Aptitude and Reasoning Questions

Q:

Derivative of sinx by first principle?

A) -sinx B) -cosx
C) cosx D) sinx
 
Answer & Explanation Answer: C) cosx

Explanation:

Screenshot_(1)1519127168.png image

 

Thus, the derivative of sinx by first principle is cosx.

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Q:

A person lends Rs. 1540 for five years and Rs. 1800 for four years. If he gets Rs. 1788 as interest on both amounts, what is the rate of interest ?

A) 14.5% B) 11%
C) 12% D) 10.5%
 
Answer & Explanation Answer: C) 12%

Explanation:

Let the interest rate be r%

We know that,

S.I = PTR/100

=> (1540 x 5 x r)/100  +  (1800 x 4 x r)/100 = 1788

=> r = 178800/14900 = 12%

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20 7954
Q:

Kalyan purchased a Maruti van for Rs. 1,96,000 and the rate of depreciation is 14(2/7) % per annum. Find the value of the van after two years ?

A) Rs. 1,24,000 B) Rs. 1,44,000
C) Rs. 1,32,000 D) Rs. 1,62,000
 
Answer & Explanation Answer: B) Rs. 1,44,000

Explanation:

Value of Maruti Van, V1 = Rs. 1,96,000
Rate of depreciation, r = 14(2/7)% = 100/7%; Time, t = 2 years
Let V2 is the value after depreciation.

V2 = V11 - r100t
V2 = 196001 - 10071002

V2 = 196000(6/7)(6/7)

V2 = (196000x36)/49 = Rs. 1,44,000.

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Filed Under: Percentage
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4 7948
Q:

Find the perimeter of the rectangle or square with the given dimensions s = 3 cm

A) 12 B) 13
C) 14 D) 15
 
Answer & Explanation Answer: A) 12

Explanation:

P=4s

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Filed Under: Area
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0 7946
Q:

Find the perimeter and area of a square that has a side of length 14 feet.

A) 176 B) 186
C) 196 D) 206
 
Answer & Explanation Answer: C) 196

Explanation:

Perimeter of a square p=4s ,where s=length of its side 

=> p=4(14)=56 feets 

 

Area  of a square A = s x s

=> A=196


The perimeter is 56 feet, and the area is 196 square feet.

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Filed Under: Area
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Q:

Archipelago : Islands :: Massif : ?

A) Caves B) Hillocks
C) Mountains D) Forests
 
Answer & Explanation Answer: C) Mountains

Explanation:

First is a group of the second.

Hence, Archipelago : Islands :: Massif : Mountains.

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Filed Under: Analogy
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3 7944
Q:

A family has a man, his wife, their four sons and their wives and one daughter. The family of every son also has 3 sons and one daughter. Find out the total number of female members in the family ?

A) 12 B) 8
C) 9 D) 10
 
Answer & Explanation Answer: D) 10

Explanation:

1) Man's wife. = 1
2) Man's 4 son's wives. = 4
3) Man's daughter. = 1
4) 4 son's has each one daughter. = 4
Therefore, total number of female members in the family = 1+4+1+4 = 10.

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Filed Under: Logic
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11 7933
Q:

In a certain code language "nce po tam" means "boys are studying", "me tam sam" means "grapes are sour" and "tam po me" means "boys are grapes". which of the following represents "sour" in that code language?

A) tam B) me
C) sam D) cannot be determined
 
Answer & Explanation Answer: C) sam

Explanation:

nec po tam => boys are studying

 

me tam sam => grapes are sour

 

tam po me => boys are grapes 

 

It is clear that "sam" represents "sour" in that code language.

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Filed Under: Coding and Decoding
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