Time Left - 20:00 mins

Quantitative Aptitude || Super Quiz 14 || 2018-19 (App update required to attempt this test)

Attempt now to get your rank among 336 students!

Question 1

Let p be any root, real or complex, of the equation xn + xn–1 + xn–2 + ….+ 1 = 0. Then (p2n+2 + 3)(p3n+3 – 4) equals

Question 2

A biologist, conducting research on butterflies, collects butterflies in a region. There are two kinds of butterflies in the region, colourful and boring (that is, not-so-colourful), their respective percentages being 25 and 75. The butterflies are collected one by one and at random. The population of butterflies in the region is large so that the successive trials may be assumed to be independent.

The probability that the first colourful butterfly is obtained at the fifth trial is

Question 3

The coefficient of x18 in the expansion of (x + x2 + …+ x6)4 is

Question 4

The minimum distance between the geometric figure represented by x2 + y2 – 6x – 8y + 24 = 0 and the point with coordinates (6, 4) is

Question 5

A man invites four of his many friends to dinner every night for consecutive 365 days without ever repeating the same set of four friends. The minimum number of friends he must be having is

Question 6

In a triangle, the sum of the lengths of two sides is √3 times he length of the third side. Which of the following is a possible combination of the angles of the triangle?

Question 7

If the value of log102.5 is n, then the value of log102 is

Question 8

Suppose, x2 – 4 is a factor of 2x3 + ax2 + bx + 12, where a and b are constants. Then the values of a and b are

Question 9

The relation between two variables x and y, whose geometric means are g1 and g2 respectively, is y = 2x2. Then the relation between g1 and g2 is:

Question 10

If P(A|B) = 1/3, P(B) = 1/4 and P(A) = 1/2, the probability that exactly one of these events A and B occurs is:

Question 11

If the co-efficients of rth, (r + 1)th and (r + 2)th terms in the expansion of (1 + x)n are in an arithmetic progression, then

Question 12

The infinite series 21/4.41/8.81/16.161/32 … is equal to
  • 336 attempts
  • 9 upvotes
  • 1 comment
Oct 11CAT & MBA