4
Q:

The product of two positive numbers is p. If each of the numbers is increased by 2, the new product is how much greater than twice the sum of the two original numbers ?

A) p times B) 2p times
C) (p + 4) times D) (2p + 3) times

Answer:   C) (p + 4) times



Explanation:

Let the two no's be a and b;
Given product of the no's is p = ab;
If the each nos is increased by 2 then the new product will be
(a+2)(b+2) = ab + 2a + 2b + 4
= ab + 2(a+b) + 4
= p + 2(a+b) + 4
Hence the new product is (p+4) times greater than twice the sum of the two original numbers.

Q:

Which one of the following is not a prime number?

A) 91 B) 71
C) 41 D) 31
 
Answer & Explanation Answer: A) 91

Explanation:

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

 

It's answer will be 91.

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.

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4 260
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
 
Answer & Explanation Answer: A) 29

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

x + 32 - x - 32 = 396 x2 + 9 + 6x - x2 + 6x - 9 = 396 12x = 396 x = 33

 

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

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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
 
Answer & Explanation Answer: B) 12, 18, 36,

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.

multiples_4_61517468047.jpg image

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

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7 309
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
 
Answer & Explanation Answer: C) 8, 4

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

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13 458
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
 
Answer & Explanation Answer: B) 23

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

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7 562
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
 
Answer & Explanation Answer: B) 2

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.

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4 926
Q:

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

A) 18 B) 20
C) 19 D) 17
 
Answer & Explanation Answer: A) 18

Explanation:

(300 – 101)/11 = 199/11 = 18 1/11

18 Numbers.

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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
 
Answer & Explanation Answer: 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.

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6 976