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Q:

# Find the lowest 4-digit number which when divided by 3, 4 or 5 leaves a remainder of 2 in each case ?

 A) 1020 B) 1040 C) 1060 D) 1022

Explanation:

Lowest 4-digit number is 1000.
LCM of 3, 4 and 5 is 60.
Dividing 1000 by 60, we get the remainder 40. Thus, the lowest 4-digit number that exactly divisible by 3, 4 and 5 is 1000 + (60 - 40) = 1020.
Now, add the remainder 2 that's required. Thus, the answer is 1022.

Q:

Which one of the following is not a prime number?

 A) 91 B) 71 C) 41 D) 31

Explanation:

Prime Numbers :: Numbers which are divisible by only 1 and itself are Prime Numbers.

Because 91 can be divisible by 7,13,91,1.

It is quite clear that prime number should be divisible only by itself and by 1.

4 257
Q:

There are 5 consecutive odd numbers. If the difference between square of the average of first two odd number and the of the average last two odd numbers is 396, what is the smallest odd number?

 A) 29 B) 27 C) 31 D) 33

Explanation:

Let the five consecutive odd numbers be x-4, x-2, x, x+2, x+4

According to the question,

Difference between square of the average of first two odd number and the of the average last

two odd numbers is 396

i.e, x+3 and x-3

Hence, the smallest odd number is 33 - 4 = 29.

4 259
Q:

What are the Multiples of 6 and the Common Multiples of 4 and 6?

 A) 12, 34, 42 B) 12, 18, 36, C) 6, 4, 14 D) 4, 8, 16

Explanation:

The Multiples of 6 are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60.

The Multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60.

The Common Multiples of 4 & 6 upto 60 numbers are given as 12, 24, 36, 48, 60.

7 306
Q:

12 students of class IX took part in GK quiz. If the number of boys is 4 more than the number of girls. Find the number of boys and girls took part in the quiz ?

 A) 7, 5 B) 9, 3 C) 8, 4 D) 6, 6

Explanation:

Let the number of girls = x

=> x + x + 4 = 12

=> 2x = 8

=> x = 4

=> Number of girls = 4

=> Number of boys = 4 + 4 = 8

13 454
Q:

A number is 2 more than thrice the second number and 4 times the smaller number is 5 more than the greater number. What is greater number  ?

 A) 7 B) 23 C) 9 D) 21

Explanation:

Let the greater and smaller number be p and q respectively.

4q = p + 5 ------ (I)

p = 3q+2 ------- (II)

From equation (I) and (II)

q = 7

p = 23

7 558
Q:

What will be added to the unit digits of the number 86236 so that number will be divisible by 9  ?

 A) 1 B) 2 C) 3 D) 0

Explanation:

A number is divisible by 9 only if the sum of the digits of the number is divisible by 9.

Here 86236 = 8 + 6 + 2 + 3 + 6 = 25

We must add 2 to 25 to become 27 which is divisible by 9.

4 924
Q:

How many numbers up to 101 and 300 are divisible by 11  ?

 A) 18 B) 20 C) 19 D) 17

Explanation:

(300 – 101)/11 = 199/11 = 18 1/11

18 Numbers.

9 759
Q:

The sum of the digits of a two-digit number is 12. The difference of the digits is 6. Find the number ?

 A) 57 B) 75 C) 48 D) 39

Explanation:

Let the two-digit number be 10a + b
a + b = 12 --- (1)
If a>b, a - b = 6
If b>a, b - a = 6
If a - b = 6, adding it to equation (1), we get
2a = 18 => a =9
so b = 12 - a = 3
Number would be 93.
if b - a = 6, adding it to the equation (1), we get
2b = 18 => b = 9
a = 12 - b = 3.
Number would be 39.
There fore, Number would be 39 or 93.