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APTITUDERANDOMTEST
Ques 1 :
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.
(A) 56 m
(B) 84 m
(C) 112 m
(D) 140 m
Ques 2 :
Solve for x and y: 1/x - 1/y = 1/3, 1/x2 + 1/y2 = 5/9.
(A) x = 5/2 or -5 and y = 3 or -3/2.
(B) x = 3/2 or -3 and y = 5 or -5/2.
(C) x = 3/2 or -3 and y = 2 or -3/2.
(D) x = 3/2 or -3 and y = 3 or -3/2.
Ques 3 :
With a 4/5 full tank a vehicle can travel 12 miles, how far can it travel with a 1/3 full tank
Ans.
(A) 3 miles
(B) 5 miles
(C) 7 miles
(D) 2 miles
Ques 4 :
Of the two-digit numbers (those from 11 to 95, both inclusive) how many have a Second digit greater than the first digit?
(A) 35
(B) 36
(C) 37
(D) 38
Ques 5 :
Simplify :(log 75/16-2 log 5/9+log 32/243)
(A) log 2
(B) log 3
(C) log 4
(D) log 5
Ques 6 :
What will come in place of question mark (?)
66, 6, 198, 18, 594, ?
(A) 54
(B) 58
(C) 45
(D) 85
Ques 7 :
A boat travels 20 kms upstream in 6 hrs and 18 kms downstream in 4 hrs.Find the speed of the boat in still water and the speed of the water current?
(A) 1/2 kmph
(B) 7/12 kmph
(C) 5 kmph
(D) none of these
Ques 8 :
Pipes P and Q can fill a tank in 12 minutes and 16 minutes respectively. Both are kept open for x minutes and then Q is closed and P fills the rest of the tank in 5 minutes. The value of x is.
(A) 6
(B) 4
(C) 2
(D) 3
Ques 9 :
In a boat 25 persons were sitting. Their average weight increased one kilogram when One man goes and a new man comes in. The weight of the new man is 70kgs. Find the Weight of the man who is going.
(A) 25 kgs
(B) 35 kgs
(C) 45 kgs
(D) 55 kgs
Ques 10 :
Two boys begin together to write out a booklet containing 535 lines. The first boy starts with the first line, writing at the rate of 100 lines an hour; and the second starts with the last line then writes line 534 and so on, backward proceeding at the rate of 50 lines an hour. At what line will they meet?
(A) 356
(B) 277
(C) 357
(D) 267
Ques 11 :
What is the sum of the first 25 natural odd numbers?
(A) 225
(B) 125
(C) 525
(D) 625
Ques 12 :
In a mixture, R is 2 parts and S is 1 part. In order to make S to 25% of the mixture, how much of R is to be added?
(A) Four part of R
(B) Three part of R
(C) Two part of R
(D) One part of R
Ques 13 :
Find the simple interest on Rs. 68,000 at 16 2/3% per annum for 9 months.
(A) 8100
(B) 8200
(C) 8300
(D) 8500
Ques 14 :
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.
(A) 0.6%
(B) 0.8%
(C) 0.5%
(D) 0.7%
Ques 15 :
The ages of two persons differ by 16 years. If 6 years ago, the elder one be 3 times as old as the younger one, find their present ages.
(A) 12 years and 28 years
(B) 14 years and 30 years
(C) 16 years and 32 years
(D) 18 years and 34 years
Ques 16 :
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?
(A) 129
(B) 132
(C) 127
(D) 135
Ques 17 :
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.
(A) rs.646 and rs.655
(B) rs.656 and rs.645
(C) rs.676 and rs.625
(D) rs.696 and rs.605
Ques 18 :
One side of a rectangular field is 15 m and one of its diagonals is 17 m. Find the area of the field. 120 m
2
(A) 80 m
2
(B) 100 m
2
(C) 120 m
2
(D) 140 m
2
Ques 19 :
The sum of a rational number and its reciprocal is 13/6. Find the number.
(A) x = 5/3 or x = 3/2
(B) x = 2/3 or x = 3/2
(C) x = 2/3 or x = 5/2
(D) x = 5/3 or x = 3/5
Ques 20 :
if 6, 24, 60,120, 210, ?
(A) 336
(B) 366
(C) 330
(D) 660
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