Common Admission Test (CAT) Questions and Answers with Explanation

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
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52 20571

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
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26 20544

Q:

M and N have children A and B.
F is spouse of B.
D is child of F.
P is son in law of N.
K is kid of P.

Who is male chiled of M and N ?

A) B	B) A
C) None	D) Can't be determined

Answer & Explanation Answer: A) B

Explanation:

Spouse means a person's partner in marriage, it can be male or female.
But given F is spouse of B
And P is Son in law of N
Relation between F and B
Relation between P and A only
and p is male So, A must be female
=> B is male child.

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Filed Under: Logic
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14 20529

Q:

5 men and 4 women are to be seated in a row so that the women occupy the even places . How many such arrangements are possible?

A) 2880	B) 1440
C) 720	D) 2020

Answer & Explanation Answer: A) 2880

Explanation:

There are total 9 places out of which 4 are even and rest 5 places are odd.

4 women can be arranged at 4 even places in 4! ways.

and 5 men can be placed in remaining 5 places in 5! ways.

Hence, the required number of permutations = 4! x 5! = 24 x 120 = 2880

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Filed Under: Permutations and Combinations
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8 20522

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
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21 20514

Q:

Find the number of triangles in the given figure ?

analyticalreasoning81484544890.png image

A) 21	B) 15
C) 18	D) 20

Answer & Explanation Answer: A) 21

Explanation:

analyticalreasoning8answer121484544955.png image

The simplest triangles are AKI, AIL, EKD, LFB, DJC, DKJ, KIJ, ILJ, JLB, BJC, DHC and BCG i.e. 12 in number.
The triangles composed of two components each are AKJ, ALJ, AKL, ADJ, AJB and DBC i.e. 6 in number.
The triangles composed of the three components each are ADC and ABC i.e. 2 in number.
There is only one triangle i.e. ADB composed of four components.
Thus, there are 12 + 6 + 2 + 1 = 21 triangles in the figure.

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Filed Under: Analytical Reasoning
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49 20480

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
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18 20459

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 20451

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