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JSTSE Previous Year Question Papers 2008-09 Ques No 1:

If x = 2^1/3 + 2^2/3, then the value of x³ will be

Options:

A. 6 + 6x

B. 8

C. 6

D. 6x

JSTSE Previous Year Question Papers 2008-09 Ques No 2:

If x + 1/x = 4, then the value of x³ – x² – 1/x³ – 1/x² will be

Options:

A. 64

B. 48

C. 38

D. 0

JSTSE Previous Year Question Papers 2008-09 Ques No 3:

On evaluating (1.1)³ – (0.7)³ – (0.4)³, we get

Options:

A. 0

B. 0.924

C. 1.174

D. 8.8

JSTSE Previous Year Question Papers 2008-09 Ques No 4:

On simplifying [(a² – b²)³ + (b² – c²)³ + (c² – a²)³] / [(a – b)³ + (b – c)³ + (c – a)³] 

Options:

A. 0

B. 3(a + b)(b + c)(c + a)

C. 3(a – b)(b – c)(c – a)

D. (a + b)(b + c)(c + a)

JSTSE Previous Year Question Papers 2008-09 Ques No 5:

(0.83 x 0.83 x 0.83 + 0.17 x 0.17 x 0.17) / (0.83 x 0.83 – 0.83 x 0.17 + 0.17 x 0.17) =

Options:

A. 0

B. 1

C. (0.83 – 0.17)³

D. 0.83 + 0.83 x 0.17

JSTSE Previous Year Question Papers 2008-09 Ques No 6:

If R₁ and R₂ are the remainders when polynomials x³ + 2x² – 5ax – 7 and x³ + ax² – 12x + 6 are divided by x + 1 and x – 2 respectively, If R₁ – R₂ = 0, then the value of a is

Options:

A. -4

B. -1

C. 13

D. -13

JSTSE Previous Year Question Papers 2008-09 Ques No 7:

If x, y, z, are positive real numbers, then the value of √(x^-1y) √(y^-1z) √(z^-1x) will be

Options:

A. xyz

B. x^-1y^-1z^-1

C. 1

D. 0

JSTSE Previous Year Question Papers 2008-09 Ques No 8:

If 1/x = 2, 1/y = 3, 1/z = 4, then the value of (x^-2 + y^-2 + z^-2)^-1 will be

Options:

A. (1/9)^-1

B. (1/19)^-1

C. (1/29)^-1

D. 1/29

JSTSE Previous Year Question Papers 2008-09 Ques No 9:

In the given figure, AB || CD, ∠EAB = 120 degree and ∠ECB = 100 degree. Then the value of ∠AEC is

Options:

A. 140 degree

B. 120 degree

C. 100 degree

D. 20 degree

JSTSE Previous Year Question Papers 2008-09 Ques No 10:

The bisector of base angles ∠B and ∠C of a ∆ABC encloses an angle of 135 degree, then angle A will be

Options:

A. 45 degrees

B. 62.5 degrees

C. 90 degrees

D. None of these

JSTSE Previous Year Question Papers 2008-09 Ques No 11:

AD is the median of ∆ABC and DE is median of ∆ABD. If ar(∆ABC) = 40 cm², then the value of ar(∆BDE) is

Options:

A. 13.33 cm²

B. 20 cm²

C. 10 cm²

D. None of these

JSTSE Previous Year Question Papers 2008-09 Ques No 12:

ABCD is a parallelogram X and Y are mid points of BC and CD respectively, then the ar(∆CYX) will be

Options:

A. (1/4) ar(ABCD)

B. (3/4) ar(ABCD)

C. (1/8) ar(ABCD)

D. (3/8) ar(ABCD)

JSTSE Previous Year Question Papers 2008-09 Ques No 13:

In a parallelogram ABCD, AE ⊥ DC and CF ⊥ AD. If AB = 16 cm, AE = 8 cm, and CF = 10 cm, then AD will be

Options:

A. 12.8 cm

B. 20 cm

C. 18 cm

D. 5 cm

JSTSE Previous Year Question Papers 2008-09 Ques No 14:

In the given figure, OCDE is a rectangle inscribed in a quadrant of a circle of radius 10 cm. If OE = 2√5, then the area of rectangle is

Options:

A. 20√5 cm²

B. 20 cm²

C. 40 cm²

D. 40√5 cm²

JSTSE Previous Year Question Papers 2008-09 Ques No 15:

If two concentric circle with centre O have A, B, C, D as points of intersections with L as shown in figure, If AD = 14 cm, BC = 10 cm, then the value of AB will be

Options:

A. 2 cm

B. 4 cm

C. 5 cm

D. 7 cm

JSTSE Previous Year Question Papers 2008-09 Ques No 16:

An equilateral triangle of side 9 cm is inscribed in a circle. The inradius of the circle is 

Options:

A. 9 cm

B. 4.5 cm

C. 3√3 cm

D. 3 cm

JSTSE Previous Year Question Papers 2008-09 Ques No 17:

In the figure, O is the centre of the circle ∠OAB = 20 degree and ∠OCB = 55 degree, then ∠BOC will be

Options:

A. 55 degree

B. 70 degree

C. 75 degree

D. 95 degree

JSTSE Previous Year Question Papers 2008-09 Ques No 18:

In the figure, O is the centre of the circle. The value of ∠CBD is

Options:

A. 100 degree

B. 75 degree

C. 50 degree

D. 80 degree

JSTSE Previous Year Question Papers 2008-09 Ques No 19:

In the figure, O is the centre of the circle. ACBO is a parallelogram, then the value of x is

Options:

A. 90 degree

B. 2y

C. (180 – y) degree

D. 120 degree

JSTSE Previous Year Question Papers 2008-09 Ques No 20:

A metallic sheet of the rectangular shape with dimension 35 cm x 20 cm. From each one of its corner, a square of 5 cm is cut off and open box is made of remaining sheet. The volume of the box is

Options:

A. 1250 cm³

B. 2250 cm³

C. 3000 cm³

D. None of these

JSTSE Previous Year Question Papers 2008-09 Ques No 21:

A semi-circular sheet of metal of diameter 28 cm is bent into on open conical cup. The depth of the cup is 

Options:

A. 14 cm

B. 14√3 cm 

C. 7 cm

D. 7√3 cm 

JSTSE Previous Year Question Papers 2008-09 Ques No 22:

The following observation have been arranged in ascending order 29, 32, 48, 50, x, x+2, 72, 78, 84, 95. If median of the data is 63. Then the value of x is 

Options:

A. 61

B. 62 

C. 63

D. 64

JSTSE Previous Year Question Papers 2008-09 Ques No 23:

If M is the mean of n observations x1, x2, x3, …, xn, then the value of 

Options:

A. 0

B. 1 

C. M

D. 2M

JSTSE Previous Year Question Papers 2008-09 Ques No 24:

If the mean of 10 observations is 61.4 and median is 63, then the mode will be 

Options:

A. 63

B. 64.6

C. 66.2

D. 62.2

JSTSE Previous Year Question Papers 2008-09 Ques No 25:

The percentage of marks obtained by a students in the monthly unit test are given below. The probability that the students gets at least 60% marks is

Options:

A. 0

B. 2/3

C. 3/5

D. 4/5