Aptitude and Reasoning Questions

Q:

When the two hands are at right angles, they are ---------- minute spaces apart,

A) 13 B) 14
C) 15 D) 16
 
Answer & Explanation Answer: C) 15

Explanation:

 

 

 

 

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Q:

A student can divide her books into groups of 5, 9 and 13. what is the smallest possible number of the books ?

A) 487 B) 585
C) 635 D) 705
 
Answer & Explanation Answer: B) 585

Explanation:

The smallest possible number of books = L.C.M of 5, 9 and 13.
Therefore, L.C.M of 5,9 and 13 is = 5 x 9 x 13 = 585.

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Q:

Deepak said to Nitin, "That boy playing with the football is the younger of the two brothers of the daughter of my father's wife." How is the boy playing football related to Deepak ? 

A) Son B) Brother
C) Cousin D) Nephew
 
Answer & Explanation Answer: B) Brother

Explanation:

Father's wife — Mother;  Mother's daughter — Sister;  Sister's younger brother — My younger brother. 

So, the boy is Deepak's brother. 

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Q:

April 19th, 1986 falls on which day?

A) Saturday B) Wednesday
C) Thursday D) Friday
 
Answer & Explanation Answer: A) Saturday

Explanation:

19th April, 1986 = (1985 years + Period from 1.1.1986 to 19.4.1986)

Odd days in 1600 years = 0

Odd days in 300 years = 1

85 years has 21 leap years + 64 ordinary years.

Number of odd days in 85 years =( 21 x 2 + 64) = 1 odd day.

Jan. Feb. March April

(31 + 28 + 31 + 19) = 109 days

109 days = 15 weeks + 4 days= 4 odd day.

Total number of odd days = (1 + 0 + 1 + 4) = 6.

Given day is Saturday.

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Q:

A bag contains 3 red balls, 5 yellow balls and 7 pink balls. If one ball is drawn at random from the bag, what is the probability that it is either pink or red?

A) 2/3 B) 1/8
C) 3/8 D) 3/4
 
Answer & Explanation Answer: A) 2/3

Explanation:

Given number of balls = 3 + 5 + 7 = 15

One ball is drawn randomly = 15C1

probability that it is either pink or red = 7C1 + 3C115C1 = 7 + 315 = 1015 = 23

 

 

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Q:

Mr. stenley employed a certain number of typist for his project. 8 days later 20% of the typist left the job and it was found that it took as much time to complete the rest work from then as the entire work needed with all the employed typists. The average speed of a typist is 20 pages/hour. Minimum how many typist could be employed? 

A) 10 B) 5
C) 15 D) 4
 
Answer & Explanation Answer: B) 5

Explanation:

Since 20% i.e 1/5 typists left the job. So, there can be any value which is multiple of 5 i.e, whose 20% is always an integer. Hence, 5 is the least possible value.

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Filed Under: Time and Work

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Q:

The sides of a right-angled triangle are 12 cm, 16 cm, 20 cm respectively. A new right angle Δ is made by joining the midpoints of all the sides. This process continues for infinite then calculate the sum of the areas of all the triangles so made.

A) 312 sq.cm B) 128 sq.cm
C) 412 sq.cm D) 246 sq.cm
 
Answer & Explanation Answer: B) 128 sq.cm

Explanation:

Area =   SSC Quiz : Quantitative Aptitude | 06 - 01 - 18 = 96

 

Sum of Area =  SSC Quiz : Quantitative Aptitude | 06 - 01 - 18

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Q:

For xN, x>1,  and  p=logxx+1q=logx+1x+2 then which one of the following is correct?

A) p < q B) p = q
C) p > q D) can't be determined
 
Answer & Explanation Answer: C) p > q

Explanation:

kl>k+1l+1 for (k,l) > 0 and  k > l 

 

 

 

Let     k = x+1    and   l = x

 

 

 

Therefore, x+1x>(x+1)+1(x)+1

 

 

 

 (x + 1) > x

 

 

 

Therefore, log(x+1)log(x)>log(x+2)log(x+1)

 

 

 

logxx+1 >logx+1x+2

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Filed Under: Logarithms
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