 1:6 1:7 1:9 1:8 Ans . 1:9
Q.83 Find the volume , curved surface area and the total surface area of a cylinder with diameter of base 7 cm and height 40 cm. 987 \(cm^2\) 857 \(cm^2\) 957 \(cm^2\) 897 \(cm^2\) Ans . 957 \(cm^2\)
Q.84 If the capacity of a cylindrical tank is 1848 m3 and the diameter of its base is 14 m, then find the depth of the tank. 11 m 13 m 12 m 14 m Ans . 12 m
Q.85 2.2 cubic dm of lead is to be drawn into a cylindrical wire 0.50 cm diameter. Find the length of the wire in metres. 112 m. 110 m. 111 m. 122 m. Ans . 112 m.
Q.86 How many iron rods, each of length 7 m and diameter 2 cm can be made out of 0.88 cubic metre of iron? 450 300 400 350 Ans . 400
Q.87 The radii of two cylinders are in the ratio 3: 5 and their heights are in tbe ratio of 2 : 3. Find the ratio of their curved surface areas 2.5 2.0 1.5 3.0 Ans . 2.5
Q.88 If 1 cubic cm of cast iron weighs 21 gms, then find the eight of a cast iron pipe of length 1 metre with a bore of 3 cm and in which thickness of the metal is 1cm. 28.3 kg. 26.4 kg. 23.8 kg. 25.14 kg. Ans . 26.4 kg.
Q.89 Find the slant height, volume, curved surface area and the whole surface area of a cone of radius 21 cm and height 28 cm. 45cm 30cm 25cm 35cm Ans . 35cm
Q.90 Find the length of canvas 1.25 m wide required to build a conical tent of base radius 7 metres and height 24 metres 340 m. 460 m. 400 m. 440 m. Ans . 440 m.
Q.91 The heights of two right circular cones are in the ratio 1 : 2 and the perimeters of their bases are in the ratio 3 : 4. Find the ratio of their volumes. 10 : 37 7 : 22 11 : 35 9 : 32 Ans . 9 : 32
Q.92 The radii of the bases of a cylinder and a cone are in the ratio of 3 : 4 and It heights are in the ratio 2 : 3. Find the ratio of their volumes. 7 : 8. 8 : 5. 9 : 8. 7 : 4 Ans . 9 : 8.
Q.93 A conical vessel, whose internal radius is 12 cm and height 50 cm, is full of liquid. The contents are emptied into a cylindrical vessel with internal radius 10 cm. Find the height to which the liquid rises in the cylindrical vessel 24 cm 29 cm 34 cm 26 cm Ans . 24 cm
Q.94 Find the volume and surface area of a sphere of radius 10.5 cm. 4853 \(cm^{3}\),1378 \(cm^{2}\) 4851 \(cm^{3}\),1386 \(cm^{2}\) 4801 \(cm^{3}\),1360 \(cm^{2}\) 4785 \(cm^{3}\),1289 \(cm^{2}\) Ans . 4851 \(cm^{3}\),1386 \(cm^{2}\)
Q.95 If the radius of a sphere is increased by 50%, find the increase percent in volume and the increase percent in the surface area 245.5%, 130%. 222%, 120%. 237.5%, 125%. 235%, 125%. Ans . 237.5%, 125%.
Q.96 Find the number of lead balls, each 1 cm in diameter that can be a sphere of diameter 12 cm. 1728.7 1776 1754 1747.6 Ans . 1728.7
Q.97 How many spherical bullets can be made out of a lead cylinder 28cm high and with radius 6 cm, each bullet being 1.5 cm in diameter ? 1776 1734 1645 1792 Ans . 1792
Q.98 A copper sphere of diameter 18cm is drawn into a wire of diameter 4 mm Find the length of the wire. 343m 256m 243m 213m Ans . 243m
Q.99 Two metallic right circular cones having their heights 4.1 cm and 4.3 cm and the radii of their bases 2.1 cm each, have been melted together and recast into a sphere. Find the diameter of the sphere. 3.5.cm 4.2.cm 3.4.cm 4.7.cm Ans . 4.2.cm
Q.100 A Cone and a sphere have equal radii and equal volumes. Find the ratio of the sphere of the diameter of the sphere to the height of the cone. 1:7 1:2 1:3 1:5 Ans . 1:2
Q.101 Find the volume , curved surface area and the total surface area of a hemisphere of radius 10.5 cm. 1039.5 \(cm^{2}\) 1037.5 \(cm^{2}\) 1041.5 \(cm^{2}\) 1034.5 \(cm^{2}\) Ans . 1039.5 \(cm^{2}\)
Q.102 Hemispherical bowl of internal radius 9 cm contains a liquid. This liquid is to be filled into cylindrical shaped small bottles of diameter 3 cm and height 4 cm. How many bottles will be needed to empty the bowl 45 51 54 63 Ans . 54
Q.103 A Cone,a hemisphere and a cylinder stand on equal bases and have the same height.Find ratio of their volumes. 1:2:2 1:3:3 1:2:3 1:1:3 Ans . 1:2:3
