Aptitude and Reasoning Questions

Q:

A sum of Rs 15525 is divided among Sunil, Anil and Jamil such that if Rs 22, Rs 35 and Rs 48 be diminished from their shares respectively, their remaining sums shall be in the ratio 7:10:13. What would have been the ratio of their sums if Rs 16, Rs 77 and Rs 37 respectively were added to their original shares?

A) 9:13:17 B) 18:26:35
C) 36:52:67 D) None of these
 
Answer & Explanation Answer: C) 36:52:67

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Q:

Select the related letters from the given alternatives.

FDH : LJN :: RPT : ?

A) XYZ B) WUY
C) XVZ D) SUV
 
Answer & Explanation Answer: C) XVZ

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Q:

By selling cloth at Rs. 9 per metre , a shopkeeper loses 10% . Find the rate at which it should be sold so as to earn profit of 15%

A) Rs.11.20 B) Rs.11.30
C) Rs.11.40 D) Rs.11.50
 
Answer & Explanation Answer: D) Rs.11.50

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Q:

What is the value of sin225°+ sin265°?

A) 0 B) 1
C) 2 D) 4
 
Answer & Explanation Answer: B) 1

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Q:

In a cyclic quadrilateral ABCD ∠BCD=120° and passes through the centre of the circle. Then ∠ABD = ?

A) 30° B) 40°
C) 50° D) 60°
 
Answer & Explanation Answer: A) 30°

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Q:

In a certain code language, "HISTORY" is written as "XQNSRHI". How is "ETHICS" written in that code language?

A) DSGHBR B) RBHGSF
C) RBHDSG D) GSDRBH
 
Answer & Explanation Answer: B) RBHGSF

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Q:

In the following question, select the missing number from the given series.
19, 11, 13, 16, 15, 17, 13, 19, 21, ?

A) 10 B) 11
C) 12 D) 15
 
Answer & Explanation Answer: A) 10

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Q:

There are four consecutive even integers. Sum of the reciprocals of the first two number is (11/60). Find the reciprocal of third largest number of the series.

A) 1/12 B) 2/14
C) 1/14 D) 2/13
 
Answer & Explanation Answer: C) 1/14

Explanation:

Ans. C.
Let 4 consecutive even numbers are x, x+ 2, x+ 4, x+ 6
According to the question -
1/x + 1/x+2 = 11/60
x+2+x/ x(x+2) = 11/60
2(x+1)/x^2 + 2x = 11/60
120x + 120 = 11x 2 + 22x
11x 2 - 98x – 120 = 0
So ,
X = -24/22 , 10
X = -12/11 , 10
So, the numbers will be 10,12,14,16.
Hence,
Third largest number = 14
Reciprocal of third number = 1/14

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