Playing with Numbers Test

Result

Playing with Numbers Test - 2

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Weekly Quiz Competition

Question 1
1 / -0

If N divided by 5 leaves a remainder of 3, then one's digit of N must be _____.

A
Either 3 or 6

B
Either 3 or 8

C
Either 8 or 1

D
Either 8 or 6

Solution

N leaves remainder 3 when divided by 5.

⇒ (N − 3) is divisible by 5.

⇒ One's digit of N − 3 is either 0 or 5.

⇒ One's digit of N is either 3 or 8.
Question 2
1 / -0

Given that the number 67y19 is divisible by 9, where y is a single digit, what is the least possible value of y?

A
3

B
9

C
7

D
4

Solution

67y19 is divisible by 9 so sum of its digits is also divisible by 9

6 + 7 + y + 1 + 9 = 23 + y

is divisible by 9. So, least possible value of y = 4.
Question 3
1 / -0

A 3-digit number 'cba' is divisible by 3 if____.

A
a + 2b + c is divisible by 3

B
2a + b + c is divisible by 3

C
a + b + 2c is divisible by 3

D
a + b + c is divisible by 3
Question 4
1 / -0

Which of the following statements is INCORRECT?

A
All even natural numbers which are divisible by 3 are also divisible by 6.

B
If a natural number is divisible by 21, then it is divisible by both 3 and 7.

C
If AB × 4 = 192, then A + B = 10

D
A number of the form 14 N+ 2 leaves the remainder 2 when divided by 7.