Q.104 In a km race, A beats B by 28 metres or 7 seconds. Find A's timeover the course. 5 min. 6 s 3 min. 5 s 4 min. 3 s 7 min. 3 s Ans . 4 min. 3 s
Q.105 A runs 1 ¾ times as fast as B. if A gives B a start of 84 m, bow far must winning post be so that A and B might reach it at the same time? 196 m 186 m 200 m 206 m Ans . 196 m
Q.106 A can run 1 km in 3 min. 10 sec. and B can cover the same distance in 3 min. 20 sec. By what distance can A beat B ? 64 m 48 m 50 m 68 m Ans . 50 m
Q.107 In a 100 m race, A runs at 8km per hour. If A gives B a start of 4 m and still him by 15 seconds, what is the speed of B ? 5.13 km/hr 5.76 km/hr 4.76 km/hr 4.06 km/hr Ans . 5.76 km/hr
Q.108 A, Band C are three contestants in a km race. If A can give B a start of 40 m and A can give C a start of 64m how many metre's start can B give C ? 806 m 906 m 936 m 986 m Ans . 936 m
Q.109 In a game of 80 points; A can give B 5 points and C 15 points. Then how many points B can give C in a game of 60 ? 7 points 8 points 9 points 5 points Ans . 8 points
Q.110 What was the day of the week on, 16th July, 1776? Wednesday Monday Sunday Tuesday Ans . Tuesday
Q.111 What was the day of the week on 16th August, 1947? Sunday Saturday Monday Friday Ans . Saturday
Q.112 What was the day of the week on 16th April, 2000 ? Sunday Saturday Friday Monday Ans . Sunday
Q.113 On what dates of Jull.2004 did Monday fall? 6th, 13th, 20th and 27th 5th, 12th, 19th and 26th 4th, 11th, 18th and 25th 3th, 10th, 17th and 24th Ans . 5th, 12th, 19th and 26th
Q.114 Find the angle between the hour hand and the minute hand of a clock when 3.25 29° 23° 49° 47*1/2° Ans . 47*1/2°
Q.115 At what time between 2 and 3 o'clock will the hands of a clock be together? 110/13 min. past 8 12/11 min. past 28 120/11 min. past 2 12/19 min. past 20 Ans . 120/11 min. past 2
Q.116 At what time between 4 and 5 o'clock will the hands of a clock be at right angle? 53/11 min. past 14 4/11 min. past 40 40/41 min. past 7 40/11 min. past 4 Ans . paste right option
Q.117 Find at what time between 8 and 9 o'clock will the hands of a clock being the same straight line but not together. 120/11 min 113/11 min 123/13 min 110/13 min Ans . 120/11 min
Q.119 At what time between 5 and 6 o'clock are the hands of a clock 3minapart? 36/11 min. past 9 346/11 min. past 5. 117/11 min. past 5. 316/13 min. past 5. Ans . 346/11 min. past 5
Q.120 The minute hand of a clock overtakes the hour hand at intervals of 65 minutes of the correct time. How much a day does the clock gain or lose? 140/43 minutes 410/42 minutes 450/41 minutes 440/43 minutes Ans . 440/43 minutes
Q.121 A watch which gains uniformly, is 6 min. slow at 8 o'clock in the morning Sunday and it is 6 min. 48 sec. fast at 8 p.m. on following Sunday. When was it correct? Wednesday Friday Thursday Tuesday Ans . Wednesday
Q.122 A clock is set right at 6 a.m. The clock loses 16 minutes in 24 hours. What will be the true time when the clock indicates 10 p.m. on 4th day? 1 a.m 12 p.m 11 p.m 2 a.m Ans . 11 p.m
Q.123 A clock is set right at 8 a.m. The clock gains 10 minutes in 24 hours will be the true time when the clock indicates 1 p.m. on the following day? 36 min. past 11 25 min. past 8 48 min. past 12 36 min. past 18 Ans . 48 min. past 12
Q.124 Find the cost of: (i) Rs. 7200, 8% stock at 90; (ii) Rs. 4500, 8.5% stock at 4 premium; (iii) Rs. 6400, 10% stock at 15 discount. Rs. 6480.,Rs. 4680,Rs. 5440 Rs. 6440.,Rs. 4660,Rs. 5440 Rs. 6560.,Rs. 4120,Rs. 5340 Rs. 6320.,Rs. 3680,Rs. 4440 Ans . Rs. 6480.,Rs. 4680,Rs. 5440
Q.125 Find the cash required to purchase Rs. 3200, 7(1/2) % stock at 107 (brokerage (1/2) %) Rs. (115/2),Rs. 1140 Rs. (215/2),Rs. 3440 Rs. (215/2),Rs. 1440 Rs. (315/2),Rs. 4440 Ans . Rs. (215/2),Rs. 3440
Q.126 Find the cash realised by selling Rs. 2440, 9.5% stock at 4 discount (brokerage (1/4) %) Rs. (324/4),Rs 2198 Rs. (383/4),Rs 2298 Rs. (313/4),Rs 1298 Rs. (333/7),Rs 2228 Ans . Rs. (383/4),Rs 2298
Q.127 Find the annual income derived from Rs. 2500, 8% stock at 106. Rs. 300 Rs. 200 Rs. 150 Rs. 250 Ans . Rs. 200
