Common Admission Test (CAT) Questions and Answers with Explanation

Q:

A milkman has 20 liters of milk. If he mixes 5 liters of water, which is freely available, in 20 liters of pure milk. If the cost of pure milk is Rs. 18 per litre, then the profit of the milkman, when he sells all the mixture at cost price, is:

A) 20%	B) 25%
C) 33.33%	D) 18%

Answer & Explanation Answer: B) 25%

Explanation:

When the water is freely available and all the water is sold at the price of the milk, then the water gives the profit on the cost of 20 litres of milk.

Since, the profit % = $\frac{P r o f i t}{C o s t P r i c e} x 100$

Therefore, profit percentage = $\frac{5}{20} x 100$ = 25%

Report Error

View Answer Report Error Discuss

Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

44 13843

Q:

Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is ?

A) 16/19	B) 1
C) 3/2	D) 17/20

Answer & Explanation Answer: D) 17/20

Explanation:

n(S) = 20
n(Even no) = 10 = n(E)
n(Prime no) = 8 = n(P)
P(E U P) = 10/20 + 8/20 - 1/20 = 17/20

Report Error

View Answer Report Error Discuss

Filed Under: Probability
Exam Prep: Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

15 13836

Q:

In a 40 litre mixture of alcohol & water, the ratio of alcohol and water is 5 : 3. If 20% of this mixture is taken out and the same amount of water is added then what will be the ratio of alcohol and water in final mixture?

A) 1:1	B) 2:1
C) 3:1	D) 1:2

Answer & Explanation Answer: A) 1:1

Explanation:

Quantity of alohol in the mixture = 40 x 5/8 = 25 lit

Quantity of water = 40 - 25 = 15 lit

According to question,

Required ratio = $\frac{20 - (40 x \frac{20}{100} x \frac{5}{8})}{15 - (40 x \frac{20}{100} x \frac{3}{8}) + 40 x \frac{20}{100}} = \frac{20}{15 - 3 + 8} = 1 : 1$

Report Error

View Answer Report Error Discuss

Filed Under: Alligation or Mixture
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

27 13827

Q:

The percentage discount offered for "Buy 6 get 1 free is" ?

A) 85.78 %	B) 58. 48 %
C) 19.25 %	D) 14.285 %

Answer & Explanation Answer: D) 14.285 %

Explanation:

Total Items = 7
Discounted = 1
Percentage = 1/7 x 100
= 14.285%

Report Error

View Answer Report Error Discuss

Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Bank Clerk , Bank PO

16 13803

Q:

What has One Eye Yet cannot See?

A) One-eyed Jack	B) A Needle
C) Blind Justice	D) Hurricane eye

Answer & Explanation Answer: B) A Needle

Explanation:

What has one eye yet cannot see is An Eye of a Needle.

A needle has an eye through which we thread it but it is not for seeing.

Report Error

View Answer Report Error Discuss

Filed Under: Logic Puzzles
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Analyst , Bank Clerk , Bank PO , Database Administration , IT Trainer

8 13786

Q:

One year ago the ratio between Maneela’s and Shanthi’s salary was 3 : 4. The ratios of their individual salaries between last year’s and this year’s salaries are 4 : 5 and 2 : 3 respectively. At present the total of their salary is Rs. 4160. The salary of Maneela, now is?

A) Rs. 1600	B) Rs. 1700
C) Rs. 1800	D) Rs. 1900

Answer & Explanation Answer: A) Rs. 1600

Explanation:

Let the salaries of Maneela and Shanthi one year before be M1, S1 & now be M2, S2 respectively.

Then, from the given data,

M1/S1 = 3/4 .....(1)

M1/M2 = 4/5 .....(2)

S1/S2 = 2/3 .....(3)

and M2 + S2 = 4160 .....(4)

Solving all these eqtns, we get M2 = Rs. 1600.

Report Error

View Answer Report Error Discuss

Filed Under: Ratios and Proportions
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Analyst , Bank Clerk , Bank PO , Database Administration , IT Trainer

47 13779

Q:

Ashtadhyayi was written by

A) Ved vysa	B) Panini
C) Shukadeva	D) Balmiki

Answer & Explanation Answer: B) Panini

Explanation:

Ashtadhyayi was written by Panini. He was a Sanskrit grammarian who gave a comprehensive and scientific theory of phonetics, phonology, and morphology. Panini was born in Shalatula, a town near to Attock on the Indus river in present day Pakistan.

Ashtadhyayi_was_written_by1565176023.jpg image

Report Error

View Answer Report Error Discuss

Filed Under: Indian History
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

13 13772

Q:

In a row of thirty boys, R is fourth from the right end and W is tenth from the left end . How many boys are there between R and W?

A) 15	B) 16
C) 17	D) can't be determined

Answer & Explanation Answer: B) 16

Explanation:

W = 10th from the left

R = 4th from the right = (30 - 4 + 1= ) 27th from left

No of boys between R and W = (27 - 10) - 1 = 16

Report Error

View Answer Report Error Discuss

Filed Under: Number, Ranking and Time Sequence Test
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

28 13772

CAT Questions

Quick Links