CMRL Aptitude-Reasoning Papers
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1. 832.58-242.31 = 779.84 - ?
a) 179.57
b) 199.57
c) 295.05
d) None of these (Ans)
Explanation : Let 832.58 - 242.31 = 779.84 - X
Then, x = (779.84+ 242.31) - 832.58 = 1022.15 - 832.58=189.57
2. If α is a complex number such that α2+ α+ 1 = 0, then what is α31 equal to ?
a) α (Ans)
b) α2
c) 0
d) 1
3. The circle x2 , y2 , z2 are in AP, then y + z, z+x ; x+y are
a) in AP
b) in HP (Ans)
c) in GP
d) neither in AP nor in GP
4. The difference between simple interest and compound on Rs. 1200 for one year at 10% per annum reckoned half-yearly is:
a) Rs. 2.50
b) Rs. 3 (Ans)
c) Rs. 3.75
d) Rs. 4
e) None of these
Explanation: S.I. = Rs.(1200 x 10 x 1) = Rs. 120.
100
C.I. = Rs. 1200 x (1 + 5 )2 - 1200 = Rs. 123.
100
:. Difference = Rs. (123 - 120) = Rs. 3
5. A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:
a) 588 apples
b) 600 apples
c) 672 apples
d) 700 apples (Ans)
Explanation: Suppose originally he had x apples. Then, (100 - 40)% of x =420.
=> 60/100 xx = 420
=> x = (420 x 100) = 700
60
6. A car travelling with 
of its actual speed covers 42 km in 1 hr 40 min 48 sec. Find the actual speed of the car.
a) 17 and 6/7 km /hr
b) 25 km/hr
c) 30 km/hr
d) 35 km/hr (Ans)
Answer: Option D
Explanation: Time taken = 1 hr 40 min 48 sec = 1 hr 40 and 4/5 min = 1and 51/75 hrs = 126/75 hrs.
Let the actual speed be x km/hr.
Then, 5 x 126 = 42
7 75
==> x = (42 x 7x75) = 35 km/hr
5 x 126
7. Direction (for Q.No. 6): Find out the wrong number in the given sequence of numbers.
105, 85, 60, 30, 0, -45, -90
a) 0 (Ans)
b) 85
c) -45
d) 60
Explanation : Subtract 20, 25, 30, 35, 40, 45 from successive numbers. So, 0 is wrong.
Direction (for Q.No. 8): Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and Give answer (a) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question. Give answer (b) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question. Give answer (c) if the data either in Statement I or in Statement II alone are sufficient to answer the question. Give answer (d) if the data even in both Statements I and II together are not sufficient to answer the question. Give answer (e) if the data in both Statements I and II together are necessary to answer the question.
8. The area of playground is 1600 m2. What is the perimeter?
I. It is a perfect square playground.
II. It costs Rs. 3200 to put a fence around the playground at the rate of Rs. 20 per metre.
a) I alone sufficient while II alone not sufficient to answer
b) II alone sufficient while I alone not sufficient to answer
c) Either I or II alone sufficient to answer (Ans)
d) Both I and II are not sufficient to answer
e) Both I and II are necessary to answer
Explanation : Area = 1600 m2
I. Side = √1600 m = 40m. So, perimeter =(40x4)m = 160m
:. I alone gives the answer
II. Perimeter = Total Cost = 3200 m = 160 m
Cost per metre 20
:. II alone gives the answer
9. If 5a = 3125, then the value of 5(a - 3) is:
a) 25 (Ans)
b) 125
c) 625
d) 1625
Explanation: 5a = 3125 => 5a = 55
=>a = 5.
:. 5(a - 3) = 5(5 - 3) = 52 = 25.
10. The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5 : 8, then the second number is:
a) 20
b) 30
c) 48 (Ans)
d) 58
Explanation: Let the three parts be A, B, C. Then,
A : B = 2 : 3 and B : C = 5 : 8 = (5 x 3/5): (8 x3/5) = 3: 24/5
==> A:B:C = 2:3: 24/5 = 10:15:24
==> B = (98 x 15/49) = 30
