Practice MCQ Questions and Answer on Number System
1.
The sum of three consecutive natural numbers is always divisible by . . . . . . . .?
- (A) 3
- (B) 9
- (C) 15
- (D) 21
2.
If 7-digit number 678p37q is divisible by 75 and p is not a composite, then the values of p and q are:
- (A) p = 5, q = 5
- (B) p = 3, q = 0
- (C) p = 3, q = 5
- (D) p = 2, q = 5
3.
Find the remainder when 73 ÃÂÃÂÃÂÃÂÃÂÃÂ 75 ÃÂÃÂÃÂÃÂÃÂÃÂ 78 ÃÂÃÂÃÂÃÂÃÂÃÂ 57 ÃÂÃÂÃÂÃÂÃÂÃÂ 197 ÃÂÃÂÃÂÃÂÃÂÃÂ 37 is divided by 34.
- (A) 32
- (B) 30
- (C) 15
- (D) 28
4.
The unit digit in the product of 3 ÃÂÃÂÃÂÃÂÃÂÃÂ 38 ÃÂÃÂÃÂÃÂÃÂÃÂ 537 ÃÂÃÂÃÂÃÂÃÂÃÂ 1256 is :
- (A) 4
- (B) 2
- (C) 6
- (D) 8
5.
Find the remainder when 65203 is divided by 7.
- (A) 4
- (B) 2
- (C) 1
- (D) 6
6.
When we reverse the digits of the number 13, the increases by 18. How many other two digit numbers increases by 18 when their digits are reversed?
- (A) 5
- (B) 6
- (C) 7
- (D) 8
7.
If x is a rational number and y is an irrational number, then-
- (A) Both x + y and xy are necessarily rational
- (B) Both x + y and xy are necessarily irrational
- (C) xy is necessarily irrational, but x + y can be either rational or irrational
- (D) x + y is necessarily irrational, but xy can be either rational or irrational
8.
If the numbers $$ \root 3 \of {9} , \root 4 \of 20 , \root 6 \of {25} $$ ÃÂÃÂ are arranged in ascending order, then the right arrangement is -
- (A) $$ \root 6 \of {25} , \root 4 \of {20} , \root 3 \of 9 $$
- (B) $$ \root 3 \of 9 , \root 4 \of {20} , \root 6 \of {25} $$
- (C) $$ \root 6 \of {25} , \root 3 \of 9 , \root 4 \of {20} $$
- (D) $$ \root 4 \of {20} , \root 3 \of 9 , \root 6 \of {25} $$
9.
The digit in unit's place of the product -
$${\left( {2464} \right)^{1793}}$$ ÃÂÃÂ $$ \times {\left( {615} \right)^{317}}$$ ÃÂÃÂ $$ \times {\left( {131} \right)^{491}}$$
- (A) 0
- (B) 2
- (C) 3
- (D) 5
10.
Sunny gets $$\frac{7}{9}$$ times as many marks in QA as in ENGLISH. If his total combined marks in both the papers is 90. His marks in QA is:
- (A) 50
- (B) 60
- (C) 70
- (D) 80