Q.128 Find the annual income derived by investing Rs. 6800 in 10% stock at 136. Rs. 300 Rs. 600 Rs. 400 Rs. 500 Ans . Rs. 500
Q.129 Which is better investment? 7(1/2) % stock at 105 or 6(1/2) % at 94. 7(1/2) % stock at 105 is better 6(1/2) % at 94 is better 7(1/2) % stock at 105 and 6(1/2) % at 94 is better none of them Ans . 7(1/2) % stock at 105 is better
Q.130 Find the cost of 96 shares of Rs. 10 each at (3/4) discount, brokerage being (1/4) per share. Rs. 812 Rs. 912 Rs. 921 Rs. 902 cAns . Rs. 912
Q.131 Find the income derived from 88 shares of Rs. 25 each at 5 premium, brokerage being (1/4) per share and the rate of dividend being 7(1/2) % per annum. Also, find the rate of interest on the investment. Rs. 165, 6.2 % Rs. 155, 5.5 % Rs. 175, 7.2% Rs. 150, 5.6% Ans . Rs. 165, 6.2 %
Q.132 A man buys Rs. 25 shares in company which pays 9 % dividend. The money invested is such that it gives 10 % on investment. At what price did he buy the shares? Rs. 32.50 Rs. 25.50 Rs. 22.50 Rs. 35.50 Ans . Rs. 22.50
Q.134 A man sells Rs.5000, 12 % stock at 156 and uinvests the proceeds parity in 8 % stock at 90 and 9 % stock at 108. He hereby increases his income by Rs. 70. How much of the proceeds were invested in each stock? Rs. 4500. Rs. 3500. Rs. 3800. Rs. 4200. Ans . Rs. 4200.
Q.135 Evaluate: 30!/28! 770 870 850 800 Ans . 870
Q.136 Find the value of (i) \(_{60}^{3}\textrm{P}\) (ii) \(_{4}^{4}\textrm{P}\) 205320,24 205408,32 205439,30 205310,24 Ans . 205320,24
Q.137 Find the vale of (i) \(_{8}^{10}\textrm{C}\) (ii)\(_{98}^{100}\textrm{C}\) (iii) \(_{50}^{50}\textrm{C}\) 110,4550,1 120,4950,1 120,5050,0 100,5250,0 Ans . 120,4950,1
Q.138 How many words can be formed by using all letters of the word “BIHAR” 110 100 120 80 Ans . 120
Q.139 How many words can be formed by using all letters of the word ‘DAUGHTER’ so that the vowels always come together? 4320 4110 3370 2350 Ans . 4320
Q.140 How many words can be formed from the letters of the word ‘EXTRA’ so that the vowels are never together? 126 118 72 110 Ans . 72
Q.141 How many words can be formed from the letters of the word ‘DIRECTOR’ So that the vowels are always together? 2060 1180 2110 2160 Ans . 2160
Q.142 In how many ways can a cricket eleven be chosen out of a batch of 15 players ? 1365 1330 1265 1225 Ans . 1365
Q.143 In how many ways, a committee of 5 members can be selected from 6 men and 5 ladies, consisting of 3 men and 2 ladies? 100 210 200 110 Ans . 200
Q.144 In a throw of a coin ,find the probability of getting a head 1/5 1/3 1/2 1 Ans . 1/2
Q.145 Two unbiased coin are tossed .what is the probability of getting atmost one head? 3/4 3/2 1/4 1/2 Ans . 3/4
Q.146 An unbiased die is tossed .find the probability of getting a multiple of 3 1/2 1/5 1 1/3 Ans . 1/3
Q.147 In a simultaneous throw of pair of dice .find the probability of getting the total more than 7 5/13 11/12 5/11 5/12 Ans . 5/12
Q.148 A bag contains 6 white and 4 black balls .2 balls are drawn at random. find the probability that they are of same colour. 7/11 7/15 2/15 3/11 Ans . 7/15
Q.149 Two dice are thrown together .What is the probability that the sum of the number on the two faces is divided by 4 or 6 5/13 7/11 7/18 2/3 Ans . 7/18
Q.150 Two cards are drawn at random from a pack of 52 cards.what is the probability that either both are black or both are queen? 5/11 55/21 2/11 55/221 Ans . 55/221
Q.151 Find the present worth of Rs. 930 due 3 years hence at 8% per annum. Also find the discount. Rs. 180 Rs. 102 Rs. 192 Rs. 132 Ans . Rs. 180
Q.152 The true discount on a bill due 9 months hence at 12% per annum is Rs. Find the amount of the bill and its present worth.. Rs. 5000 Rs. 4500 Rs. 6000 Rs.5500 Ans . Rs. 6000
Q.153 The true discount on a certain sum of money due 3 years hence is Rb. 250 and the simple interest on the same sum for the same time and at the same rate is Rs. 375. Find the sumand the rate percent. 16 2/3%. 16 1/5%. 11 5/3%. 13 1/3%. Ans . 16 2/3%.
