Time Left - 20:00 mins

Quantitative Aptitude || Super Quiz 6 || 2019-20

Attempt now to get your rank among 316 students!

Question 1

Under the usual two-dimensional coordinate system,
the equation |x| + |y| = 1,
where x and y are real numbers, describes

Question 2

If m and n are any positive integers then

Question 3

The system of equations (3 – a) x + 9y = 0, x + (3 – a)y = 0, has a solution for x, y, with at least one of x and y nonzero, if and only if

Question 4

A bacteria breeding exercise, in connection with a medical experiment, begins with N bacteria. At any point of time, the number of bacteria increases at a rate proportional to the number present. After 3 hours from the beginning of the experiment, three are 2N bacteria. Then the number of bacteria after 15 hours from the beginning of the experiment is

Question 5

The infinite sum A0 + A1 + A2 + A3 + …, where for each n, An = (–1)n(2n + 3)/{(n + 1)(n + 2)} equals

Question 6

A bag contains 80 envelopes of which 30 are airmail and the rest are ordinary (not airmail). Out of the 80 envelopes in the bag, 48 are stamped and the rest are unstamped. There are 20 unstamped ordinary envelopes in the bag. If one envelope is chosen at random from the bag then the probability that this is an unstamped airmail envelope is

Question 7

A bag contains 5 tickets numbered 1,2,3,4 and 5. In a lottery, one ticket was drawn at random from the bag and then returned to the bag after noting its number. Then a second ticket was drawn at random and its number was noted. Let X and Y be the two numbers so observed. Then the probability that X+Y equals 7 is given by

Question 8

The number of ways in which four letters A, B, C and D can be arranged in a line such that C occurs between A and B and D does not occur between A and B is

Question 9

The maximum of 3x + 10y, subject to 3x + 5y ≤ 15, 5x + 2y ≤ 10, where x and y are nonnegative, is

Question 10

A three digit natural number abc is written side by side to form a six digit natural number N = abcabc. Then which of the following is necessarily true?

Question 11

Let b1, b2, b3, … … be positive quantities which are in arithmetical progression. Define Sr = b1 + b2 + …+ br (r = 1, 2, …). If Sm/Sn = (m/n)2, for every m, n, then bm/bn equals

Question 12

For positive x, the graphs of y = x2 and y = loge x interest
  • 316 attempts
  • 6 upvotes
  • 3 comments
Nov 17CAT & MBA