1 .
A man sets out on cycle from Delhi to Faridabad, and at the same time another man starts from Faridabad on cycle for Delhi. After passing each other they complete their journeys in 2$6 \over 7$ and 5 $3\over 5$ hours respectively. At At what rate does the second man cycle if the first man cycles at 14 kmph?
A.  10 kmph
B.  5 kmph
C.  7 kmph
D.  8 kmph
E.  None of these
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2 .
The inner circumference of a circular race track 14 m wide is 440m. Find the radius of the outer circle
A.  21 m
B.  12 m
C.  84 m
D.  20 m
E.  None of these
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3 .
The ratio of the radii of the bases of two cylinders A and B is 3 : 2 and the ratio of their heights is n : 1. If the volume of cylinder A is one-and-a-half times the volume of cylinder B, then what will be the value of n?
A.  $4 \over 3$
B.  $2 \over 3$
C.  $3 \over 4$
D.  $3 \over 2$
E.  None of these
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4 .
The volumes of a right circular cylinder and a sphere are equal. Their radii are also equal. If h is the height of the cylinder and d is the diameter of the sphere, then find the correct relation from the given options
A.  h = d
B.  2h = d
C.  2h = 3d
D.  3h = 2d
E.  None of these
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5 .
If 10% discount is allowed on the marked price then the profit is 20%. If the discount is increased to 20% then what will be the profit percentage ?
A.  6$2 \over 3$%
B.  5%
C.  8%
D.  5$1 \over 3$%
E.  12$1 \over 2$%
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6 .
A, B and C jointly started a business. A got $3\over 5$ part of the whole profit. The remaining profit was distributed equally between B and C. If C got Rs. 400 less than A then find the total amount of profit.
A.  Rs. 1600
B.  Rs. 1200
C.  Rs. 1000
D.  Rs. 800
E.  None of these
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7 .
Two numbers are in the ratio of 1 : 2. If 7 is added to both the numbers their ratio changes to 3 : 5. The greater number is
A.  24
B.  36
C.  28
D.  32
E.  None of these
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8 .
Eight litres are drawn from a cask full of wine and the cask is filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of water is 16 : 65. How much wine did the cask hold originally?
A.  18 litres
B.  24 litres
C.  32 litres
D.  42 litres
E.  None of these
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9 .
3 years ago, the average age of a family of 5 members was 17 years. A baby having been born, the average age of the family is the same today. The present age of the baby is
A.  1 year
B.  1$1 \over 2$ years
C.  2 years
D.  3 years
E.  None of these
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10 .
The ratio of the number of boys to that of girls of a school with 504 students is 13 : 11. What will be the new ratio if 12 more girl students are admitted?
A.  91 : 81
B.  81 : 91
C.  9 : 10
D.  10 : 9
E.  None of these
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