Playing with Numbers Test

Result

Playing with Numbers Test - 1

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

The number(10ⁿ−1)is divisible by 11 for____.

A
n ∈ N

B
Odd values of n

C
Even values of n

D
n is the multiple of 11

Solution

(10ⁿ − 1) is divisible by 11 for even values of n as 10²− 1 = 99, 10⁴− 1 = 9999, 10⁶− 1 = 999999 etc., are divisible fay 11.
Question 2
1 / -0

The greatest value that must be given to x so that the number 7713 x 8 is divisible by 4 is______.

A
1

B
6

C
8

D
7

Solution

7713 x 8 is divisible by 4 if ifs last two digits is divisible by 4. So, we have x8 to be divisible by 4. Therefore, greatest value of x is 8.
Question 3
1 / -0

uppose that the division N ÷ 5 leaves a remainder of 4 and the division N ÷ 2 leaves a remainder of 1. What must be the ones digit of N?

A
7

B
3

C
9

D
4
Question 4
1 / -0

Given that the number 148101a095 is divisible by 11, where a is single digit number, what are the possible values of a?

A
4

B
1

C
7

D
9

Solution

If 148101 a 095 is divisible by 11, then (1 + 8 + 0 + a + 9) − (4 + 1 + 1 + 0 + 5) is either 0 or a multiple of 11 ⇒ (a + 18) −11 is either 0 or a multiple of 11 ⇒ a + 7 = 0 or a multiple of 11

∴ a + 7 = 11 ⇒ a = 4
Question 5
1 / -0

The largest natural number by which the product of three consecutive even natural numbers is always divisible, is ______.

A
16

B
24

C
48

D
96

Solution

The required number would be the product of three smallest even natural number i.e. 2 × 4 × 6 = 48.
Question 6
1 / -0

If in a number, difference between the sum of digits at its odd places and that of digits at the even places is given 0, then the number is divisible by _____.

A
7

B
9

C
5

D
11
Question 7
1 / -0

A 5-digit number xy235 is divisible by 3 such that x + y < 5, where x and y are single digits, then possible values of (x, y) are _____.

A
(1, 1) or (4, 0)

B
(1, 1) or (2, 0)

C
(1, 1) or (0, 2)

D
(2, 0) or (0, 2)

Solution

xy235 is divisible by 3 so sum of its digits is also divisible by 3,

∴ x + y + 2 + 3 + 5 = x + y + 10 is divisible by 3 and x + y < 5.

So possible values of (x, y) are (1, 1) or (2, 0),

User

Question Analysis

Correct -
Wrong -
Skipped -

My Perfomance

Score
-
out of -
Rank
-
out of -

Re-Attempt Weekly Quiz Competition

Playing with Numbers Test - 1

Result

Playing with Numbers Test - 1

Score

-

Rank

-

SHARING IS CARING

Question 1

n ∈ N

Odd values of n

Even values of n

n is the multiple of 11

Solution

Question 2

1

6

8

7

Solution

Question 3

7

3

9

4

Question 4

4

1

7

9

Solution

Question 5

16

24

48

96

Solution

Question 6

7

9

5

11

Question 7

(1, 1) or (4, 0)

(1, 1) or (2, 0)

(1, 1) or (0, 2)

(2, 0) or (0, 2)

Solution

User

Question Analysis

My Perfomance

Score

-

Rank

-

Results Announcement on: coming Monday

Stay Tuned: We’ll update you on your result via email or SMS.