Maths Series Questions with Answers
If $${a+b=10}$$ and $$ \sqrt{a\over b}-13=-\sqrt{b\over a}-11$$, then what is the value of $${3ab+4a^2+5b^2}$$?
(A) 300
(B) 600
(C) 750
(D) 450
Correct Answer : A
A motorboat covers a certain distance downstream in a river in 3 hours. It covers the same distance upstream in 3 and half an hour. If the speed of the water is 1.5 km / h, then the speed of the boat in still water is:
(A) 19.5 km/h
(B) 19 km/h
(C) 17 km/h
(D) 17.5 km/h
Correct Answer : A
A boat moves downstream at the rate of 1 km in $$7{1\over 2}$$ minutes and upstream at the rate of 5 km an hour. What is the speed of the boat in the still water?
(A) 4 km/hour
(B) 3 km/hour
(C) 8 km/hour
(D) $$6{1\over 2}$$ km/hour
Correct Answer : D
The LCM of two positive integers is twice the larger number. The difference of the smaller number and the GCD of the two numbers is 4. The smaller number is:
(A) 8
(B) 10
(C) 12
(D) 6
Correct Answer : A
What is the LCM (least common multiple) of 57 and 93?
(A) 1576
(B) 1767
(C) 1567
(D) 1919
Correct Answer : B