Q.1 The smallest prime number is
(A) 0
(B) 2
(C) 1
(D) -1
Q.2 $666\div 6\div 3=\: ?$
(A) 37
(B) 333
(C) 74
(D) 111
Q.3 $217\times 217+183\times 183=\: ?$
(A) 79698
(B) 80578
(C) 80698
(D) 81268
Q.4 Decompose the number 20 into two terms such that their product is the greatest.
(A) $x_{1}=16,\; x_{2}=4$
(B) $x_{1}=5,\; x_{2}=15$
(C) $x_{1}=10,\; x_{2}=10$
(D) None of These
Q.5 When $25^{25}$ is divided by 26, the remainder is -
(A) 1
(B) 2
(C) 24
(D) 25
Q.6 Find the last two digits of the number $65\times 29\times 37\times 63\times 71\times 87$
(A) 5
(B) 95
(C) 15
(D) 25
Q.7 A number when divided by 119, gives 19 as remainder. If the same number is divided by 17, what will be the remainder ?
(A) 2
(B) 7
(C) 9
(D) 10
Q.8 The product of two numbers is 120 and the sum of their squares is 289. The sum of the numbers is
(A) 20
(B) 23
(C) 169
(D) 150
Q.9 Find the remainder when $50^{51^{52}}$ is divided by 11
(A) 6
(B) 4
(C) 7
(D) 3
Q.10 How many 3 digit numbers are completely divisible by 6 ?
(A) 150
(B) 151
(C) 166
(D) 100
Ans. 1 (B), 2 (A), 3 (B), 4 (C), 5(D), 6 (B), 7 (A), 8 (B), 9 (A), 10 (A)
(A) 0
(B) 2
(C) 1
(D) -1
Q.2 $666\div 6\div 3=\: ?$
(A) 37
(B) 333
(C) 74
(D) 111
Q.3 $217\times 217+183\times 183=\: ?$
(A) 79698
(B) 80578
(C) 80698
(D) 81268
Q.4 Decompose the number 20 into two terms such that their product is the greatest.
(A) $x_{1}=16,\; x_{2}=4$
(B) $x_{1}=5,\; x_{2}=15$
(C) $x_{1}=10,\; x_{2}=10$
(D) None of These
Q.5 When $25^{25}$ is divided by 26, the remainder is -
(A) 1
(B) 2
(C) 24
(D) 25
Q.6 Find the last two digits of the number $65\times 29\times 37\times 63\times 71\times 87$
(A) 5
(B) 95
(C) 15
(D) 25
Q.7 A number when divided by 119, gives 19 as remainder. If the same number is divided by 17, what will be the remainder ?
(A) 2
(B) 7
(C) 9
(D) 10
Q.8 The product of two numbers is 120 and the sum of their squares is 289. The sum of the numbers is
(A) 20
(B) 23
(C) 169
(D) 150
Q.9 Find the remainder when $50^{51^{52}}$ is divided by 11
(A) 6
(B) 4
(C) 7
(D) 3
Q.10 How many 3 digit numbers are completely divisible by 6 ?
(A) 150
(B) 151
(C) 166
(D) 100
Ans. 1 (B), 2 (A), 3 (B), 4 (C), 5(D), 6 (B), 7 (A), 8 (B), 9 (A), 10 (A)
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