Q.154 The difference between the simple interest and true discount on a certain sum of money for 6 months at 12% per annum is Rs. 25. Find the sum. Rs.5500 Rs. 6200 Rs.5800 Rs. 6800 Ans . Rs. 6800
Q.155 A bill falls due in 1 year. The creditor agrees to accept immediate payment of the half and to defer the payment of the other half for 2 years. By this arrangement ins Rs. 40. What is the amount of the bill, if the money be worth 12% ?. Rs. 3200 Rs. 3000 Rs. 3600 Rs. 3500 Ans . Rs. 3600
Q.156 A bill for Rs. 6000 is drawn on July 14 at 5 months. It is discounted on 5th October at 10%. Find the banker's discount, true discount, banker's gain and the money that the holder of the bill receives Rs. 5800 Rs. 5880 Rs. 4680 Rs. 4380 Ans . Rs. 5880
Q.157 If the true discount on a certain sum due 6 months hence at 15% is Rs. 120, what is the banker's discount on the same sum for the same time and at the same rate? Rs. 129 Rs. 109 Rs. 125 Rs. 119 Ans . Rs. 129
Q.158 The banker's discount on Rs. 1800 at 12% per annum is equal to the true discount on Rs. 1872 for the same time at the same rate. Find the time. 5 months 3 months 4 months 2 months Ans . 4 months
Q.159 The banker's discount and the true discount on a sum of money due 8 months hence are Rs. 120 and Rs. 110 respectively. Find the sum and the rate percent. 13 7/11% 13 % 11 13/11% 11 17/13% Ans . 13 7/11%
Q.160 The present worth of a bill due sometime hence is Rs. 1100 and the true discount on the bill is Rs. 110. Find the banker's discount and the banker's gain. Rs. 111 Rs. 121 Rs. 110 Rs. 119 Ans . Rs. 121
Q.161 The banker's discount on Rs. 1650 due a certain time hence is Rs. 165. Find the true discount and the banker's gain. Rs 12 Rs 11 Rs 15 Rs 13 Ans . Rs 15
Q.162 What rate percent does a man get for his money when in discounting a bill due 10 months hence, he deducts 10% of the amount of the bill? 13 1/3% 11 1/5% 7 1/3% 12 1/3% Ans . 13 1/3%
Q.163 If the height of a pole is 2\(\sqrt{3}\)metres and the length of its shadow is 2 metres, find the angle of elevation of the sun.. \(30^{\circ}\) \(45^{\circ}\) \(60^{\circ}\) \(90^{\circ}\) Ans . \(60^{\circ}\)
Q.164 A ladder leaning against a wall makes an angle of \(60^{\circ}\) with the ground. If the length of the ladder is 19 m, find the distance of the foot of the ladder from the wall. 7.5 9.5 6.5 8.5 Ans . 9.5
Q.165 The angle of elevation of the top of a tower at a point on the ground is \(30^{\circ}\). On walking 24 m towards the tower, the angle of elevation becomes \(60^{\circ}\). Find the height of the tower. 29 m 22 m 25.6 m 20.76 m Ans . 20.76 m
Q.166 A man standing on the bank of a river observes that the angle subtended by a tree on the opposite bank is \(60^{\circ}\). When he retires 36 m from the bank, he finds the angle to be \(30^{\circ}\). Find the breadth of the river. 12 m 18 m 15 m 20s m Ans . 18 m
Q.167 A man on the top of a tower, standing on the seashore finds that a boat coming towards him takes 10 minutes for the angle of depression to change from \(30^{\circ}\) to \(60^{\circ}\). Find the time taken by the boat to reach the shore from this position. 3 minutes 6 minutes 5 minutes 4 minutes Ans . 5 minutes
Q.168 There are two temples, one on each bank of a river, just opposite to each other. One temple is 54 m high. From the top of this temple, the angles of depression of the top and the foot of the other temple are \(30^{\circ}\) and \(60^{\circ}\) respectively. Find the width of the river and the height of the other temple. 18 m 18 m 18 m 18 m Ans . 18 m
The following table gives the sales of batteries manufactured by a company lit the years. Study the table and answer the questions that follow:
Q.169 The total sales of all the seven years is the maximum for which battery ? 4AH 7AH 32AH 55AH Ans . 32AH
Q.170 What is the difference in the number of 35AH batteries sold in 1993 and 1997 ? 24000 28000 35000 39000 Ans . 39000
Q.171 The percentage of 4AH batteries sold to the total number of batteries sold was maximum in the year: (a) 1994 (b) 1995 (c) 1996 (d) 1997 Ans . 1997
Q.172 In the case of which battery there was a continuous decrease in sales from 1992 to 1997 ? (a) 4AH (b) 7 AH (c) 32AH (d) 35AH Ans . 35AH
Q.173 What was the approximate percentage increase in the sales of 55AH batteries in 1998 compared to that in 1992 ?. (a) 28% (b) 31% (c) 33% (d)34% Ans . 34%.
