Aptitude and Reasoning Questions

Q:

Raju sold an article by giving a discount of 8% for Rs. 17,940 and earn profit of 19.6 %. If he did not give discount then how much profit percentage he gets ?

A) 27% B) 30%
C) 32% D) 25%
 
Answer & Explanation Answer: B) 30%

Explanation:
Let the M.R.P of an article be 100 %
 
Selling price of article =Rs. 17940
 
If he give a discount of 8 % then S.P = 92 %
92 % = 17490
100 % = 19500
 
Now C.P of the article is 
 
17490 x 100/119.6 = 15000
 
If he did not give the discount, then 
 
Required profit percentage = 
 
SSC Quiz : Quantitative Aptitude  | 03 - 08 - 17
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Q:

A certain sum of money is invested for one year at a certain rate of simple interest. If the rate of interest is 3% higher, then the invest earned will be 25% more than the interest earned earlier. What is the earlier rate of interest ?

A) 4% p.a. B) 6% p.a.
C) 8% p.a. D) 12% p.a.
 
Answer & Explanation Answer: D) 12% p.a.

Explanation:

If the interest earned is 25% more than the earlier interest then the rate of interest also should be 25% higher than the earlier rate.
Let the earlier rate of interest be x%.
Now it will be (x + 3)%
% increase = (x + 3) - x/x * 100 = 25
=> x = 12%

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Q:

There are 209 doctors and nurses in a hospital. If the ratio of the doctors to the nurses is 11 : 8, then how many nurses are there in the hospital?

A) 88 B) 96
C) 108 D) 121
 
Answer & Explanation Answer: A) 88

Explanation:

Given,
The ratio of the doctors to the nurses is 11 : 8
Number of nurses = 8/19 x 209 = 88.

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Q:

Tickets are numbered from 1 to 18 are mixed up together and then 9 tickets are drawn at random. Find the probability that the ticket has a number, which is a multiple of 2 or 3.

A) 1/3 B) 3/5
C) 2/3 D) 5/6
 
Answer & Explanation Answer: C) 2/3

Explanation:

S = { 1, 2, 3, 4, .....18 } 

=> n(S) = 18

 

E1 = {2, 4, 6, 8, 10, 12, 14, 16, 18}

=> n(E1) = 9

 

E2 = {3, 6, 9, 12, 15, 18 }

=> n(E2) = 6

 

 E3 =E1E2={6, 12, 18} 

=> n(E3) = 3

 

E=E1  E2 = E1+E2-E3 

=> n(E) = 9 + 6 - 3 =12

 where E = { 2, 3, 4, 6, 8, 9, 10, 12, 12, 14, 15, 16, 18 }

 

P(E)=n(E)n(S)=1218=23

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Q:

In how many different ways can five persons stand in a line for a group photograph?

A) 120 B) 240
C) 360 D) 720
 
Answer & Explanation Answer: A) 120

Explanation:

This is the number of permutations of five things taken all at a time.

 

Therefore, answer = 5P5 = 120 ways

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Q:

If CGKQW is one sequence following a logic, and another five-letter sequence following similar type of logic is BFJPV, then one more variation of this type can be ?

A) VPCFT B) DHLRX
C) CFKNT D) None
 
Answer & Explanation Answer: B) DHLRX

Explanation:

The logic behind the sequence given in the question is +4, +4, +6, +6
Therefore, the sequence which follows the same logic in the given options is DHLRX.

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Q:

There are fourteen juniors and twenty-three seniors in the Service Club. The club is to send four representatives to the State Conference. If the members of the club decide to send two juniors and two seniors, how many different groupings are possible ?

A) 23024 B) 24023
C) 23023 D) 25690
 
Answer & Explanation Answer: C) 23023

Explanation:

Choose 2 juniors and 2 seniors.

 

14C2*23C2 = 23023

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Q:

Assertion(A) : Indus valley people knew the art of navigation.
Reason(R) : Indus valley seals indicate prevalence of overseas trade.

A) R is true but A is fale B) A is true but R is false
C) Both A and R are false D) R correctly explains A
 
Answer & Explanation Answer: D) R correctly explains A

Explanation:

The seals found at Indus valley sites gave evidance of overseas trade, which was possible only with the knowledge of art of navigation.
Thus, both A and R are true & R correctly explains A.

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