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JSTSE Previous Year Question Papers 2010-11 Ques No 1:

The P/Q form of 23.43 is

Options:

A. 2343/99

B. 2343/100

C. 2320/99

D. 2343/999

JSTSE Previous Year Question Paper 2010-11 Ques No 2:

If x = 1 – √2, then the value of (x – x^-1)³ is

Options:

A. 2√2

B. 8

C. 1

D. None of above

JSTSE Previous Year Question Papers 2010-11 Ques No 3:

If 27^x = 9/3^x, then the value of x is

Options:

A. 0

B. 1/2

C. 1/3

D. 1

JSTSE Previous Year Question Paper 2010-11 Ques No 4:

On simplifying (1/2)³ + (1/3)³ – (5/6)³ we get

Options:

A. 0

B. -1

C. -5/12

D. 5/12

JSTSE Previous Year Question Papers 2010-11 Ques No 5:

If 109^x/5 = 209⁰ x 5^-1, then the value of x is

Options:

A. -1

B. 0

C. 1

D. None of above

JSTSE Previous Year Question Paper 2010-11 Ques No 6:

On simplifying (3⁹⁹ + 3⁹⁸) / (3¹⁰⁰ – 3⁹⁹), we get

Options:

A. 3¹⁹⁷

B. 3¹⁹⁶

C. 3/2

D. 2/3

JSTSE Previous Year Question Papers 2010-11 Ques No 7:

In a triangle ABC, the internal bisector of angles B and C meet at P and external bisectors of B and C meet at Q, then angles (BPC + BQC) will be

Options:

A. 90 degree

B. 90 degree – A/2 

C. 90 degree + A/2

D. 180 degree

JSTSE Previous Year Question Paper 2010-11 Ques No 8:

In figure, OM ⊥ AB and OM = 4 cm, OC = 5 cm, then AB is

Options:

A. 10 cm

B. 9 cm

C. 8 cm

D. 6 cm

JSTSE Previous Year Question Papers 2010-11 Ques No 9:

In figure, O is the centre of circle, if angle ACB = 40 degree then the value of angle OAB is

Options:

A. 40 degree

B. 50 degree

C. 70 degree

D. 80 degree

JSTSE Previous Year Question Papers 2010-11 Ques No 10:

If P and Q are any two points lying on the sides DC and AB respectively of a parallelogram ABCD, then the ratio of ar(∆APB) to ar(∆BQC) is

Options:

A. 2 : 3

B. 1 : 2

C. 2 : 1

D. 1 : 1

JSTSE Previous Year Question Papers 2010-11 Ques No 11:

In figure, four points A, B, C, D are on a circle. AC and BD intersect at E such that ∠BEC = 130^◦ and ∠ECD = 20^◦ then ∠BAC is 

Options:

A. 50 degree

B. 80 degree

C. 110 degree

D. 150 degree

JSTSE Previous Year Question Paper 2010-11 Ques No 12:

In figure, 2r is the radius of circle, then the shaded area of the region is

Options:

A. πr²/2

B. 2πr²/3

C. πr²

D. 3πr²/2

JSTSE Previous Year Question Papers 2010-11 Ques No 13:

The radius and slant height of a cone are in the ratio 4 : 7. If the curved surface area is 792 cm², then radius will be

Options:

A. 7 cm

B. 11 cm

C. 12 cm

D. 28 cm

JSTSE Previous Year Question Papers 2010-11 Ques No 14:

If D, E, F are mid points of sides BC, CA and AB respectively of a triangle ABC, then the ratio of ar(ABDE) and ar(ABC) is

Options:

A. 1 : 2

B. 2 : 3

C. 3 : 4

D. none of above

JSTSE Previous Year Question Paper 2010-11 Ques No 15:

The diameter of a sphere is decreased by 25% then the ratio of its curved surface area to that of new sphere is

Options:

A. 4 : 3

B. 12 : 11

C. 16 : 9

D. 32 : 27

JSTSE Previous Year Question Papers 2010-11 Ques No 16:

The distance between points A(2, 0) and B(6, 3) is 

Options:

A. 7 units

B. 6 units

C. 5 units

D. 4 units

JSTSE Previous Year Question Paper 2010-11 Ques No 17:

The volume of the sphere curved out of a cube of side 7 cm is 

Options:

A. 343π /6 cm³

B. 343π /7 cm³

C. 343π /8 cm³

D. None of above

JSTSE Previous Year Question Papers 2010-11 Ques No 18:

If M is the mean of x₁, x₂, x₃, …, x₁₀, then the value of 

Options:

A. 10

B. 5

C. 15

D. 0

JSTSE Previous Year Question Paper 2010-11 Ques No 19:

The sum of deviations of a set of n values of x₁, x₂, x₃, …, x_n measured from 15 and -3 are -90 and 54 respectively. Then the value of n is

Options:

A. 12

B. 8

C. 17

D. 6

JSTSE Previous Year Question Papers 2010-11 Ques No 20:

If the medians of numbers 29, 32, 48, 50, x, x+2, 72, 78, 84, 95 is 63, then the value of x is

Options:

A. 52

B. 56

C. 60

D. 62

JSTSE Previous Year Question Paper 2010-11 Ques No 21:

In a cricket match, a batsman hits a boundary 6 times out of 30 balls he plays, then the probability that he does not hit a boundary is

Options:

A. 4/5

B. 3/5

C. 2/5

D. none of above

JSTSE Previous Year Question Papers 2010-11 Ques No 22:

In the figure below, the value of ∠BOC, if AB || CD, is

Options:

A. 50 degree

B. 60 degree

C. 70 degree

D. 120 degree

JSTSE Previous Year Question Paper 2010-11 Ques No 23:

The value of tan1tan2tan3….tan89 is 

Options:

A. 1

B. -1

C. 0

D. None of these

JSTSE Previous Year Question Papers 2010-11 Ques No 24:

If asinθ = bcosθ, then the value of sec²θ is

Options:

A. a²/b²

B. b²/a²

C. b²/(a² + b²)

D. (a² + b²)/a²

JSTSE Previous Year Question Paper 2010-11 Ques No 25:

If both (x – 2) and (x – 1/2) are factors of px² + 5x + r, then 

Options:

A. p = r

B. p > r

C. p < r

D. None of these