Maths questions series #4
A boat takes half time in moving a certain distance downstream than upstream. what is the ratio between the rate in still water and the rate of current?
(A) 2 : 1
(B) 3 : 1
(C) 1 : 2
(D) 1 : 3
Correct Answer : B
A boat running downstreams covers a distance of 30 kms in 2 hours. While coming back the boat takes 6 hours to cover the same distance. If the speed of the current is half that of the boat, what is the speed of that boat in kmph?
(A) 15
(B) 5
(C) 10
(D) Cannot be determined
(E) None of these
Correct Answer : C
A fraction becomes $${1\over 6}$$ when 4 is subtracted from its numerator and 1 is added to its denominator. If 2 and 1 are respectively added to its numerator and the denominator, it becomes $${1\over 3}$$. Then, the LCM of the numerator and denominator of the fraction, must be
(A) 5
(B) 70
(C) 14
(D) 350
Correct Answer : B
The smallest number, which when increased by 5 is divisible by each of 24, 32, 36 and 54, is
(A) 571
(B) 427
(C) 869
(D) 859
Correct Answer : D
A square and an equilateral triangle are of the same perimeter. If the diagonal of the square is $$ {12\sqrt{2}}$$ cm long, then the area of the triangle is.
(A) $$ {32\sqrt{3}}$$
(B) $$ {64\sqrt{3}}$$
(C) $$ {64\sqrt{2}}$$
(D) $$ {48\sqrt{3}}$$
Correct Answer : B
A cuboidal block of 6 cm × 9 cm ×12 cm is cut into exact number of equal cubes. The least possible number of cubes will be:
(A) 6
(B) 9
(C) 24
(D) 30
Correct Answer : C
If $$ 5^{5x+1}=1 $$, then x equals
(A) 0
(B) -1
(C) 1
(D) $$ -{4\over5}$$
Correct Answer : B
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