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If x = (3 ^{- 2} - 3 ^{- 3}), y = (3 ^{- 3} - 3 ^{- 4}) and z = (3 ^{- 4} - 3 ^{- 2}) then find the value of 81xyz.

A
B
C
D

The given graph shows the number of people who prefer playing different sports in the given six years. Study the given graph carefully and answer the following question.

What is the ratio of the number of people who prefer playing Cricket in 2001 to the number of people who prefer playing Tennis in the year 2003?

A14 : 17
B16 : 13
C15 : 11
D13 : 15

Read the following information and answer the question given below it.
(i) L, M, N, O, P, Q, R and S are sitting around a circle facing the centre.
(ii) N, who is third to the left of P, is not a neighbour of R and M.
(iii) S is the neighbour of ‘O’ and ‘R’ and is third to the right of M.
(iv) L is not the neighbour of O, who is second to the left of N.

What is the position of Q?

A Immediate right of R
B Immediate left of N
C Third to the right of M
D Second to the left of S

Which of the following statements is incorrect?

AAn infinite number of lines can be drawn passing through one given point.
BPoints which are not on the same line are called non-collinear points.
CThe closed curves that do not cross themselves are called simple closed curves.
DNone of these

A2457
B2043
C2586
D2040

Put the correct signs in the boxes below in the same order as in the options so that the given statement becomes true.


A-, +, +
B+, +, -
C-, +, -
D+, -, +

What fraction of the letters of the word LIBRARY is vowel?

A⁵⁄₇
B⁷⁄₂
C²⁄₇
D⁷⁄₅

Seven people - A, B, C, D, E, F and G - are standing in a single line, facing a booth. E is somewhere ahead of F. There is exactly one person standing between C and G. D is immediately behind A. F is behind both B and D. If D and C are fourth and fifth in line respectively, then which of the following must be true?

A F is seventh
B A is first
C F is sixth
D B is first