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 Numbers Questions

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Q:

Product of digits of a 2-digit number is 72. If we add 9 to the number, the new number obtained is a number formed by interchange of the digits. Find the number.

A) 98 B) 89
C) 78 D) 87
 
Answer & Explanation Answer: B) 89

Explanation:
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Q:

Find  two  natural  numbers  whose  sum  is  85 andtheleast common multiple is 102.

A) 30 & 55 B) 17 & 68
C) 35& 55 D) 51 & 34
 
Answer & Explanation Answer: D) 51 & 34

Explanation:

Let a + b = 85→b = 85 –a

LCM(a,b) =102→ab = 102

k→a(85 –a) = 102k, where k is a natural number.

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Q:

What will be the quotient when 2143 is divided by 38?

A) 56 B) 55
C) 57 D) 54
 
Answer & Explanation Answer: A) 56

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Q:

10 is added to a certain number, the sum is multiplied by 7, the product is divided by 5 and 5 is subtracted from the quotient. The remainder left is half of 88. What is the number?

A) 21 B) 20
C) 25 D) 30
 
Answer & Explanation Answer: C) 25

Explanation:

Let the number be x

When 10 is added, number = x + 10

When 7 is multiplied, number = 7 X (x + 10)

According to question,

⇒[7 X (x+10) / 5] –5 = 44

⇒7x + 70 = 49 X 5

⇒x + 10 = 35,

⇒x = 25

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Q:

How many numbers are there from 300 to 700 which are divisible by 2, 3 and 7?

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

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Q:

Product of digits of a 2-digit number is 27. If we add 54 to the number, the new number obtained is a number formed by interchange of the digits. Find the number.

A) 39 B) 93
C) 63 D) 36
 
Answer & Explanation Answer: A) 39

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Q:

What is the quotient when 1359 is divided by 48?

A) 29 B) 31
C) 30 D) 28
 
Answer & Explanation Answer: D) 28

Explanation:
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Q:

Consider two-digit numbers which remain the same when the digits interchange their positions. What is the average of such two-digit numbers?

 

A) 33 B) 44
C) 55 D) 66
 
Answer & Explanation Answer: C) 55

Explanation:

All such 2 digit numbers are 11,22,33,44....... upto 99

Forms an AP

So sum = n/2(a+l)

= 9/2(11+99)

Average = sum/9 = ½(11+99) = 55

 

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