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JSTSE Previous Year Question Paper 2011-12 Ques No 1:

Simplify : 6 1/7 + 5 1/4 + 8 1/2 – 6 1/4 = ?

Options:

A. 13 1/7

B. 6 1/5

C. 23 1/7

D. 29 

JSTSE Previous Year Question Papers 2011-12 Ques No 2:

30% of 150 + ? % of 300 = 40% of 450

Options:

A. 65

B. 35

C. 45

D. 125 

JSTSE Previous Year Question Paper 2011-12 Ques No 3:

In triangle ABC, AB = 3 cm, BC = 5 cm, AC = 4 cm, then the right angle will be formed at 

Options:

A. Vertex A

B. Vertex B

C. Vertex C

D. None of Above

JSTSE Previous Year Question Papers 2011-12 Ques No 4:

Find the wrong term in the following series : 9359, 1559, 311, 17, 25, 12, 12

Options:

A. 77

B. 25

C. 12

D. 1558

JSTSE Previous Year Question Paper 2011-12 Ques No 5:

The difference between 31% and 12% of a number is 576. Find 17% of the same number.

Options:

A. 640

B. 888

C. 544

D. 442

JSTSE Previous Year Question Papers 2011-12 Ques No 6:

If the selling price of 10 pens is same as cost price of 8 pens, then loss % is 

Options:

A. 15%

B. 20%

C. 8%

D. 30%

JSTSE Previous Year Question Paper 2011-12 Ques No 7:

In a mixture of 75 litres, the ratio of milk of water is 2 : 1. The amount of water to be further added to the mixture so as to wake the ratio of milk to water 1 : 2  will be 

Options:

A. 60 lts.

B. 45 lts.

C. 75 lts.

D. 30 lts.

JSTSE Previous Year Question Papers 2011-12 Ques No 8:

The sum of the three consecutive odd numbers is 285. The smallest number is  

Options:

A. 95

B. 97

C. 93

D. 99

JSTSE Previous Year Question Paper 2011-12 Ques No 9:

A sum of money doubles in 7 yrs of simple interest it will become four fold in 

Options:

A. 10 yrs 

B. 35 yrs 

C. 21 yrs 

D. 14 yrs

JSTSE Previous Year Question Papers 2011-12 Ques No 10:

By travelling at 4/5th of his usual speed a person is late by 20 minutes. Initial time to cover the distance was

Options:

A. 80 minutes 

B. 65 minutes

C. 45 minutes 

D. 50 minutes

JSTSE Previous Year Question Paper 2011-12 Ques No 11:

A tap can fill an empty tank in 12 hours and a leakage can empty the whole tank in  20 hours. If the tap and the leakage are working simultaneously the whole tank to fill will take

Options:

A. 25 hrs

B. 40 hrs

C. 30 hrs

D. 35 hrs

JSTSE Previous Year Question Papers 2011-12 Ques No 12:

Ratio of angle of a quadrilateral is 1 : 2 : 3 : 4. The sum of twice the smallest angle and half of the largest angle is

Options:

A. 144 degree

B. 150 degree

C. 156 degree

D. 162 degree

JSTSE Previous Year Question Paper 2011-12 Ques No 13:

Difference of circumference of two circle is 132 cm. Radius of smaller circle is 14 cm. The radius of the larger circle is

Options:

A. 35 cm

B. 40 cm

C. 46 cm

D. 54 cm

JSTSE Previous Year Question Paper 2011-12 Ques No 14:

Raj, Ritik and Piyush begin to jog around a circular stadium. They complete their revolutions in 42 sec, 56 sec and 63 sec respectively. They will be together at starting points after:

Options:

A. 336 sec

B. 504 sec

C. 252 sec

D. Can’t be determined

JSTSE Previous Year Question Paper 2011-12 Ques No 15:

Rasmi sets alarm in two different clocks. The first alarm rings after every 30 minutes and the second rings after every 90 minutes. If they ring together at 11 pm. They will ring again together at:

Options:

A. 12 : 30 am

B. 2 : 00 am

C. 1 : 30 am

D. 1 : 00 am

JSTSE Previous Year Question Paper 2011-12 Ques No 16:

Simplifying (2ⁿ + 2^n-1) / (2^n-1 – 2ⁿ), we get

Options:

A. 1/2

B. -3

C. 1/2 x (2ⁿ – 1)

D. 3/2 x (2ⁿ + 1)

JSTSE Previous Year Question Paper 2011-12 Ques No 17:

The value of expression √(2√(2√(2√(2….) is

Options:

A. 2

B. 3

C. 4

D. 10

JSTSE Previous Year Question Papers 2011-12 Ques No 18:

The solution of 3^3k+5 x 3^3k+3 = 9 is

Options:

A. k = 1

B. k = -1

C. k = -5/3

D. k = 1/2

JSTSE Previous Year Question Paper 2011-12 Ques No 19:

In the figure, O is the center of the circle is BC = OD, ∠AOD = P and ∠ACO = q, then 

Options:

A. p = 3q/2

B. p = 2q

C. p = 3q

D. There is no relationship between them 

JSTSE Previous Year Question Papers 2011-12 Ques No 20:

In the figure, if ∠FBD = 62 degree and ∠BAC = 43 degree, then ∠EDC will be

Options:

A. 10 degree

B. 43 degree

C. 16 degree

D. 31 degree

JSTSE Previous Year Question Paper 2011-12 Ques No 21:

If cube of surface S has a volume V, then volume of cube of surface area 2S is 

Options:

A. √2 V

B. 2V

C. 2√2 V

D. 4V

JSTSE Previous Year Question Paper 2011-12 Ques No 22:

If x + 1/x = 1/4 then the value of x³ + 1/x³ would be 

Options:

A. 64

B. 52

C. 32

D. 12

JSTSE Previous Year Question Papers 2011-12 Ques No 23:

(1 + tan²θ) / (1 + cot²θ) is

Options:

A. sec²θ

B. -1

C. cot²θ

D. tan²θ

JSTSE Previous Year Question Papers 2011-12 Ques No 24:

The ratio of length of a pole and its shadow is 1 : √3. The angle of elevation of the sun is

Options:

A. 90 degree

B. 60 degree

C. 45 degree

D. 30 degree

JSTSE Previous Year Question Papers 2011-12 Ques No 25:

In a triangle ABC, internal bisector of angles B and C meet at P and External bisectors of B and C meet at Q. Then, angles (BPC + BQC) is

Options:

A. 90 degree

B. 90 degree – A/2 

C. 90 degree + A/2

D. 180 degree

JSTSE Previous Year Question Papers 2011-12 Ques No 26:

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

Options:

A. 3 cm

B. 11 cm

C. 12 cm

D. 28 cm

JSTSE Previous Year Question Papers 2011-12 Ques No 27:

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

Options:

A. 343π/6 cm³

B. 343π/7 cm³

C. 343π/8 cm³

D. None of these

JSTSE Previous Year Question Papers 2011-12 Ques No 28:

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 Papers 2011-12 Ques No 29:

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