Math Aptitude Questions and Answers
A hemispherical bowl of internal diameter 54 cm contains a liquid. The liquid is to be filled in cylindrical bottles of radius 3 cm and height 9 cm, then find the number of bottles that can be filled?
(A) 324
(B) 228
(C) 81
(D) None of these
Correct Answer : D
What are the roots of the equation log10(x2-6x+45) =2?
(A) 9, - 5
(B) -9, 5
(C) 11, -5
(D) -11, 5
Correct Answer : C
If α and β are the roots of equation x2 - 2x + 4 - 0, then what is the equation whose roots are α3/β2 and β3/α2?
(A) $$x^2 - 4x + 8 = 0 $$
(B) $$x^2 - 32x + 4 = 0 $$
(C) $$x^2 - 2x + 4 = 0 $$
(D) $$x^2 - 16x + 4 = 0 $$
Correct Answer : C
If the difference between the roots of the equation Ax2+BX+C = 0 is 4, then which of the following is TRUE?
(A) $$B^2 - 16A^2 = 4AC + 4B^2 $$
(B) $$B^2 - 10A^2 = 4AC + 6A^2$$
(C) $$B^2 - 8A^2 = 4AC + 10A^2 $$
(D) $$B^2 - 16A^2 = 4A^C + 8B^2$$
Correct Answer : B
Find out the value of a when $$x^3+ax^2+ 2x+3 $$ is divisible by (x+1)?
(A) 2
(B) 0
(C) 3
(D) -1
Correct Answer : B
If α and β are the roots of the equation x2 + x - 1 = 0, then what is the equation whose roots are and α5 and β5 ?
(A) $$x^2 - 11x - 1 = 0 $$
(B) $$x^2 + 11x - 1 = 0$$
(C) $$x^2 + 7x - 1 = 0 $$
(D) $$x^2 - 7x- 1 = 0 $$
Correct Answer : B
The median of the number 14, 12, 12, 16, 13 and 18 is:
(A) 13
(B) 14
(C) 14.5
(D) 13.5
Correct Answer : D
The mean of four different observations is 17.5. When a new observation whose value 20 is added, what will be the new mean?
(A) 18
(B) 17.5
(C) 19
(D) 18.5
Correct Answer : A
A set of data is given. The mean of the set is 35 while the median is set as 60. Find the mode of the data.
(A) 25
(B) 30
(C) 20
(D) 110
Correct Answer : D
The value of P + Q in the following table is-
(A) 58
(B) 40
(C) 66
(D) 60
Correct Answer : C
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Rajesh Bhatia
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