Aptitude and Reasoning Questions

Q:

In math questions answers each questions are solved with explanation. The questions are based from different topics. Care has been taken to solve the questions in such a way that students can understand each and every step

1. Which is greater than 4?

(a) 5,

(b) -5,

(c) -1/2,

(d) -25.

                                               

A) 5 B) 20
C) 2 D) 3
 
Answer & Explanation Answer: A) 5

Explanation:

Solution:

5 greater than 4.

Answer: (a)

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1 305
Q:

Every integer is a rational number.

A) TRUE B) FALSE
Answer & Explanation Answer: A) TRUE

Explanation:

Yes, Every integer is a rational number.  A rational number is a number which can be expressed as a ratio of two integers numerator and denominator where (the denominator not being 0 ).


Hence, Every integer can be expressed in ratio of two integers. 

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2 299
Q:

The distance around a figure

A) Area B) Perimeter
C) Volume D) None of the above
 
Answer & Explanation Answer: B) Perimeter

Explanation:

The distance around a figure is called as Perimeter of that figure. For example, rectangle perimeter is 2(L+B) and where as perimeter of square is '4S'.

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1 296
Q:

64/12 in simplest form?

A) 19/6 B) 32/4
C) 16/3 D) None of the above
 
Answer & Explanation Answer: C) 16/3

Explanation:

64/12 = 16/3 in simplest form.

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4 292
Q:

HCF of 1, 2, 3?

A) 3 B) 2
C) 1 D) 0
 
Answer & Explanation Answer: C) 1

Explanation:

Given numbers are 1, 2 and 3

Factors of 1 = 1

Factors of 2 = 1, 2

Factors of 3 = 1, 2 and 3

Common factors = 1

 

Hence, the HCF of 1, 2 and 3 = 1.

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6 291
Q:

A natural number when increased by 12 equals 160 times its reciprocal. Find the number?

A) 20 B) 12
C) 8 D) 4
 
Answer & Explanation Answer: C) 8

Explanation:

Let the required number be 'p'.

From the given data,

p + 12 = 160 x 1/p

=> p + 12 = 160/p

=> p(p + 12) = 160

=> P^2 + 12p - 160 = 0

=> p^2 + 20p - 8p - 160 = 0

=> P(p + 20) - 8(p + 20) = 0

=> (p + 20)(p - 8) = 0

=> p = -20 or p = 8

As, given the number is a natural number, so it can't be negative.

Hence, the required number p = 8.

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2 281
Q:

10+10(9) =

A) 180 B) 110
C) 100 D) 19
 
Answer & Explanation Answer: C) 100

Explanation:

According to BODMAS Rule,

10 + 10(9)

= 10 + 90

= 100

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2 274
Q:

The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find two numbers.

A) 10 & 12 B) 10 & 18
C) 12 & -18 D) -12 & 18
 
Answer & Explanation Answer: D) -12 & 18

Explanation:

Given, difference of the squares of two numbers is 180.

k2 - l2 - 180

 

Also, square of the smaller number is 8 times the larger.

= l= 8k

 

Thus, k2 - 8a - 180 = 0

k2 – 18k + 10k - 180 = 0

→  k(k - 18) + 10(k – 18) = 0

= (k + 10)(k – 18) = 0

→  k = -10, 18

 

Thus, the other number is

324 - 180 = l2 

 

→ Numbers are 12, 18 or -12, 18.

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