Aptitude and Reasoning Questions

Q:

The altitude drawn to the base of an isosceles triangle is 8 cm and the perimeter is 32 cm. Find the area of the triangle.

A) 24 B) 48
C) 60 D) 72
 
Answer & Explanation Answer: B) 48

Explanation:

Let ABC be the isosceles triangle and AD be the altitude 

Let AB = AC = x. Then, BC = (32 - 2x). 

Since, in an isosceles triangle, the altitude bisects the base,
so BD = DC = (16 - x).
In triangle ADC,AC2=AD2+DC2 

x2=82+16-x2x=10 

BC = (32- 2x) = (32 - 20) cm = 12 cm. 

Hence, required area =  12*BC*AD=12*12*8=48cm2

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Filed Under: Area
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11 15223
Q:

1.Water boils at 100 degree C

2.Water freezes at 0 degree C

Conclusion: At low pressure ,water boils at lower temperature

The conclusion drawn is 

A) True B) false
C) either probably true or probably false D) Irrelavent
 
Answer & Explanation Answer: D) Irrelavent

Explanation:

It is irrelavent

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51 15217
Q:

Directions : For the Assertion (A) and Reason (R) below, choose the correct alternative 

Assertion (A)  : Shivaji developed the guerilla warfare. 

 Reason (R)    : Shivaji feared the Mughals. 

A) Both A and R are true and R is the correct explanation of A. B) Both A and R are true but R is NOT the correct explanation of A.
C) A is true but R is false. D) A is false but R is true.
 
Answer & Explanation Answer: C) A is true but R is false.

Explanation:

 Shivaji initiated the guerilla warfare to defeat the Mughuls but he did not fear them. 

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Filed Under: Assertion and Reason

6 15206
Q:

The sum of the squares of two numbers is 3341 and the diference of their squares is 891. The numbers are :

A) 35 and 46 B) 35 and 50
C) 40 and 55 D) 45 and 60
 
Answer & Explanation Answer: A) 35 and 46

Explanation:

Let the numbers be x and y. Then,

 

x^2+y^2=3341......(1)

 

x^2-y^2=891......(2)

 

Adding (i) and (ii), we get : 2x^2=4232 or x^2= 2116 or x =46

 

Subtracting (ii) from (i), we get : 2y^2= 2450 or y^2 = 1225 or y = 35

 

So, the numbers are 35 and 46

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Filed Under: Problems on Numbers

14 15198
Q:

Two cones have their heights in the ratio 1:3 and the radii of their bases in the ratio 3:1. Find the ratio of their volumes.

A) 3:1 B) 2:1
C) 4:1 D) 5:1
 
Answer & Explanation Answer: A) 3:1

Explanation:

v1v2=r12Hr22H

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Filed Under: Volume and Surface Area
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28 15195
Q:

Refer the below data table and answer the following question.

What is the average bonus in Rs. ?

 

A) 9359994 B) 668571
C) 280000 D) 344000
 
Answer & Explanation Answer: B) 668571

Explanation:
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Filed Under: Table Charts
Exam Prep: Bank Exams

0 15186
Q:

Find out the wrong term in the series 0, 2, 3, 5, 8, 10, 15, 18, 24, 26, 35

A) 18 B) 35
C) 24 D) 8
 
Answer & Explanation Answer: A) 18

Explanation:

The given sequence is a combination of two series:
i)0, 3, 8, 15, 24, 35
ii)2, 5, 10, 18, 26
The pattern in both i, ii is +3, +5, +7, . . . .
So, in ii) 18 is wrong and must be replaced by (10 + 7) = 17

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Filed Under: Number Series

63 15183
Q:

 ______ : trail :: grain : grail

A) path B) holy
C) train D) wheat
 
Answer & Explanation Answer: C) train

Explanation:

Train becomes trail when the "n" is replaced by an "l", and grain becomes grail when the "n" is replaced by an "l".

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Filed Under: Analogy
Exam Prep: AIEEE , Bank Exams , CAT , GRE , TOEFL
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