1) If a:b = 5:7 and c:d = 2a:3b, then ac : bd is
a. 20:38
b. 50:147
c. 10:21
d. 50:151
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2) If A:B = 2:3, B:C = 4:5 and C:D = 6:7, then A:B:C:D is
a. 18:24:30:35
b. 16:24:30:35
c. 16:22:30:35
d. 16:24:15:35
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3) The three numbers are in the ratio 1/2 : 2/3 : 3/4. The difference between greatest and smallest numbers is 36. Find the numbers.
a. 72, 84, 108
b. 60, 72, 96
c. 72, 84, 96
d. 72, 96, 108
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4) The ratio of numbers of girls and boys participating in sports of a school is 4:5. If the number of girls is 212, determine the number of boys participating in the sports.
a. 256
b. 265
c. 251
d. 263
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5) The ratio of market prices of wheat and paddy is 2:3 and the ratio of quantities consumed in a family is 5:4. Find the ratio of expenditure of wheat and paddy.
a. 6:5
b. 5:6
c. 1:1
d. 8:15
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6) A cistern is normally filled with water in 10 hours but takes 5 hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty the cistern in
a. 20 hours
b. 40 hours
c. 50 hours
d. 30 hours
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7) A and B can finish a piece of work in 30 days, B and C can finish it in 15 days, C and A in 10 days. Time taken by them together to do this work is?
a. 5 days
b. 2(1/2) days
c. 7(1/2) days
d. 10 days
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8) A can do 1/4th part of work in 10 days and B can do 40% work in 40 days and C can do 1/3rd of the work in 13 days. Who will complete the work first?
a. A
b. B
c. C
d. A and C both
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9) A takes twice as much time as B or thrice as much time as C to finish a piece of work; working together they can finish the work in 2 days. B can do the work alone in
a. 12 days
b. 4 days
c. 8 days
d. 6 days
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10) A circular wire of radius 21cm is cut and bent to form in the form of a rectangle whose sides are in the ratio of 6:5. Assuming, Π = 22/7, the area enclosed by the rectangle is
a. 540 cm2
b. 1080 cm2
c. 2160 cm2
d. 4320 cm2
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11) If the areas of the three adjacent faces of a cuboidal box are 120cm2, 72cm2 and 60cm2 respectively, find the volume of the box.
a. 7200 cm3
b. 720 cm3
c. 864 cm3
d. (72)2 cm3
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12) The number of coins of radius 0.75 cm and thickness 0.2 cm to be melted to make a right circular cylinder of height 8 cm and base radius 3 cm is
a. 640
b. 460
c. 500
d. 600
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13) The area of the base of a right circular cone is 154cm2 and its height is 14cm. Taking π = 22/7, the curved surface of the cone is
a. 154 x 5 cm2
b. 154 x 7 cm2
c. 11 cm2
d. 5324 cm2
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14) The L.C.M. of two numbers is 14560 and their H.C.F. is 13. If one of them is 416, the other is
a. 460
b. 455
c. 450
d. 445
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15) The sum of two numbers is 156 and their HCF is 13. The numbers of such number pairs is
a. 2
b. 5
c. 4
d. 3
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16) When a number is divided by 893 the remainder is 193. What will be the remainder when it is divided by 47?
a. 19
b. 5
c. 33
d. 23
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17) What is the least number which when divided by the numbers 3, 5, 6, 8, 10 and 12 leaves in each case a remainder 2 but which when divided by 13 leaves no remainder?
a. 312
b. 962
c. 1586
d. 1562
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18) 
a. 15
b. 25
c. 45
d. 35
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19) An integer is 10 more than its one-third part. The integer is
a. 15
b. 12
c. 18
d. 25
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20) The greatest number of four digits which is divisible by 15, 25, 40, 75 is
a. 600
b. 9000
c. 9600
d. 9400
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