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Old 3rd April 2016, 10:01 AM
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Default Re: AICTE CMAT Question Paper

the sample question paper for the CMAT examination which is conducted by All India Council of Technical Education is as follows:

Quantitative Techniques & Data Interpretation

1. Ram invested `2,500 each in two investment schemes viz. Compound Interest Scheme, interest
being compounded annually and Simple Interest Scheme. If the difference between the CI and SI is `100 after 2 years, what is the rate of interest per annum, if it is same for both the schemes?
(a) 20% (b) 18% (c) 10% (d) 5%

2. Three parts of 32% H2SO4 is mixed with ‘n’ parts of 20% H2SO4 to form a 24.5% H2SO4 solution. What is the value of ‘n’?
(a) 5 (b) 3 (c) 8 (d) 4

3. A family consists of father, mother, son and daughter. Ratio of the weight of the father to the weight of the son is 3 : 2. Ratio of the weight of the son to the weight of the mother is 5 : 6. If the weight of
the daughter is 35 kg, half the weight of the father, find the weight of the mother.
(a) 42 kg (b) 56 kg (c) 46.6 kg (d) Cannot be determined

4. What is the remainder when 41 2 is divided by 127?
(a) 1 (b) 64 (c) 126 (d) 3213. What is the remainder when 41 2 is divided by 127?
(a) 1 (b) 64 (c) 126 (d) 32

5. Five friends went for a movie and spent `1,000 on the movie tickets and 3 popcorn buckets. There was a scheme in which one movie ticket was free with 4 popcorn buckets, but even then they would have spent the same amount. What is the cost of a popcorn bucket?
(a) `250 (b) `125 (c) `100 (d) `75

6. Outside a temple, there is a shoe-keeping shelf with 9 blocks. The blocks are numbered 1 to 9 in a random order. A man wishes to place his shoes in two different blocks of the shelf, such that the product of the two numbers on the blocks should not be a perfect square. In how many ways can he place his shoes?
(a) 30 (b) 31 (c) 32 (d) 33

7. A train on its way took 10 seconds to cross a 50 m long bridge and 20 seconds to cross a 250 m long platform. How much time does the train require to cross a stationary man?
(a) 6 seconds (b) 7.5 seconds (c) 9 seconds (d) 5 seconds

8. The question given below is followed by two statements, I and II. Mark the answer using the following instructions:
(a) If the question can be answered by using one of the statements alone, but cannot be answered by using the other statement alone.
(b) If the question can be answered by using both the statements together, but cannot be answered by using either statement alone.
(c) If the question can be answered by using either statement alone.
(d) If the question cannot be answered even by using both the statements together.
Q. Is x > y?
I. |x – 5| > 5 and y = 0
II. |x – y| > 5

9. Amit started a job alone and Bob joined him after a few days. The work got completed in 8 days. Amit would have required 2 more days to complete the work alone whereas Bob could have completed the work alone in 25 days. For how many days did Bob work?
(a) 3 (b) 2 (c) 6 (d) 5

10. Runs scored by a batsman from the first to the sixth innings in an ODI series were in increasing arithmetic progression. What is the average of the runs scored by him in the last five innings?
(a) Average of the runs scored in 3rd and 4th innings
(b) Runs scored in the 3rd innings
(c) Runs scored in the 4th innings
(d) Cannot be determined

11. The HCF and LCM of two numbers are 42 and 630 respectively. If one of the numbers is 210, find the other number.
(a) 126 (b) 84 (c) 105 (d) 189

12. How many numbers from 100 to 200 (including both) have 2 as exactly one of its digits and leave a remainder of 2 when divided by 6?
(a) 3 (b) 2 (c) 5 (d) 4
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