**Selection Test for Post Graduate Teacher (STPGT) Mathematics Question Paper 2016**

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**AF16-XV**

**EXAMINATION-STPGT**

SUBJECT : MATHEMATICS

**Direction: **Answer the following questions by selecting the correct option.

**1. Two [mite sets A and B have m and n elements respectively. If the total number of subsets of A is 112 more than the total number of subsets of B, then the value of m is**

- 7
- 9
- 10
- None of the above

**2. The relation** **R = {(I, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1,3)} on the set A = {I, 2, 3} is**

- reflexive but not symmetric
- reflexive but not transitive
- symmetric and transitive
- neither symmetric nor transitive

**3. If a, b, c are distinct positive numbers, then which one of the following is true?**

- (b+ c- a)(c+ a- b)(a+ b – c)- abc > 0
- (b+ c- a)(c+ a- b)(a+ b – c)- abc < 0
- (b+ c- a)(c+ a- b)(a+ b – c)- abc = 0
- None of the above

**4. If a polygon has 44 diagonals, then the number of its sides is**

- 10
- 7
- 8
- 11

**5. If sum of n terms of an arithmetic progression is 3n ^{2}+5n and the m thterm of the progression is 164, then the value m is**

- 26
- 27
- 28
- None of the above

**6. If sin A, cos A and tan A are m geometric progression, then the value of Cot ^{6} A – cot^{2} A is**

- 1
- Sin
^{2}A - Sin A cos A
- None of the above

**7. The curve 4x ^{2} + 4xy+ y^{2} + 4x+2y+20 = 0 has**

- one centre
- no centre
- infinitely many centres
- None of the above

**8. The standard deviation of 5, 5, 5, 7, 7, 7 Is**

- 1
- 0
- 5
- None of the above

**9. The coefficient of correlation lies in the interval**

- [0, 1]
- (-1, 1)
- [-1, 1]
- [-1, 0]

**10. The arithmetic mean of first 100 natural numbers is**

- 51
- 50
- 5
- None of the above

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