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JSTSE Previous Year Question Papers 2014-15 Ques No 1:

If abc = 1, then the value of 1/(1 + a + b^-1) + 1/(1 + b + c^-1) + 1/(1 + c + a^-1) is

Options:

A. 0

B. -1

C. 1

D. 1 + a + ab

JSTSE Previous Year Question Paper 2014-15 Ques No 2:

Factors of (x⁴ + x² + 1) are 

Options:

A. (x² + x + 1)(x² + x – 1)

B. (x² – x + 1)(x² + x + 1)

C. (x² – x + 1)(x² + x – 1)

D. (x² + 1)(x² – 1)

JSTSE Previous Year Question Papers 2014-15 Ques No 3:

Ajay wanted to type first 180 natural numbers. Find the number of times he had to press the numbered keys

Options:

A. 416

B. 430

C. 432

D. 448

JSTSE Previous Year Question Paper 2014-15 Ques No 4:

If a = 4√2/(√2 + 1), then the value of (a + 2)/(a – 2) – (a + 2√2)/(a – √2) is

Options:

A. 12 + 8√2

B. 12 – 8√2

C. 2

D. -2

JSTSE Previous Year Question Papers 2014-15 Ques No 5:

If 5^2x-1 – 100 = 25^x-1, then the value of 6^x is

Options:

A. 6

B. 1/6

C. 36

D. 1/36

JSTSE Previous Year Question Paper 2014-15 Ques No 6:

If 3a – 2b + c = 0, then the value of 9a² – 4b² + c² + 6ac is

Options:

A. -1

B. 1

C. 2

D. 0

JSTSE Previous Year Question Papers 2014-15 Ques No 7:

If (√3 + 2√5)/(√3 – 2√5) = b + a√15, then the value of a and b are

Options:

A. a = -23/17 and b = 4/17

B. a = 23/17 and b = 4/17

C. a = -4/17 and b = -23/17

D. a = -4/17 and b = 23/17

JSTSE Previous Year Question Paper 2014-15 Ques No 8:

If x = 3 + 3^1/3 + 3^2/3, then the value of x³ – 9x² + 18x – 12 is

Options:

A. 0

B. -1

C. 1

D. 2

JSTSE Previous Year Question Papers 2014-15 Ques No 9:

In figure, AC = CB  = AD, then the value of x is

Options:

A. 49.5 degree

B. 30 degree

C. 33 degree

D. 49 degree

JSTSE Previous Year Question Paper 2014-15 Ques No 10:

One interior angle of a regular polygon is 165 degree, then the number of the sides of the polygon is

Options:

A. 15

B. 25

C. 24

D. 18

JSTSE Previous Year Question Papers 2014-15 Ques No 11:

If (9ⁿ x 3² x (3^-n/2)^-2 – (27)ⁿ) / (3^3m x 2³) = 1/27, then the value of (m – n) is 

Options:

A. -1

B. 1

C. 2

D. -2

JSTSE Previous Year Question Paper 2014-15 Ques No 12:

If √(3/5)^1-2x = 4 17/27, then the value of x is 

Options:

A. -2/7

B. 2/7

C. -7/2

D. 7/2

JSTSE Previous Year Question Papers 2014-15 Ques No 13:

The sum of five consecutive odd natural numbers is 65. The sum of the extreme numbers is

Options:

A. 24

B. 26

C. 28

D. 30

JSTSE Previous Year Question Paper 2014-15 Ques No 14:

In figure, O is the centre of the circle, then 

Options:

A. x + y + z = 180 degree

B. z = 2x + y

C. y = z + x

D. z = x + y

JSTSE Previous Year Question Papers 2014-15 Ques No 15:

The value of 0.2 + 0.23 is   

Options:

A. 0.43

B. 0.43

C. 0.45

D. 0.45

JSTSE Previous Year Question Paper 2014-15 Ques No 16:

If (5x + 8y) / (6x – 7y) = 5 4/9, then the value of x/y is

Options:

A. 5/3

B. 3/5

C. -5/3

D. -3/5

JSTSE Previous Year Question Papers 2014-15 Ques No 17:

The mean of 5 observations is 15. If the mean of first three observations is 14 and the mean of the last three observation is 17, then the third observation is

Options:

A. 18

B. 19

C. 17

D. 20

JSTSE Previous Year Question Paper 2014-15 Ques No 18:

The area of a semi-circle is 308 m², then the perimeter of the semi-circle is

Options:

A. 44 m

B. 72 m

C. 58 m

D. 88 m

JSTSE Previous Year Question Papers 2014-15 Ques No 19:

If x = (3m – 4)/5, y = (m – 7)/3 and x + y = 13/3, then the value of m is

Options:

A. 6

B. 8

C. -8

D. -4

JSTSE Previous Year Question Paper 2014-15 Ques No 20:

If the numbers 28, 25, 20, 19, 15, x, 10, 7, 6 are in ascending order and their median is then the mean is 

Options:

A. 14.4

B. 15.4

C. 16.4

D. 14.6

JSTSE Previous Year Question Papers 2014-15 Ques No 21:

In the figure, CD and BD are bisectors ∠C = ∠ABE respectively. If ∠BDC = 28 degree, then the value of (∠ABC + ∠ACB) is

Options:

A. 28 degree

B. 56 degree

C. 84 degree

D. 124 degree

JSTSE Previous Year Question Papers 2014-15 Ques No 22:

The area of the square whose the sum of its diagonals is 100 cm, is

Options:

A. 5000 cm²

B. 125 cm²

C. 100√2 cm²

D. 1250 cm²

JSTSE Previous Year Question Paper 2014-15 Ques No 23:

Travelling at (4/5)^th of his usual speed, a man is 15 minutes late. His usual time to cover the same distance is

Options:

A. 45 minutes

B. 60 minutes

C. 75 minutes

D. 90 minutes

JSTSE Previous Year Question Papers 2014-15 Ques No 24:

The equations 1/x + 1/y = 15 and 1/x – 1/y = 5 are such that ax = 1 and by = 1. The values of a and b respectively are:

Options:

A. 10, 5

B. 10, -5

C. -5, 10

D. 5, 10

JSTSE Previous Year Question Paper 2014-15 Ques No 25:

A conical tent is 12 m high and the radius of its base is 9 m. What is the cost of canvas required to make the tent, if the cost of 1m² canvas Rs. 14?

Options:

A. Rs. 5840

B. Rs. 5940

C. Rs. 4950

D. Rs. 5960

JSTSE Previous Year Question Papers 2014-15 Ques No 26:

The perimeter of a rectangle whose length is 60 cm and the a diagonal is 61 cm is

Options:

A. 120 cm

B. 242 cm

C. 121 cm

D. 142 cm

JSTSE Previous Year Question Paper 2014-15 Ques No 27:

The coefficient of x² in (x + 3)(x – 5)(x + 7) is

Options:

A. 28

B. 1

C. -5

D. 5

JSTSE Previous Year Question Papers 2014-15 Ques No 28:

The decimal expansion of 987/10500 is 

Options:

A. 0.976

B. 0.094

C. 0.940

D. 0.0094

JSTSE Previous Year Question Paper 2014-15 Ques No 29:

If (x + 3) and (x + 2) are factors of 2x³ + mx² + 7x + n, then the values of m and n are 

Options:

A. m = 9, n = -6

B. m = -9, n = 6

C. m = -9, n = -6

D. m = 9, n = 6

JSTSE Previous Year Question Papers 2014-15 Ques No 30:

In the figure, ABCD is a cyclic quadrilateral and ∠ADC = 80 degree, ∠ACD = 50 degree, then the value of ∠CBD is

Options:

A. 60 degree

B. 130 degree

C. 50 degree

D. 40 degree