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Important Maths Questions PDF | Uttarakhand LT 2020 exam

Important Maths Questions PDF

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  1. The order of element 4 of the group ({0, 1, 2, 3, 4}, +5) is

(a)     2                          (b)     3                          (c)     4          (d)                        5

  1. If a, b are the roots of the equation x2 – x + 1 = 0, the equation whose roots are a2, b2 is : (a) x2  + x – 1 = 0  (b)     x2  + x + 1 = 0       (c)     x2  – x – 1 = 0       (d)     x4 – x2 – 1 = 0
  2. A relation R = {(1, 1), (1, 2), (2, 1)} is defined on the set A = {1, 2, 3}, then relation is
    • Reflexive (b)     Reflexive and transitive

(c)     Equivalence relation                                 (d)          Symmetric

  1. The number of generators of a cyclic group of order 12 is

(a)     4                          (b)     3                          (c)     2          (d)                        1

 

  1. The function f is defined as

ìïk cos x , when x ¹ p

f(x) = í

p – 2x                   2

p

îï   3      , when x = 2

2

If f(x) is continuous at x = p, then the value of k is

(a)     3                          (b)     – 3                       (c)     6          (d)                        – 6

  1. If A and B are two given sets, then A Ç (A Ç B)C is :
    • A (b)     B                          (c)     A Ç BC  (d)                        AC Ç B
  2. The value of the parameter a, for which the function f(x) = 1 + ax, a ¹ 0 is the inverse of itself, is

(a)     – 2                       (b)     – 1                       (c)     2          (d)                        1

  1. Which of the following is not a convex set ?

(a)     {(x, y) : x2  + y2 > 4}                                 (b)     {(x, y) : 2x + 5y < 7}

(c)     {(x, y) : x2  + y2 £ 4}                                 (d)     {(x, y) : 2x + 5y > 7}

  1. Let A and B be two sets such that n(A) = 20, n(A È B) = 42 and n(A Ç B) = 4, then the value of n(B) is

(a)     16                        (b)     20                        (c)     26          (d)                        30

 

  1. In a ring R, an element x is said to be an idempotent element if x2 = x. How many idempotent elements are there in the ring Z10 ?

(a)     1                          (b)     2                          (c)     3          (d)                        4

  1. If a and b are different complex numbers with |b| = 2, then ïb – a ï is

ï4 – –  ï

ï abï

(a)     0                          (b)     1/2                       (c)     1          (d)                        2

  1. The square root of i is

(a)     1 (1 + i)               (b)     1 (1 – i)               (c)     ±

(1 + i)        (d)     ±

(1 – i)

2                                    2

 

  1. If |x + 3| ³ 10 then x is

(a)     x Î [–13, 7]                                               (b)     x Î (– ¥, –13] È [7, ¥)

(c)     x Î (– ¥, –13) È (7, ¥)                             (d)     x Î (– 13, 7)

  1. If 0 < a < 1 and x > y, then
    • logax > logay (b)     logax < logay

(c)     logax = logay                                             (d)     None of these

  1. The real values of x and y for which the following equation (1 – i) x + (1 + i) y = 1 – 3i satisfied are

(a) x = –2, y = 1        (b)     x = –1, y = 2   (c)     x = 1, y = 2        (d)    x = 2, y = –1

  1. 20 persons were invited for a party. What is the number of ways in which they and the host can be seated at a circular table such that two particular persons be seated on either side of the host ?

(a)    20 !                      (b)    19 !                (c)     2(18 !)                           (d) (18 !)

  1. If nC8 = nC6, then the value of nC2 is

(a)     81                        (b)     86                        (c)     91          (d)                        9

  1. The value of (7C0 + 7C1) + (7C1 + 7C2) + … + (7C6 + 7C7) is

(a)     27 – 1                   (b)     28 – 1                   (c)     28 – 2          (d)                        28

  1. If nPr = 720 and nCr = 120, then the value of r is

(a)     3                          (b)     4                          (c)     5          (d)                        7

21. The minimum value of the expression 3x + 31 – x, xÎR is :

(c)     3                          (d)     2 3(a)     0                          (b)     1

 

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