Study the following table carefully and answer these questions: NUMBER OF CANDIDATES APPEARED AND QUALIFIED IN A COMPETITIVE EXAMINATION FROM DIFFERENT STATES OVER THE YEAR
Q.174 Combining the states P and Q, together in 1998, what is the percentage of the candidates qualified to that of the canditates appeared? (a) 10.87% (b) 11.49% (c) 12.35% (d) 12.54% Ans . 12.35%
Q.175 The percentage of the total number of qualified candidates to the total number appeared candidates among all the five states in 1999 is : (a) 11.49% (b) 11.84% (c)12.21% (d) 12.57 Ans . 11.84%.
Q.176 What is the percentage of candidates qualified from State N for all the years together, over the candidates appeared from State N during all the years together? (a) 12.36% (b) 12.16% (c) 11.47% (d) 11.15% Ans . =11.15%
Q.177 What is the average of candidates who appeared from State Q during the given yeas? 8760 8810 8920 8990 Ans . 8990
Q.178 In which of the given years the number of candidates appeared from State P has maximum percentage of qualified candidates? 1998 1999 2000 2001 Ans . 2001
Q.179 Total number of candidates qualified from all the states together in 1997 is approximately what percentage of the total number of candidates qualified from all the states together in 1998 ? a) 72% (b) 77% (c) 80% (d) 83% Ans . 80%
The following table gives the percentage of marks obtained by seven students in six , different subjects in an examination. Study the table and answer the questions based on it. The numbers in the brackets give the maximum marks in each subject.
Q.180 What was the aggregate of marks obtained by Sajal in all the six subjects? (a)449 (b) 419 (c) 429 (d) 439 Ans . 449
Q.181 What is the overall percentage of Thrun? (a) 52.5% (b) 55% (c) 60% (d) 63% Ans . 60%.
Q.182 What are the average marks obtained by all the seven students in Physics? (rounded off to two digits after decimal) (a) 77.26 (b) 89.14 (c) 91.37 (d) 96.11 Ans . 89.14
Q.183 The number of students who obtained 60% and above marks in all the subjects is : (a) 1 (b) 2 (c) 3 (d) None Ans . 2
Q.184 In which subject is the overall percentage the best? (a) History (b) Maths (c) Physics (d) Chemistry Ans . Maths
Study the following table carefully and answer tbe questions given below:(Bank P.O. 2001) CLASSIFICATION OF 100 STUDENTS BASED ON THE MARKS OBTAINED BY THEM IN PHYSICS AND CHEMISTRY IN AN EXAMINATION
Q.185 The number of students scoring less than 40% marks in aggregate is : (a) 13 (b) 19 (c) 20 (d) 27 Ans . 27
Q.186 If at least 60% marks in Physics are required for pursuing higher studies in Physics,how many students will be eligible to pursue higher studies in Physics? (a) 27 (b) 32 (c) 34 (d)41 Ans . 32
Q.187 What is the difference between the number of students passed with 30 as cut-off marks in Chemistry and those passed with :JUas cut-off marks in aggregate? (a) 3 (b) 4 (c) 5 (d) 6 Ans . 6
Q.188 The percentage of the number of students getting at least 60% marks in Chemistry over those getting at least 40% marks in aggregate, is approximately: (a) 21% (b) 27% (c) 29% (d) 31% Ans . 29%
Q.189 If it is known that at least 23 students were eligible for a Symposium on Chemistry the minimum qualifying marks in Chemistry for eligibility to Symposium would lie in the range: (a) 40-50 (b) 30-40 (c) 20-30 (d) Below 20 Ans . 20-30
The bar graph given below shows the foreign exchange reserves of a country(in million us$) from 1991-92 to 1998-99 .answer the questions basedon this graph.  Q.190 The foreign exchange reserves in 1997-98 was how ,any times that in 1994-95? (a)0.7 (b) 1.2 (c) 1.4 (d) 1.5
Ans . 1.5
Q.191 what was the percentage increase in the foreign exchange reserves in 1997-98 over 1993-94? (a)100 (b)150 (c)200 (d)620 Ans . 100%
Q.192 for which year,the percent increase of foreign exchange reserves over the previous year,is the highest? (a)1992-93 (b)1993-94 (c)1994-95 (d)1996-97 Ans . 1992-93
Q.193 the foreign exchange reserves in 1996-97 werw approximately what percent of the average foreign exchange reserves over the period under review? (a)95% (b)110% (c)115% (d)125% Ans . 125%
Q.194 the ratio of the number of years,in which the foreign exchange reserves are above the average reserves ,to those in which the reserves are below the average reserves is in Physics? (a)2:6 (b)3:4 (c)3:5 (d)4:4 Ans . 3:5
bar-graph provided on next page gives the sales of books (inthousand numbers) from six branches of a publishing company during two consecutive years 2000 and 2001. Answer the questions based on this bargraph: Q.195 total sales of branches b1,b3 and b5 together for both the years (in thousandnumbers) is: (a)250 (b) 310 (c) 435 (d)560 Ans . 560
Q.196 total sales of branch b6 for both the years is what percent of the total sales of branch b3 for both the years? (a) 68.54% (b)71.11% (c) 73.17% (d)75.55% Ans . 73.17%
