Playing with Numbers Test

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Playing with Numbers Test - 5

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Weekly Quiz Competition

Question 1
1 / -0

Which of the following pairs are twin prime numbers?

A
41 and 43

B
47 and 61

C
71 and 79

D
83 and 97

Solution

A twin prime is a prime number, that is either 2 less or 2 more than another prime number.
(41, 43) are one of the twin prime numbers.

In other words, a twin prime is a prime that has a prime gap of two.
Question 2
1 / -0

Which of the following numbers has exactly 6 factors?

A
24

B
20

C
14

D
21

Solution

Factors of 20 = 1, 2, 4, 5, 10, 20
Factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24

Factors of 14 = 1, 2, 7, 14
Factors of 21 = 1, 3, 7, 21
Question 3
1 / -0

LCM of two numbers is equal to

A
the greatest number which can be divided by both the numbers

B
the smallest number which can be divided by both the numbers

C
one of the smallest numbers, which can be divided by both the numbers

D
one of the greatest numbers, which can be divided by both the numbers

Solution

LCM of two numbers is the smallest number, which can be divided by both the numbers.

For example, LCM of 15 and 20 is 60 and LCM of 5 and 7 is 35.
Question 4
1 / -0

A number always divisible by 120 is

A
divisible by both 5 and 24

B
divisible by both 3 and 66

C
divisible by both 2 and 44

D
None of these

Solution

120 is divisible by both 5 and 24.
5 × 24 = 120
Question 5
1 / -0

What is the reciprocal of the prime number just before 100?

A
1/97

B
1/99

C
1/89

D
1/95

Solution

The prime number before 100 is 97.

Reciprocal of 97 is 1/97.
Question 6
1 / -0

Numbers that are either 2 less or 2 more than another number are called

A
co-primes

B
twin primes

C
composite numbers

D
even numbers

Solution

A twin prime is a prime number that is either 2 less or 2 more than another prime number. For example, either member of the twin prime pair (41, 43). In other words, a twin prime is a prime that has a prime gap of two.
Question 7
1 / -0

If 5529x is divisible by 9, then what can be the least value of x?

A
0

B
1

C
2

D
6

Solution

If 5529x is divisible by 9, then 5 + 5 + 2 + 9 + x = 21 + x is divisible by 9.

Therefore, x = 6

So, 21 + 6 = 27, which is divisible by 9.

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Re-Attempt Weekly Quiz Competition

Playing with Numbers Test - 5

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Playing with Numbers Test - 5

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SHARING IS CARING

Question 1

41 and 43

47 and 61

71 and 79

83 and 97

Solution

Question 2

24

20

14

21

Solution

Question 3

the greatest number which can be divided by both the numbers

the smallest number which can be divided by both the numbers

one of the smallest numbers, which can be divided by both the numbers

one of the greatest numbers, which can be divided by both the numbers

Solution

Question 4

divisible by both 5 and 24

divisible by both 3 and 66

divisible by both 2 and 44

None of these

Solution

Question 5

1/97

1/99

1/89

1/95

Solution

Question 6

co-primes

twin primes

composite numbers

even numbers

Solution

Question 7

0

1

2

6

Solution

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