39000+ Important MCQs for BANK PO

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Learn BANK PO MCQs with answers [Page 18 of Department 62]

R

Ravi Chauhan • 11.26K Points
Tutor II Math

171) The sum of two numbers is equal to the thrice of their difference. What will be the ratio between them?

  • (A) 1 : 3
  • (B) 3 : 1
  • (C) 1 : 2
  • (D) 2 : 1
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Correct Answer - Option (D)

Explanation :

Let the numbers be 'a' and 'b'. According to the question -
(a + b) = 3(a - b)
(a + b) = 3a - 3b
2a = 4b
a = 2b
So, a/b = 2 : 1

R

Ravi Chauhan • 11.26K Points
Tutor II Math

173) The sum of four consecutive even numbers is 748, then which is the smallest number among them?

  • (A) 184
  • (B) 186
  • (C) 174
  • (D) None of the above
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Correct Answer - Option (A)

Explanation :

Let a be the smallest even number

So, according to the question -

(a) + (a + 2) + (a + 4) + (a + 6) = 748

4(a) + 12 = 748

4a = 736

Or, a = 184

So, the smallest number be 184

R

Ravi Chauhan • 11.26K Points
Tutor II Math

174) If (64)² - (36)²= 20 * x, then what is the value of x?

  • (A) 120
  • (B) 140
  • (C) 112
  • (D) None of the above
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Correct Answer - Option (B)

Explanation :

Here, we can apply the formula of
a^2 - b^2 = (a + b) (a - b)

So, after applying the formula, we will get

(64 + 36) (64 - 36) = 20 * x

100 * 28 = 20 * x

x = 100 * 28/ 20 = 140

R

Ravi Chauhan • 11.26K Points
Tutor II Math

175) What is the value of (a - b), if (a^2 - b^2)/(a + b) = 25?

  • (A) 36
  • (B) 22
  • (C) 45
  • (D) 25
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Correct Answer - Option (D)

Explanation :

According to the identity,

a^2 - b^2 = (a + b) (a - b)

It is given that (a^2 - b^2)/(a + b) = 25

So, it can be written as (a + b) (a - b)/(a + b) = 25

Hence, (a - b) = 25

R

Ravi Chauhan • 11.26K Points
Tutor II Math

176) What will be the result of 1397 x 1397?

  • (A) 1951609
  • (B) 1951608
  • (C) 1951699
  • (D) None of the above
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Correct Answer - Option (A)

Explanation :

Given 1397 x 1397

We can also write it as (1397)^2

Or, (1400 - 3)^2

On expanding we get,

= (1400)^2 (3)^2 - (2 x 1400 x 3)

= 1960000 9 - 8400

= 1960009 - 8400

= 1951609

R

Ravi Chauhan • 11.26K Points
Tutor II Math

177) Which of the following is the unit digit in (1570)^2 + (1571)^2 + (1572)^2 + (1573)^2?

  • (A) 2
  • (B) 4
  • (C) 6
  • (D) 7
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Correct Answer - Option (B)

Explanation :

Pick up the unit digit of each number and multiply them;

0^2 in (1570)^2 = 0

1^2 in (1571)^2 = 1

2^2 in (1572)^2 = 4

3^2 in (1573)^2 = 9

On adding the unit digits, we will get,

0 1 4 9 = 14 (unit digit = 4)

So, on adding (1570)^2 (1571)^2 (1572)^2 (1573)^2, the unit digit will be 4.

You are learning MCQ Questions of BANK PO Department : 62 | Page : 18

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