Q.197 what is the average sale of all the branches (in thousand numbers) for the year2000? (a)73 (b)80 (c)83 (d)88 Ans . 80
Q.198 what is the ratio of the total sales of branch b2 for both years to the total sales of branch b4 for both years ? 3:5 4:5 5:7 7:9 Ans . 7/9
Q.199 what percent of the average sales of branchesn b1,b2 and b3 in 2001 is the average sales of branches b1,b3 and b6 in 2000? 77.5% 82.5% 85% 87.5% Ans . 87.5%
The bar graph provided below gives the data of the production of paper(in thousand tonnes) by three different companies x,y and z over the years .study the graph and answer the questions that followproduction of paper(in laks tonnes) by three companys x,yand z over the years Q.200 What is the difference between the production of the company Z in 1998 andcompany y in 1996? a.2 ,00,000 tons b.20,00,000 tons c.20,000 tons d.2,00,00,000 tons Ans . 2,00,00,000 tons
Q.201 what is the ratio of the average production of company x in the period 1998 to 2000 to the average production of company y in the same period? a.1:1 b.15:27 c.23:25 d.27:29 Ans . Rs. 912
Q.202 what is the percentage increase in the production of company y from1996 to1999? a.30% b.45% c.50% d.60% Ans . 60%c
Q.203 the avreage production of five years was maximum for which company? y z x & y both x and z both Ans . x and z both
Q.204 for which of thw follolwing years the percentage rise / fall in production from previous year is the maximum for company y? a.1997 b.1998 c.1999 d.2000 Ans . 1997
Q.205 in which year was the percentage of production of company z to the production of company y the maximum? a.1996 b.1997 c.1998 d.1999 Ans . 1996
Q.206 In which year,there has been a maximum percentage increase in the amount invested inRawMaterials as compared to the previous year? (a)1996 (b) 1997 (c) 1998 (d) 1999 Ans . 1996
Q.207 Inwhichyear, the percentage change (compared to the previous year) in the investment onRaw Materials is the same as that in the value of sales of finished goods? (a)1996 (b) 1997 (c) 1998 (d) 1999 Ans . 1997
Q.208 Whatwas the difference between the average amount invested in Raw Materials during the given period and the average value of sales of finished goods during this period? (a)Rs. 62.5 lakhs (b) Rs. 68.5 lakhs (c) Rs. 71.5 lakhs (d)Rs.77.51akhs Ans . Rs.77.51akhs
Q.209 The value of sales of finished goods in 1999 was approximately what percent of the average amount invested in Raw Materials in the years 1997,1998 and 1999? (a) 33% (b) 37% (c) 45% (d) 49% Ans . 49%
Q.210 The maximum difference between the amount invested in Raw Materials and the value of sales of finished goods was during the year: (a) 1995 (b) 1996 (c) 1997 (d) 1998 Ans . 1997
Directions(questions 211 to 214) : study the following bar-graph and answer the questions given below. Production of fertilizers by a Company (in 10000 tonnes) over the Years Q.211 In how many of the given years was the production of fertilizers more than the average production of the given years? (a)1 (b)2 (c)3 (d)5 Ans . 5
Q.212 The average production of 1996 and 1997 was exactly equal to the average production of which of the following pairs of years? (a)2000 and 2001 (b)1999 and 2000 (c)1998 and 2000 (d)1995 and 1999 Ans . 1995 and 1999
Q.213 What was the percentage decline in the production of fertilizers from 1997 to 1998? (a) 331/3% (b) 30% (c) 25% (d) 21% Ans . 25%
Q.214 In which year the percentage increase in production as compared to the previous year the maximum? (a) 2002 (b) 2001 (c) 1999 (d) 1997 Ans . 2001
The following pie-chart shows the sources of funds to be collected by the National Highways Authority of India (NHAI) for its Phase II projects. Study the pie-chart and answer the questions that follow. Total funds to be arranged for Projects (Phase II) =Rs.57,600 crores. Q.215 Near about 20% of the funds are to be arranged through: (a) SPVS (b) External Assistance (c) Annuity (d) Market Borrowing Ans . External Assistance
Q.216 The central angle corresponding to Market Borrowing is: (a) 52° (b) 137.8° (c) 187.2° (d) 192.4° Ans . (\(187.2^{\circ}\)
Q.217 The approximate ratio of the funds to be arranged through Toll and that through Market Borrowing is: (a) 2:9 (b) 1:6 (c) 3:11 (d) 2:5 Ans . 1:6
Q.218 If NHAI could receive a total of Rs. 9695 crores as External Assistance, by what percent (approximately) should it increase the Market Borrowings to arrange for the shortage of funds ? (a) 4.5% (b) 7.5% (c) 6% (d) 8% Ans . 6%
Q.219 If the toll is to be collected through an outsourced agency by allowing a maximum 10% commission, how much amount should be permitted to be collected by the outsourced agency, so that the project is supported with Rs. 4910 crores ? (a) Rs.6213 crores (b) Rs. 5827 crores (c) Rs. 5401 crores (d) Rs. 5216 crores Ans . Rs. 5401 crores
