UPSEE 2016 Sample Paper Maths

Here You will find Sample Paper for UPSEE 2016. We are Providing only 20 Questions of UPSEE level try to solve these questions in stipulated time of 20 minutes.UPSEE Sample Paper Physics

UPSEE Sample Paper Maths

1. In Triangle ABC, if a = 3, b = 4, c = 5, then inradius(r) is equal to
(1) 1                (2) 2                    (3) 6                          (4) 3

Ans: (1)

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2. In a Triangle ABC, value of b(1 – cosC) + c(1 – cosB) is equal to
(1) a + b + c  (2) a – b – c           (3) b + c – a             (4) a

Ans: (3)

3. If a, b, g are cube roots of unity then the value of
(a + b + g) is
(1) 0              (2) 1                       (3) 2                         (4) 3

Ans: (1)

 

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4. The value of square roots of (3 + 4i) may be
(1) 2 + i         (2) 3 + i                  (3) 4 + i                   (4) 5 + i

Ans: (1)

5. Let |z – 1 – i| + | z – 4 – 5i| = K represents an ellipse, then the value of K cannot be
(1) 6              (2) 7                       (3) 8                       (4) 5

Ans: (4)

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6.Maximum value of g(x) = –x2 – 4x + 2 is
(1) 8               (2) 4                        (3) 6                       (4) 2

Ans: (3)

7. a, b be roots of x2 – 7x + 150 = 0, then the quadratic equation whose roots are 2a, 2b is
(1) x2 – 14x + 600 = 0
(2) 4x2 – 14x + 150 = 0
(3) 600x2 – 14x + 1 = 0
(4) 150x2 – 14x + 4 = 0

Ans: (1)

 

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8. Letters of word ‘MAMTA’ is arranged in all possible ways. Total number of such arrangement is
(1) 30                     (2) 15                      (3) 60                            (4) 120

Ans: (1)
9. Total number of ways in which 5 boys and 5 girls can be seated in row is
(1) 5!                      (2) 6! 5!                   (3) 10!                           (4) 5! 5!

Ans: (3)

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10. There are 8 men and 4 women. Number of committee of 5 persons such that at least one woman is present in committee is
(1) 750                   (2) 700                     (3) 676                           (4) 736

Ans: (4)

11. Number of different signals that can be generated by using 5 different coloured flags, when any number may be hoisted at a time is
(1) 350                   (2) 325                      (3) 315                            (4) 300

Ans: (2)

12. If a polygon has 77 diagonals, the number of sides in the polygon is
(1) 12                     (2) 13                        (3) 14                               (4) 15

Ans: (3)

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13. If letters of the word “PRETTY” are arranged in all possible ways, then the rank of the word “PRETTY” would be
(1) 71                     (2) 72                          (3) 73                                 (4) 74

Ans: (3)

14. The total number of non-negative integral solution of equation is
(1) 62C2                       (2) 59C2                             (3) 62C3                                     (4) 59C3

Ans: (1)

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15. Exponent of 3 in 100C30 is
(1) 0                        (2) 2                            (3) 1                                   (4) 4

Ans: (2)

16. Number of terms in expansion of (4x2 + 4x + 1)15 is
(1) 16                      (2) 31                          (3) 30                                  (4) 15

Ans: (2)

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17. If the binomial coefficient of 6th and 16th terms in the expansion of (x + a)n are equal, then the value of n is
(1) 19                      (2) 20                           (3) 21                                 (4) 22

Ans: (2)

18. If f(x) = kx + sinx is increasing function then the minimum value of k is
(1) –2                      (2) –1                           (3) 1                                    (4) 2

Ans: (3)

19. The maximum value of y = x2 + x + 1 in [1, 3] is
(1) 1                       (2) 3                               (3) 4                                   (4) 13

Ans: (4)

20. If f(x) = x3 + x2 + kx + 4 is increasing for all xξR then the minimum positive integral value of ‘k’ is
(1) 3                        (2) 2                               (3) 1                                   (4) 4

Ans: (3)

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Saurabh Shrivastava is B.Tech in Computers. He mentors students preparing for JEE Main and Advanced,

He is a passionate person, who loves to read novels, watch movies and write for Dreamiit.

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