Problems on Numbers Quiz Set 003 | Maths Aptitude Quiz Questions and Mock Test on Problems on Numbers Set 3 | mock tests for Bank PO, SSC Exams, SO Clerical Exam, GATE Exam, LIC AO, GIC AO, etc.

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Question 1

x should be replaced by which minimum number so that 4618521x98 is completely divisible by 3?

Soln.
Ans: a

If the above number has to be divisible by 3, the sum of the digits, i.e., 4 + 6 + 1 + 8 + 5 + 2 + 1 + x + 9 + 8, should be divisible by 3. So we can see that $x + 44$ should be divisible by 3. By inspection, x = 1.

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Question 2

12 times the middle of three consecutive even numbers is 152 more than 8 times the smallest of the three numbers. What is the middle number?

34.

35.

33.

36.

Soln.
Ans: a

This is the general solution. Let the numbers be 2n - 2, 2n and 2n + 2. We are given 12 × 2n = 152 + 8 × (2n - 2).
⇒ 12 × 2n = 152 + 8 × 2n - 8 × 2.
⇒ 2n × (12 - 8) = 152 - 8 × 2, so 2n = ${152 - 8 × 2}/{12 - 8} = 34$

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Question 3

Which term of this arithmetic series is zero: 110, 100, 90 ...?

12.

13.

11.

14.

Soln.
Ans: a

The first term is 110, common difference is d = -10, n-th term is 0. So $0 = 110 + (n - 1) × -10$ which gives $n = 1 + {110/10} = 12$.

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Question 4

The sum of three consecutive odd integer numbers is 909. The middle among the three is?

303.

304.

302.

305.

Soln.
Ans: a

Let the numbers be 2n - 3, 2n - 1 and 2n + 1. The sum is 3(2n - 1) = 3 x middle. We are given 3 x middle = 909, ⇒ middle = $909/3$, i.e., middle = 303.

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Question 5

What is 0.94949494...?

$94/99$.

$95/99$.

$94/100$.

$94/101$.

Soln.
Ans: a

0.94949494... is same as $0.\ov 94$. Let y = $0.\ov 94$. Multiply by 100, 100y = 94 + $0.\ov 94$ which is same as 94 + y. So 99y = 94, ⇒ y = $94/99$. So answer = ${94/99}$.

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