Common Admission Test (CAT) Questions and Answers with Explanation

Q:

A,B and C enter into a partnership in the ratio $\frac{7}{2} : \frac{4}{3} : \frac{6}{5}$ . After 4 months, A increases his share by 50%. If the total profit at the end of one year be Rs. 21600, then B's share in the profit is :

A) Rs. 4000	B) Rs. 6000
C) Rs. 9000	D) Rs. 3000

Answer & Explanation Answer: A) Rs. 4000

Explanation:

Given ratio of initial investments = $\frac{7}{2} : \frac{4}{3} : \frac{6}{5}$ = 105 : 40 : 36.

Let the initial investments be 105x, 40x and 36x.

$∴ A : B : C = (105 x \times 4 + \frac{150}{100} \times 105 x \times 8) : (40 x \times 12) : (36 x \times 12)$

= 1680x : 480x : 432x = 35 : 10 : 9.

Hence, B's share = $(21600 \times \frac{10}{54})$ = Rs. 4000.

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Filed Under: Partnership
Exam Prep: CAT
Job Role: Bank PO

18 20801

Q:

In a certain code language ‘ROUTINE’ is written as 'VMRGFLI'. How will 'CRUELTY' be written in that code language ?

A) UPVCZLR	B) VPCVZRL
C) CVCPZRL	D) VCPCZLR

Answer & Explanation Answer: B) VPCVZRL

Explanation:

ROUTINE IS 7 LETTER WORD.. (1st=R,2nd=O,3rd=U,4th=T,5th=I,6th=N,7th=E)
1st and 3rd letter interchanging. (UORTINE)
5th and 7th letter interchanging. (UORTENI)
1st letter shifting one after that (VORTENI)
2nd letter shifting two befor that (VMRTENI)
3rd letter remains same (VMRTENI)
4th letter
(total alphabets - current)+1
(26 - 20)+1= 7.(i.e) G (VMRGFNI)
5th letter shifting one after that (VMRGFNI)
6th letter shifting two befor that (VMRGFLI)
7th letter remains same (VMRGFLI
Like that,
CRUELTY IS 7 LETTER WORD.. (1st=C,2nd=R,3rd=U,4th=E,5th=L,6th=T,7th=Y)
1st and 3rd letter interchanging. (URCELTY)
5th and 7th letter interchanging. (URCEYTL)
1st letter shifting one after that (VRCEYTL)
2nd letter shifting two befor that (VPCEYTL)
3rd letter remains same (VPCEYTL)
4th letter
(total alphabets - current)+1
(26 - 5)+1= 22.(i.e) V (VPCVYTL)
5th letter shifting one after that (VPCVZTL)
6th letter shifting two befor that (VPCVZRL)
7th letter remains same (VPCVZRL).

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Filed Under: Coding and Decoding
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

115 20799

Q:

An employee may claim Rs. 7.00 for each km when he travels by taxi and Rs. 6.00 for each km if he drives his own car. If in one week he claimed Rs. 595 for traveling 90 km. How many kms did he travel by taxi ?

A) 55 kms	B) 35 kms
C) 25 kms	D) 65 kms

Answer & Explanation Answer: A) 55 kms

Explanation:

Let x and y be the respective km's travelled by man via taxi and by his own car.
Given x + y = 90 => x = 90 - y
But according to the question,
7x + 6y = 595
7(90-y) + 6y = 595
=> 630 - 7y + 6y = 595
=> y = 630 - 595 = 35
=> x = 90 - 35 = 55
Therefore, the distance travelled by taxi is 55 kms.

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Filed Under: Time and Distance
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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24 20785

Q:

What loses its head every morning and gets it back every night?

A) Pillow	B) Candle
C) Moon	D) Light

Answer & Explanation Answer: A) Pillow

Explanation:

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Filed Under: Logic Puzzles
Exam Prep: AIEEE , Bank Exams , CAT , GRE , TOEFL
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29 20756

Q:

Yard is to Inch as Quart is to

A) Milk	B) Gallon
C) Liquid	D) Ounce

Answer & Explanation Answer: D) Ounce

Explanation:

Yard is to Inch as Quart is to Ounce.

Because Yard and Inch are units of measurement Where Yard is larger than Inch i.e, 1 Yard = 36 Inches.

So, here Quart and Ounce are also units of measurement where Quart is larger than Ounce i.e, 1 Quart = 32 Ounces.

Gallon is not correct because Gallon is larger than Quart and Milk and Liquid are not units of measurement.

So, Ounce is correct.

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

21 20751

Q:

Find the next number in the series 14, 916, 2536,......

A) 4981	B) 6481
C) 4964	D) 6449

Answer & Explanation Answer: C) 4964

Explanation:

The pattern is $1^{2} 2^{2}, 3^{2} 4^{2}, 5^{2} 6^{2}$ ,

$∴$ The next number= $7^{2} 8^{2}$ = 4964

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Filed Under: Numbers
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45 20749

Q:

1 Joule is Equal to

A) 10^3 ergs	B) 10^6 ergs
C) 10^7 ergs	D) 10^5 ergs

Answer & Explanation Answer: C) 10^7 ergs

Explanation:

1 Joule = $10^{7 e r g s}$ = 0.000239 Kilo Calories.

Joule is the Unit of Energy.

Joule is equal to Energy transferred to an object when a force of One Newton acts on that object in the direction of its motion through a distance of one metre.(1 N-m)

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Filed Under: Physics
Exam Prep: CAT , Bank Exams , AIEEE
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52 20702

Q:

A candidate got 35% of the votes polled and he lost to his rival by 2250 votes. How many votes were cast ?

A) 7500	B) 6200
C) 5600	D) 4700

Answer & Explanation Answer: A) 7500

Explanation:

Let the candidates be A & B
35%-----------A
65%-----------B

Difference of votes (65-35)% = 30%

=> 30% ------- 2250
Then for 100% -------- ? => 7500

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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26 20677

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