The pie-chart provided below gives the distribution of land (in a village) under various food crops. Study the pie-chart carefully and answer the questions that follow. DISTRIBUTION OF AREAS (IN ACRES) UNDER VARIOUS FOOD CROPS Q.220 Which combination of three crops contribute to 50% of the total area under the food crops ? (a) Wheat, Barley and Jowar (b)Rice, Wheat and Jowar (c) Rice, Wheat and Barley (d)Bajra, Maize and Rice Ans . Rice, Wheat and Barley
Q.221 If the total area under jowar was 1.5 million acres, then what was the area (in million acres) under rice? (a)6 (b)7.5 (c)9 (d)4.5 Ans . 6
Q.222 If the production of wheat is 6 times that of barley, then what is the ratio between the yield per acre of wheat and barley ? (a) 3:2 (b) 3:1 (c) 12:1 (d) 2:3 Ans . 3:1
Q.223 If the yield per acre of rice was 50% more than that of barley, then the production of barley is what percent of that of rice ? (a)30% (b)33 % (c)35% (d)36% Ans . 33%
Q.224 If the total area goes up by 5%, and the area under wheat production goes up by 12% , then what will be the angle for wheat in the new pie-chart ? (a)\( 62.4^{\circ}\) (b)\(76.8^{\circ}\) (c) \(80.6^{\circ}\) (d)\(84.2^{\circ}\) Ans . \(76.8^{\circ}\)
The following pie-charts show the distribution of students of graduate and post graduate levels in seven different institute-M,N,P,Q,R,S and T in a town. DISTRIBUTION OF STUDENTS AT GRADUATE AND POST-GRADUATE LEVELS IN SEVEN INSTITUTES-M,N,P,Q,R,S AND T. Q.225 How many students of institutes M and S are studying at graduate level? (a) 7516 (b) 8463 (c) 9127 (d) 9404 Ans . (b) 8463
Q.226 Total number of students studying at post -graduate level from institutes N and P is: (a) 5601 (b) 5944 (c) 6669 (d) 7004 Ans . (c) 6669
Q.227 What is the total number of graduate and post-graduate level students in institute R? (a) 8320 (b) 7916 (c) 9116 (d) 8372 Ans . (d) 8372
Q.228 .What is the ratio between the number of students studying at post graduate and graduate levels respectively from institute S? (a) 14:19 (b) 19:21 (c) 17:21 (d) 19:14 Ans . (d) 19:14
Q.229 What is the ratio between the number of students studying post graduate level from institute S and the number of students studying at graduate level from institute Q? (a) 13:19 (b) 21:13 (c) 13:8 (d)19:13 Ans . (d)19:13
Study the following pie-chart and the table and the answer the questions based on them. PROPORTION OF POPULATION OF SEVEN VILLAGES IN 1997 Q.230 Find the population of villages S if the population of village X below poverty line in 1997 is 12160. (a). 18500 (b) 20500 (c) 22000 (d) 26000 Ans . 22000.
Q.231 The ratio of the population of the village T below poverty line to that of village Z below poverty line in 1997 is: (a) 11:23 (b) 13:11 (c) 23:11 (d) 11:13 Ans . 23:11
Q.232 If the population of village R in 1997 is 32000,then what will be the population of village Y below poverty line in that year? (a) 14100 (b)15600 (c) 16500 (d) 17000 Ans . 15600
Q.233 .If in 1998, the population of villages Y and V increases by 10% each and the percentage of population below poverty line remains unchanged for all the villages, then find the population of village V below poverty line in 1998,given that the population of village Y in 1997 was 30000. (a) 11250 (b) 12760 (c) 13140 (d) 13780 Ans . 12760
Q.234 If in 1998,the population of village R increases by 10% while that of village Z reduces by 5% compared that in 1997 and the percentage of population below poverty line remains unchanged for all the village,then find the approximate ratio of population of village R below poverty line for the year 1999. (a) 2:1 (b) 3:2 (c) 4:3 (d) 5:4 Ans . 2:1
In a school the periodical examination are held every second month. In a session during Apr. 2001 – Mar. 2002, a student of Class IX appeared for each of the periodical exams. The aggregate marks obtained by him in each periodical exam are represented in the line-graph given below. Study the graph and answer the questions based on it.(S.B.I.P.O 2003) MARKS OBTAINED BY A STUDENT IN SIX PERIODICAL EXAMS HELD IN EVERY TWO MONTHS DURING THE YEAR IN THE SESSION 2001-02 Q.235 The total number of marks obtained in Feb. 02 is what percent of the total marks obtained in Apr. 01? (a) 110% (b) 112.5% (c) 115% (d) 116.5% Ans . 112.5%
Q.236 What are the average marks obtained by the student in all the periodical exams of during the session. (a) 373 (b) 379 (c) 381 (d) 385 Ans . 381
Q.237 what is the percentage of marks obtained by the student in the periodical exams of Aug. 01 and Oct. 01 taken together? (a) 73.25% (b) 75.5% (c) 77% (d) 78.75% Ans . 78.75%
Q.238 In which periodical exams there is a fall in percentage of marks as compared to the previous periodical exams? (a) None (b) Jun. 01 (c) Oct. 01 (d) Feb. 01 Ans . none
