Aptitude and Reasoning Questions

Q:

What is the value of (2 - tan60°) ?

 

A) -1/√3 B) (√3-4)/2√3  
C) -1/2   D) 2-√3
 
Answer & Explanation Answer: D) 2-√3

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Filed Under: Simplification
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Q:

Which of the following statement(s) is/are TRUE?

I. √5 + √5 > √7 + √3
II. √6 + √7 > √8 + √5
III. √3 + √9 > √6 + √6

A) Only I B) Only I and II
C) Only II and III D) Only I and III
 
Answer & Explanation Answer: B) Only I and II

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Q:

Select the correct option to complete the following letter series.

 

EHI, FJK, GLM, HNO, ___

 

A) IRS B) IQP
C) IPQ D) IMN
 
Answer & Explanation Answer: C) IPQ

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Filed Under: Alphabet Test
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9 46823
Q:

Select the related word/letters/numbers from the given alternatives:

BFJ : NRV :: DHL :?

A) PTA B) PTX
C) KQS D) MQV
 
Answer & Explanation Answer: B) PTX

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Filed Under: Analogy
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Q:

The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?

A) 20% B) 30%
C) 40% D) 50%
 
Answer & Explanation Answer: D) 50%

Explanation:

Let original length = x and original breadth = y.

Original area = xy. 

New length = x/2 and New breadth=3y 

New area = 32xy 

Therefore,  Increase in area = New area-original area = 32xy-xy=12xy 

 

Therefore,  Increase % = increase in area original area*100=12xyxy*100=50 %

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Filed Under: Area
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47 46719
Q:

Solve the following

 

36- [18 - {14 - (15 - 4 / 2 x 2)}]

 

 

A) 23 B) 21
C) 20 D) 22
 
Answer & Explanation Answer: B) 21

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Q:

A can contains a mixture of two liquids A and B in the ratio  7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the can initially?

A) 10 B) 20
C) 21 D) 25
 
Answer & Explanation Answer: C) 21

Explanation:

Suppose the can initially contains 7x and 5x litres of mixtures A and B respectively

 

Quantity of A in mixture left =7x-712×9=7x-214 litres.

 

Quantity of B in mixture left =  5x-512×9=5x-154litres.

 

7x-2145x-154+9=79

 

28x-2120x+21=79

 

x=3

 So, the can contained 21 litres of A.

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Q:

A parallelogram has sides 30m and 14m and one of its diagonals is 40m long. Then its area is

A) 136 B) 236
C) 336 D) 436
 
Answer & Explanation Answer: C) 336

Explanation:

let ABCD be the given parallelogram 

area of parallelogram ABCD = 2 x (area of triangle ABC) 

now a = 30m, b = 14m and c = 40m

 s=1/2 x (30+14+40) = 42 

 

Area of triangle ABC = ss-as-bs-c  

 

= 4212282= 168sq m 

area of parallelogram ABCD = 2 x 168 = 336 sq m

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Filed Under: Area
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Job Role: Bank PO

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