Common Admission Test (CAT) Questions and Answers with Explanation

Q:

A sweet seller sells 3/5th part of sweets at a profit of 10% and remaining at a loss of 5%. If the total profit is Rs 1500, then what is the total cost price of sweets ?

A) Rs.37,500	B) Rs.36,400
C) Rs.37,415	D) Rs.36,500

Answer & Explanation Answer: A) Rs.37,500

Explanation:

Assume A be the cost price.

Therefore,
$(\frac{3}{5} \times A \times \frac{10}{100}) - (\frac{2}{5} \times A \times \frac{5}{100}) = 1500$

=> A = Rs 37,500.

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Filed Under: Profit and Loss
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30 20131

Q:

A student multiplied a number by 2/5 instead of 5/2. What is the percentage error in evaluation ?

A) 52%	B) 64%
C) 84%	D) 77%

Answer & Explanation Answer: C) 84%

Explanation:

Let the number be 'x'

Then, according to the given data,

$\frac{\frac{5}{2} x - \frac{2}{5} x}{\frac{5}{2} x} x 100$

= $\frac{21}{25} x 100$

= 84%

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Filed Under: Percentage
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14 20104

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
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115 20056

Q:

Square is to Triangle and Cube is to

A) Pyramid	B) Rectangle
C) Ice	D) Rhombus

Answer & Explanation Answer: A) Pyramid

Explanation:

Square is 2-dimensional 4 sided figure Whereas Cube is 3-dimensional figure which looks like Square.

Similarly, Triangle is 2-dimensional 3 sided figure Whereas Pyramid is 3-dimensional figure which looks like Triangle.

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Filed Under: Analogy
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14 20026

Q:

Yellow colour of papaya is due to

A) Caricaxanthin	B) Carotene
C) Lycopene	D) Papain

Answer & Explanation Answer: A) Caricaxanthin

Explanation:

Papayas are yellow due to the presence of carotene and xanthophyll pigments i.e, Caricaxanthin present in the chromoplasts of the fruit pulp.

The coloration of the different tissues in plants is due to the plastids which are present in the cells. Leucoplasts are white in colour, chloroplasts are green in colour and chromoplasts are of various colours. These plastids can take any colour at different time. Therefore, green fruits ( chloroplasts) turn colurful (chromoplasts) at maturity.

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Filed Under: General Awareness
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61 19965

Q:

Taps X and Y can fill a tank in 30 and 40 minutes respectively.Tap Z can empty the filled tank in 60 minutes.If all the three taps are kept open for one minute each,how much time will the taps take to fill the tank?

A) 48min	B) 72min
C) 24min	D) None of these

Answer & Explanation Answer: C) 24min

Explanation:

Given taps X and Y can fill the tank in 30 and 40 minutes respectively. Therefore,

part filled by tap X in 1 minute = 1/30

part filled by tap Y in 1 minute = 1/40

Tap Z can empty the tank in 60 minutes. Therefore,

part emptied by tap Z in 1 minute = 1/60

Net part filled by Pipes X,Y,Z together in 1 minute = [1/30 +1/40 - 1/60] = 5/120 = 1/24

i.e., the tank can be filled in 24 minutes.

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Filed Under: Pipes and Cistern
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25 19943

Q:

How many degrees will the minute hand move, in the same time in which the second hand move 4800 ?

A) 80 deg	B) 160 deg
C) 140 deg	D) 135 deg

Answer & Explanation Answer: A) 80 deg

Explanation:

As minute hand covers, 60 degrees

Minute hand covers 4800/60 = 80°

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Filed Under: Clocks
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34 19936

Q:

Some mangoes are yellow.
Some tixo are mangoes.

Conclusions:
(i) Some mangoes are green.
(ii) Tixo is a yellow.

A) Only conclusion (i) follows	B) Only conclusion (ii) follows
C) Either (i) or (ii) follows	D) Neither (i) nor (ii) follows

Answer & Explanation Answer: D) Neither (i) nor (ii) follows

Explanation:

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Filed Under: Verification of Truth of the statement
Exam Prep: CAT
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77 19920

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