Q:

Select the correct option:

Convert decimal 101 to binary .

A) 1101001 B) 1100111
C) 1101011 D) 1100101
 
Answer & Explanation Answer: D) 1100101

Explanation:
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0 15526
Q:

What will come in place of the question mark (?) in the following number series?

3240, 540, 108, 27, ?, 4.5

A) 7 B) 10
C) 9 D) 8
 
Answer & Explanation Answer: C) 9

Explanation:

Ans. 
540 = 3240/6
108 = 540/5
27 = 108/4
? = 27/3, i.e. ? = 9

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1 15051
Q:

If x is a whole number, then x²(x² - 1) is always divisible by ?

A) 4 B) 8
C) 12 D) None
 
Answer & Explanation Answer: C) 12

Explanation:

we can do this by trial and error method.

Putting x = 2,we get 2²(2² - 1) = 12.
checking with other integers, the above equation always gives a value which is a multiple of 12,
So, x²(x² - 1) is always divisible by 12.

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14 14243
Q:

At a dinner party every two guests used a bowl of rice between them, every three guests used a bowl of dal between them and every four used a bowl of meat between them. There were altogether 65 dishes. How many guests were present at the party ?

A) 60 B) 74
C) 82 D) 58
 
Answer & Explanation Answer: A) 60

Explanation:

Let,

no. of rice bowl = x
no. of dal bowl = y
no. of meat bowl = z

Then, x + y + z = 65 ....(1)

Also given that, 2x = 3y = 4z

substituting value of y & z in terms of x i.e. y = 2x/3 and z = x/2 in eq (1),
We get x = 30.

As 1 rice bowl is shared between 2 guests,
Therefore, there are 60 guests.

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23 13915
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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12 13733
Q:

n is a whole number which when divided by 4 gives 3 as remainder. What will be the remainder when 2*n is divided by 4 ?

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

Explanation:

Let n=4*q + 3. Then, 2*n = 8*q + 6 = 4(2*q + 1) + 2.
Thus when 2*n is divided by 4, the reminder is 2.

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22 13520
Q:

A piece of ribbon 4 yards long is used to make bows requiring 15 inches of ribbon for each. What is the maximum number of bows that can be made?

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

Explanation:

The maximum number of bows will be 4 yards (= 4 x 36 inches) divided by 15 inches.

This gives 9.6. But as a fraction of a bow is no use, we can only make 9 bows.

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22 13419
Q:

What will come in place of the question mark in the series below?

7, 4.5, 5.5, 12, 49, ?

A) 393 B) 396
C) 354 D) 367
 
Answer & Explanation Answer: A) 393

Explanation:

Ans. 
4.5 = 7 x 0.5 + 1
5.5 = 4.5 x 1 + 1
12 = 5.5 x 2 + 1
49 = 12 x 4 + 1
? = 49 x 8 + 1, i.e. ? = 393

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2 13391