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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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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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Q:

Which Indian state has the maximum number of Lok Sabha constituencies?

A) Uttar Pradesh B) Madhya Pradesh
C) Andhra Pradesh D) Gujarat
 
Answer & Explanation Answer: A) Uttar Pradesh

Explanation:

Indian state that has the maximum number of Lok Sabha constituencies is Uttar Pradesh with 80 Lok sabha seats.

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Q:

The largest 4 digit number exactly divisible by 88 is

A) 8888 B) 9999
C) 9944 D) 9988
 
Answer & Explanation Answer: C) 9944

Explanation:

To find the largest 4 digit number exactly divisible by 88,

We should divide the largest possible 4 digit number by 88, and if we get any remainder than subtract it from that largest number.

The largest possible 4 digit number is 9999

Now,

 

88) 9999 (113
      88
  _______
      119
        88
  _______
        319
        264
  _______
          55
  _______

 

Therefore, the largest 4 digit number exactly divisible by 88 is given by

9999 - 55 = 9944.

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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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Q:

Which of the following number is divisible by 24?

A) 37804 B) 2015736
C) 36718 D) 53810
 
Answer & Explanation Answer: B) 2015736

Explanation:

Divisibility rule for 24 is the number should be divisible by 3 and 8. As we know that 24 = 3 x 8

Now, 

Divisibility rule for 3 :

If the sum of the digits of a number is divisible by 3, then the number is divisible by 3.

 

Divisibility rule for 8 :

The last three digits of a number should be divisible by 8.

Hence, check for the given options,

A) 37804 => 804 is not divible by 8.

C) 36718 => 718 is not divible by 8.

D) 53810 => 810 is not divible by 8.

B) 2015736 => 736 is divisble by 8 and sum 2 + 0 + 1 + 5 + 7 + 3 + 6 = 24 which is divisible by 3.

 

Hence, 2015736 is divisible by 24.

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Q:

The sum of the first 10 prime numbers is

A) even B) odd
C) 0 D) none
 
Answer & Explanation Answer: B) odd

Explanation:

To find the sum of first 10 prime numbers

First 10 prime numbers = 2, 3, 5, 7, 11, 13, 17, 19, 23, 29

 

Hence, The sum of the first 10 prime numbers is

(2+3+5+7+11+13+17+19+23+29) = 129 (ODD Number).

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Q:

The number of representatives for each state is determined by

Answer

The Article I, Section 2 of the Constitution, tells that the seats in the House of Representatives are allotted among the states by population, as controlled by the evaluation led at regular intervals i.e, for every ten years.


Each state is qualified for something like one Representative, anyway little its population.

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Subject: Indian Politics Exam Prep: AIEEE , Bank Exams , CAT
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