CAT Questions

Q:

Find the LCM of 35, 311, 3-11 and 314

 

A) 35 B) 311
C) 3-11 D) 314
 
Answer & Explanation Answer: D) 314

Explanation:
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Filed Under: HCF and LCM
Exam Prep: Bank Exams , CAT

7 13238
Q:

5% people of a village in India died by dengue, 15% of the remainder left the village on account of fear. If now the population is reduced to 3553, how much was it in the beginning ?

A) 4400 B) 3100
C) 2800 D) 5600
 
Answer & Explanation Answer: A) 4400

Explanation:

Let 'P' be the original population at the beginning

P x (95/100) x (85/100) = 3553

P = 4400.

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

9 13179
Q:

An automobile financier claims to be lending money at S.I., but he includes the interest every six months for calculating the principal. If he is charging an interest of 8%, the effective rate of interest becomes ?

A) 10.25 % B) 8.16 %
C) 9.63 % D) 0.16 %
 
Answer & Explanation Answer: B) 8.16 %

Explanation:

Let the sum be Rs. 100. Then,
S.I. for first 6 months = (100 x 8 x 1) / (100 x 2) = Rs. 4
S.I. for last 6 months = (104 x 8 x 1) / (100 x 2) = Rs. 4.16
So, amount at the end of 1 year = (100 + 4 + 4.16) = Rs. 108.16
Effective rate = (108.16 - 100) = 8.16%.

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Filed Under: Simple Interest
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

4 13178
Q:

A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current  ?

A) 1 kmph B) 3.2 kmph
C) 1.5 kmph D) 2 kmph
 
Answer & Explanation Answer: C) 1.5 kmph

Explanation:

72 --- 9
? ---- 1

=> Down Stream = 8

45 ---- 9 
? ---- 1

=> Up Stream = 5

Speed od current S = ?

S = (8 - 5)/2 = 1.5 kmph.

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Filed Under: Boats and Streams
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

16 13177
Q:

The average age of a class is 19 years. While the average age of girls is 18 and that of boys is 21. If the number of girls in the class is 16, Find the number of Boys in the class?

A) 12 B) 10
C) 8 D) 6
 
Answer & Explanation Answer: C) 8

Explanation:

Let the number of boys = x

From the given data,

=> [21x + 16(18)]/(x+16) = 19

=> 21x - 19x = 19(16) - 16(18)

=> 2x = 16

=> x = 8

Therefore, the number of boys in the class = 8.

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Filed Under: Average
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

23 13165
Q:

O_er_t_o_

Complete the missing letters of the given word.

A) Ordination B) Oterration
C) Ovvulation D) Operation
 
Answer & Explanation Answer: D) Operation

Explanation:
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16 13145
Q:

When a women sells 20 articles for Rs. 160, there is 40% loss. How many articles should she sell for Rs. 240 in order to earn 20% profit ?

A) 16 B) 15
C) 17 D) 14
 
Answer & Explanation Answer: B) 15

Explanation:

Given when she sells at Rs. 160 for 20 articles, she get 40% loss.

 

Then, to get 20% profit selling at Rs. 240 for let 'P' articles

 

=> 1602060=240p120

 

=> 120 x 160 x P = 20 x 70 x 240

 

=> P =  15 articles.

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Filed Under: Profit and Loss
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

26 13128
Q:

A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.25000, find their shares?

A) 10000 and 15000 B) 15000 and 10000
C) 5000 and 20000 D) 20000 and 5000
 
Answer & Explanation Answer: A) 10000 and 15000

Explanation:

As both A and B invest the same amounts, the ratio of their profits at the end of the year is equal to the ratio of the time periods for which they have invested.

 

Thus, the required ratio of their profits = A : B = 8 : 12 = 2 : 3.

 

Hence, share of A in the total profit = 2 x 25000/5 = Rs.10000

 

Similarly, share of B in the total profit = 3 x 25000/5 = Rs.15000

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Filed Under: Partnership
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

10 13096