Mathematics Aptitude Test Questions and Answers
A number divided by 13 leaves a remainder 1 and if the quotient, thus obtained, is divided by 5, we get a remainder of 3. What will be the remainder if the number is divided by 65?
(A) 28
(B) 16
(C) 18
(D) 40
Correct Answer : D
Explanation :
Let the least number be x
y = 5 × 1 + 3 = 8
x = 13 × 8 + 1 = 105
On dividing 105 by 65, remainder = 40
If the differernce between the reciprocal of a positive proper fraction and fraction itself be$$17\over42$$, then the fraction is:
(A) $$9\over8$$
(B) $$8\over9$$
(C) $$5\over8$$
(D) $$7\over9$$
Correct Answer : B
If $$ 5^{5x+1}=1 $$, then x equals
(A) 0
(B) -1
(C) 1
(D) $$ -{4\over5}$$
Correct Answer : B
A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?
(A) 4 hrs
(B) 4 hrs15 min
(C) 3 hrs 15 min
(D) 3 hrs 45 min
Correct Answer : D
The HCF and LCM of two numbers are 12 and 336 respectively. If one of the number is 84, the other is
(A) 36
(B) 48
(C) 72
(D) 96
Correct Answer : B
If the income of Ram is $$ 12{1\over2}\%$$ more than that of Shyam, the income of Shyam is less than that of Ram by
(A) $$ 11{1\over9}\%$$
(B) $$ 12{1\over8}\%$$
(C) $$ 9{1\over11}\%$$
(D) $$ 11{1\over11}\%$$
Correct Answer : A
Explanation :
If 3 toys are sold at the cost price of 4 toys of the same kind, the profit will be:
(A) 25%
(B) $$ 33{1\over3}\%$$
(C) $$ 66{1\over3}\%$$
(D) 50%
Correct Answer : B
A house and a shop were sold for Rs. 1 lakh each, In this transaction, the house sale resulted into 20 % loss whereas the shop sale into 20 % profit. The entire transaction resulted in:
(A) no loss no gain
(B) gain of Rs. $$ {1\over24}$$
(C) loss of Rs.$$ {1\over12}$$ lakh
(D) loss of$$ {1\over18}$$ lakh
Correct Answer : C
The greatest value of $$ Sin^{4}θ+Cos^{4}θ $$ is:
(A) 2
(B) 3
(C) $${1\over2}$$
(D) 1
Correct Answer : D
In a regular polygon, the exterior and interior angles are in the ration 1:4.The number of sides of the polygon is
(A) 5
(B) 10
(C) 3
(D) 8
Correct Answer : B
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