Q.239 In which periodical exams did the student obtain the highest percentage increase in marks over the previous periodical exams? (a) Jun. 01 (b) Aug. 01 (c) Oct. 01 (d) Dec. 01 Ans . Oct. 01
The following line- graph the ratio of the amounts of imports by a Company to the amount of exports from that Company over the period from 1995 to 2001. The questions given below are based on this graph. (S.B.I.P.O 2001)Ratio of value of Import to Export by a Company over the Years Q.240 In how many of the given years were the exports more than the imports? a. 1 b. 2 c. 3 d. 4 Ans . 4
Q.241 The imports were minimum proportionate to the exports of the Company in the year: a..1995 b.1996 c.1997 d.2001 Ans . 1997
Q.242 If the imports of the Company in 1996 was Rs.272 crores, the exports from the Company in 1996 was: a. Rs.370 crores b.Rs.320 crores c.Rs.280 crores d.Rs.275 crores Ans . b.Rs.320 crores
Q.243 What was the percentage increase in imports from 1997 to 1998? a. 72 b.56 c.28 d.Data inadequate Ans . Data inadequate
Q.244 If the imports in 1998 was Rs.250 crores and the total exports in the years 1998 and 1999 together was Rs.500 crores, then the imports in 1999 was: a.Rs.250 crores b.Rs.300 crores c.Rs 357 crores d.Rs 420 crores Ans . d.Rs 420 crores
Study the following line-graph and answer the question based on it.Number of vehicle Manufactured by Two Companies over the Years (Numbers in thousands) Q.245 What is the difference between the total productions of the two Companies in the given years? a. 19000 b. 22000 c.26000 d.28000 Ans . 26000
Q.246 What is the difference between the numbers of vehicles manufactured by Company Y in 2000 and 2001? a.50000 b.42000 c.33000 d.21000 Ans . 21000
Q.247 What is the average number of vehicles manufactured by Company X over the given period? (rounded off to the nearest integer) a.119333 b.113666 c.112778 d.111223 Ans . 119333
Q.248 In which of the following years, the difference between the productions of Companies X and Y was the maximum among the given years? a.1997 b.1998 c.1999 d.2000 Ans . 2000
Q.249 The production of Company Y in 2000 was approximately what percent of the production of Company X in the same year? a.173. b.164 c.132 d.97 Ans . 164
The following line-graph gives the percent profit earned by two Companies X and Y during the period 1996 – 2001. Study the line – graph and answer the questions that are based on on it. Percentage Profit Earned by Two Companies X and Y over the Given years % profit/ loss = [(Income – Expenditure) / Expenditure] * 100 Q.300 If the expenditure of Company Y in 1997 was Rs. 220 crores, what was its income in 1997? (a). Rs. 312 crores (b). Rs. 297 crores (c) Rs. 283 crores (d) Rs. 275 crores Ans . (b). Rs. 297 crores
Q.301 If the incomes of the two companies were equal in 1999,then what was the ratio of expenditure of Company X to that of company Y in 1999 ? (a) 6:5 (b) 5:6 (c) 11:6 (d) 16:15 Ans . 16:15
Q.302 The incomes of the companies X and Y in 2000 were in the ratio of 3:4 respectively.What was the respective ratio of their expenditures in 2000? (a) 7:22 (b) 14:19 (c) 15:22 (d)27:35 Ans . 15:22
Q.303 If the expenditure ofcompanies X and Y in 1996 were equal and the total income of the two companies in 1996 was Rs.342 crores, what was the total profit of the twocompanies together in 1996 ? (Profit = Income – Expenditure) (a) Rs.240crores (b) Rs.171crores (c) Rs.120crores (d) Rs.102crores Ans . Rs.102crores
Q.304 The expenditure ofcompany X in the year 1998 was Rs.200 crores and the income Company X in 1998 was the same as its expenditure in 2001 was: (a) Rs.465crores (b)Rs.385crores (c)Rs.295crores (d)Rs.255crores Ans . Rs.465crores
How do you calculate the difference between S.I and CI for 4 years?So, diff. betn CI and SI for 4th yr = 0.3456P - 0.2P = 0.1456P . Answer: Difference between Ci and SI for nth year, = (Pr /100) *[(1 +(r /100))n-1 -1] → 7280 = (20P/100) *[(1.2)3-1] → P = 50000.
What is the formula of difference between CI and S.I for 2 years?Hence, rate of interest compounded annually for 2 years is 5% Q. The difference between S.I. and C.I. (compounded annually) on a sum of 64000 for 2 years is 1000.
On what sum of money will the difference between S.I and CI for 2 years at 5% pa be equal to Rs 63?The difference between simple interest and compound interest is Rs. 63. ∴ The required sum of money is Rs. 25200.
What is the difference in simple interest and compound interest on a sum of Rs 3000 kept at 6% for 2 years if the interest is to be compounded annually?The difference between the simple interest and the compound interest on a certain sum of money for 2 years at the rate of 6% per annum is Rs. 28.80.
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What will be the difference between CI and SI at 4% per annum for 2 years on the amount of Rs 30000?
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