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Q:

If n is natural number , then 6n2+6n is always divisible by :

A) 6 only B) 6 and 12 both
C) 12 only D) by 18 only
 
Answer & Explanation Answer: B) 6 and 12 both

Explanation:

6n2+6n=6nn+1, which is always divisible by 6 and 12 both, since n(n+1) is always even.

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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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Q:

A boy multiplied 987 by a certain number and obtained 559981 as his answer. If in the answer both 98 are wrong and the other digits are correct , then the correct answer would be :

A) 553681 B) 555181
C) 555681 D) 556581
 
Answer & Explanation Answer: C) 555681

Explanation:

987 = 3 * 7 * 47.
So, the required number must be divisible by each one of 3, 7, 47
553681 => (Sum of digits = 28, not divisible by 3)
555181 => (Sum of digits = 25, not divisible by 3)
555681 is divisible by each one of 3, 7, 47.

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Q:

Find out the wrong term in the series 380, 188, 92, 48, 20, 8, 2

A) 20 B) 48
C) 92 D) 2
 
Answer & Explanation Answer: B) 48

Explanation:

The correct pattern is -192, -96, -48, -24, -12, -6
So, 48 is wrong and must be replaced by (92 - 48) = 44

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Q:

How many terms are in the G.P. 3, 6, 12, 24, ......., 384 ?

A) 8 B) 9
C) 10 D) 11
 
Answer & Explanation Answer: A) 8

Explanation:

Here a = 3 and r = 6/3 = 2. Let the number of terms be n.
Then, t = 384 => a * r^(n-1) = 384
=> 3 * 2^(n-1) = 384 => 2^(n-1) = 128 = 2^(7)

=> n-1 = 7 => n = 8.

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Q:

Find out the wrong term in the series 1, 5, 9, 15, 25, 37, 49

A) 15 B) 49
C) 25 D) 37
 
Answer & Explanation Answer: A) 15

Explanation:

The terms of the given series is 1*1, 2*2 + 1, 3*3, 4*4 +1, 5*5, 6*6 + 1, . . . . .
So, 15 is wrong and must be replaced by (4*4 + 1) = 17

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Q:

Find out the wrong term in the series 3, 4, 10, 32, 136, 685, 4116

A) 4116 B) 685
C) 136 D) 32
 
Answer & Explanation Answer: D) 32

Explanation:

The correct pattern is *1+1, *2+2, *3+3, *4+4, . . . . .
So,32 is wrong term and must be replaced by (10 * 3 + 3) = 33

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Q:

What smallest number should be added to 4456 so that the sum is completely divisible by 6 ?

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

Explanation:

6)4456(742
42
--------
25
24
-------
16
12
-----
4
------
Required number = (6-4) = 2.

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Filed Under: Numbers