Common Admission Test (CAT) Questions and Answers with Explanation

Q:

Sum of the ages of Rajesh, Suresh, Mahesh and Dinesh is 76 years. 7 years hence, their age ratio is 7:6:5:8. Find Mahesh’s present age ?

A) 17 years	B) 13 years
C) 14 years	D) 16 years

Answer & Explanation Answer: B) 13 years

Explanation:

Given R + S + M + D = 76

=> R+7 : S+7 : M+7 : D+7 = 7:6:5:8

=> Let the ratio = x

=> M+7 = 5x

=> M = 5x-7

=> R = 7x-7

=> S = 6x-7

=> D = 8x-7

=> R + S + M + D = 76

=> 7x-7 + 6x-7 + 5x-7 + 8x-7 = 76

=> 26x - 28 = 76

=> 26x = 104

=> x = 4

=> Mahesh's present age = 5x-7 = 20 - 7 = 13 years.

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Filed Under: Problems on Ages
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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23 15311

Q:

The milk and water in two vessels A and B are in the ratio 4:3 and 2:3 respectively. In what ratio the liquids in both the vessels be mixed to obtain a new mixture in vessel c consisting half milk and half water?

A) 8:3	B) 6:7
C) 7:5	D) 11:7

Answer & Explanation Answer: C) 7:5

Explanation:

Milk in 1-litre mixture of A = 4/7 litre.

Milk in 1-litre mixture of B = 2/5 litre.

Milk in 1-litre mixture of C = 1/2 litre.

By rule of alligation we have required ratio X:Y

X : Y

4/7 2/5

\ /

(Mean ratio)
(1/2)

/ \

(1/2 – 2/5) : (4/7 – 1/2)

1/10 1/1 4

So Required ratio = X : Y = 1/10 : 1/14 = 7:5

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Filed Under: Alligation or Mixture
Exam Prep: CAT , Bank Exams , AIEEE
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24 15306

Q:

Commercial banks are funded through which of the following?

A) Customer deposits	B) Services
C) Stock holders	D) Government funding

Answer & Explanation Answer: A) Customer deposits

Explanation:

A commercial bank is a financial body which performs the functions of accepting deposits from the general public and giving short term loans for investment with the aim of earning profit.

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Filed Under: Bank Interview
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5 15298

Q:

Two bike riders ride in opposite directions around a circular track, starting at the same time from the same point. Biker A rides at a speed of 16 kmph and biker B rides at a speed of 14 kmph. If the track has a diameter of 40 km, after how much time (in hours) will the two bikers meet?

A) 6.52	B) 8.14
C) 4.18	D) 5.02

Answer & Explanation Answer: C) 4.18

Explanation:

Distance to be covered = $πD$ = $40 π$ km

Relative speed of bikers = 16 + 14 = 30 kmph.

Now, $t i m e = \frac{d i s \tan c e}{s p e e d}$ = $\frac{40 π}{30}$ = 4.18 hrs.

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Filed Under: Time and Distance
Exam Prep: CAT
Job Role: Bank Clerk

21 15271

Q:

Solve the following equations and find the value of abc?

A) 3	B) 6
C) 9	D) 12

Answer & Explanation Answer: B) 6

Explanation:

From the given equations,

$(a + b + c)^{2} = a^{2} + b^{2} + c^{2} + 2 (ab + bc + ca)$
${(6)}^{2} = 14 + 2 (ab + bc + ca)$
36 - 14 = 2(ab + bc + ca)
22/2 = ab + bc + ca
ab + bc + ca = 11

$a^{3} + b^{3} + c^{3} - 3 abc = (a + b + c) (a^{2} + b^{2} + c^{2} - ab - bc - ca)$
= (6) (14 - 11)
=(6)(3)
=18

Since, $a^{3} + b^{3} + c^{3} - 3 abc = 18$

36 - 3abc = 18

-3abc = 18 - 36

-3abc = -18

abc = 6.

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Filed Under: Math Puzzles
Exam Prep: Bank Exams , CAT

37 15270

Q:

Financial statements are prepared from which trial balance?

A) Unadjusted trial balance	B) Adjusted trial balance
C) Post- closing trial balance	D) None of the above

Answer & Explanation Answer: B) Adjusted trial balance

Explanation:

Financial statements can be prepared from the Adjusted trial balance. A trial balance is a report containing list of all the general ledger accounts i.e, debits and credits contained in the ledger of a business. The types of trial balance include : Unadjusted trial balance, Adjusted trial balance and the Post- closing trial balance.

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Filed Under: Bank Interview
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7 15225

Q:

Some children goto ice-cream shop. 9 flavours are available there. Each child takes a cone with two different flavours. No two children take same combination and they have taken all such possible combinations. How many children went to ice cream shop ?

A) 28	B) 56
C) 44	D) 36

Answer & Explanation Answer: D) 36

Explanation:

Given there are 9 flavours of ice creams.

Each child takes the combination of two flavours and no two children will have the same combination

This can be done by ways i.e children.

Number of children= $C_{2}^{9}$ = 9 x 8 / 1x 2 = 36.

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Filed Under: Permutations and Combinations
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Q:

Which of the following is not a function of a Warehouse?

A) Ensuring Profit	B) Stabilisation in price
C) Risk-bearing	D) Storage

Answer & Explanation Answer: A) Ensuring Profit

Explanation:

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Filed Under: Data Warehousing
Exam Prep: Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO , Database Administration , IT Trainer

2 15160

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