Common Admission Test (CAT) Questions and Answers with Explanation

Q:

In a queue, Amrita is 10th from the front while Mukul is 25th from behind and Mamta is just in the middle of the two. If there be 50 persons in the queue. What position does Mamta occupy from the front ?

A) 14th	B) 16th
C) 18th	D) 20th

Answer & Explanation Answer: C) 18th

Explanation:

Number of persons between Amrita and Mukul = 50 - (10 + 25) = 15. Since Mamta lies in middle of these 15 persons, so Mamta`s position is 8th from Amrita i.e. 18th from the front.

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Q:

what is the chemical name of the compound

${Cu}_{2} {CO}_{3}$

A) copper (ii) carbonate	B) copper (iii) carbonate
C) copper (i) carbonate	D) copper carbonate

Answer & Explanation Answer: C) copper (i) carbonate

Explanation:

The chemical name of the compound

${Cu}_{2} {CO}_{3 is}$ Copper (i) carbonate and is also called as cuprous carbonate.

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Q:

What will come in place of the question mark (?) in the following number series?

5, 7, ?, 25, 45, 75

A) 11	B) 13
C) 15	D) 19

Answer & Explanation Answer: B) 13

Explanation:

The series given follow the pattern

+2, +2+4, +2+4+6, +2+4+6+8, +2+4+6+8+10,...

Here ? = 7 + 2 + 4 = 13.

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Q:

Simplify $(2 \sqrt{392} - 21) + {(\sqrt{8} - 7)}^{2} = {(?)}^{2}$

A) 4	B) 5
C) 6	D) 9

Answer & Explanation Answer: C) 6

Explanation:

${(?)}^{2} = (2 \times 7 \sqrt{8} - 21 + 8 + 49 - 14 \sqrt{8}) = 57 - 21 = 36 = > ? = \pm 6$

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Filed Under: Simplification
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Q:

A boat takes 19 hours for travelling downstream from point A to point B and coming back to a point C which is at midway between A and B. If the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph, what is the distance between A and B ?

A) 180 km	B) 160 km
C) 140 km	D) 120 km

Answer & Explanation Answer: A) 180 km

Explanation:

Speed in downstream = (14 + 4) km/hr = 18 km/hr;

Speed in upstream = (14 – 4) km/hr = 10 km/hr.

Let the distance between A and B be x km. Then,

x/18 + (x/2)/10 = 19 ⇔ x/18 + x/20 = 19 ⇒ x = 180 km.

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Q:

What value will come in place of question mark (?) in following number series?

12, 16, 32, 68, ?

A) 198	B) 164
C) 132	D) 118

Answer & Explanation Answer: C) 132

Explanation:

Given series is

12 16 32 68 ?

Here it follows a pattern that,

12

12 + (2x2) = 16

16 + (4x4) = 32

32 + (6x6) = 68

68 + (8x8) = 132

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Q:

The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 12%, then the cost price of the article is :

A) Rs. 560	B) Rs. 530
C) Rs. 500	D) Rs. 514

Answer & Explanation Answer: C) Rs. 500

Explanation:

110% of S.P. = Rs. 616

S.P. = (616 x 100)/110 = Rs. 560

C.P = (110 x 560)/112 = Rs. 500

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64 26018

Q:

Correction of sentences:

What your Sirname is?

A) What your Sirname?	B) What is your Sirname?
C) Your Sirname is what?	D) None of the above

Answer & Explanation Answer: B) What is your Sirname?

Explanation:

'What is your Sirname?' is the correct sentence of the given sentence in English grammar.

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