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JSTSE Previous Year Question Paper 2016-17 Ques No 1:

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

Options:

A. 2

B. 1

C. 4

D. 8

JSTSE Previous Year Question Papers 2016-17 Ques No 2:

The value of 1/(√2 + 1) + 1/(√3 + √2) + 1/(√4 + √3) + … + 1/(√9 + √8) is 

Options:

A. 4

B. 1

C. 2

D. 3

JSTSE Previous Year Question Paper 2016-17 Ques No 3:

If √(13 – a√10) = √8 + √5, then the value of a is

Options:

A. -4

B. 4

C. 2

D. -2

JSTSE Previous Year Question Papers 2016-17 Ques No 4:

It is given that ∆ABC ≅ ∆FDE and AB = 5 cm, ∠B = 40 degree and ∠A = 80 degree, then which of the following is true?

Options:

A. DF = 5 cm, ∠F = 60 degree

B. DF = 5 cm, ∠E = 60 degree

C. DE = 5 cm, ∠E = 60 degree

D. DE = 5 cm, ∠D = 40 degree

JSTSE Previous Year Question Paper 2016-17 Ques No 5:

If (a³ + 3ab²)/(3a²b + b³) = (x³ + 3xy²)/(3x²y + y³), then

Options:

A. ax = by

B. xy = ab

C. ay = bx

D. ax = b

JSTSE Previous Year Question Papers 2016-17 Ques No 6:

How much pure alcohol should be added to 400 ml of a 15% solution to make its strength 32% ?

Options:

A. 80 ml

B. 90 ml

C. 95 ml

D. 100 ml

JSTSE Previous Year Question Paper 2016-17 Ques No 7:

Simplified form of [2ⁿ⁺⁴ – 2(2ⁿ)] / [2(2ⁿ⁺³)] is

Options:

A. 1/8

B. 5/8

C. 7/8

D. 9/8

JSTSE Previous Year Question Papers 2016-17 Ques No 8:

If a^x = c^y = b and c^y = a^z = d, then 

Options:

A. xy = qz

B. x/y = q/z

C. x + y = q + z

D. x – y = q – z

JSTSE Previous Year Question Paper 2016-17 Ques No 9:

If a + b + c = 0, then the value of a²(b + c) + b²(c + a) + c²(a + b) is

Options:

A. abc

B. 3abc

C. -3abc

D. 0

JSTSE Previous Year Question Papers 2016-17 Ques No 10:

A boy is running at a speed of p km/h to cover a distance of 1 km. But due to slippery ground, his speed is reduced by q km/h. If he takes r hours to cover the same distance, then 

Options:

A. 1/ r = pq/(p + q)

B. 1/ r = (p + q)

C. 1/ r = (p – q)

D. r = p – q

JSTSE Previous Year Question Paper 2016-17 Ques No 11:

If 2^2x-1 + 4^x = 2^x-1/2 + 2^x+1/2, then the value of x is 

Options:

A. 1/2

B. 2/3

C. 1

D. 3/2

JSTSE Previous Year Question Papers 2016-17 Ques No 12:

The price of an article was increased by p%. Later the new price was decreased by p%. If the last price was Re. 1, then original price was 

Options:

A. (1 – p²)/200

B. √(1 – p²)/100

C. 1 – p²/(10000 – p²)

D. 10000/(10000 – p²)

JSTSE Previous Year Question Paper 2016-17 Ques No 13:

If x² – 8x – 1 = 0, then x² + 1/x² is equal to  

Options:

A. 66 + 4√3

B. 66

C. 32

D. 64

JSTSE Previous Year Question Papers 2016-17 Ques No 14:

The surface area of a sphere and a cube are equal. Then the volumes are in the ratio is 

Options:

A. 6 : √π

B. √6 : √π

C. 6 : π

D. √6 : π

JSTSE Previous Year Question Paper 2016-17 Ques No 15:

If m/n = 4/3 and r/t = 9/14, then the value of (3mr – nt)/(4nr – 7mr) is

Options:

A. -5 1/2

B. -11/14

C. -1 1/4

D. 11/14

JSTSE Previous Year Question Papers 2016-17 Ques No 16:

A man buys some pens at the rate of Rs. 10 for 3 and twice these pens at the rate of Rs. 13 for 4. He sells all of them at the Rs. 59 a dozen. His profit percentage is

Options:

A. 16.67

B. 50

C. 33.33

D. 59

JSTSE Previous Year Question Paper 2016-17 Ques No 17:

A shopkeeper sells 10 kg of sugar at Rs.150. A customer asks for 15% discount and shopkeeper agrees to his demand, but instead of 1 kg, he gives only 960 gm. The approximate effective discount that the customer gets is

Options:

A. 5.5%

B. 11.46%

C. 12.64%

D. 10.5%

JSTSE Previous Year Question Papers 2016-17 Ques No 18:

The sum of the coefficient of x² and x in the product of (x – 3)(x + 7)(x – 4) is 

Options:

A. 0

B. 37

C. 84

D. -37

JSTSE Previous Year Question Paper 2016-17 Ques No 19:

If √3 = 1.732 and √2 = 1.414, then the value of 4/(3√3 – 2√2) + 3/(3√3 + 2√2)

Options:

A. 2.036

B. 2.063

C. 2.603

D. 2.306

JSTSE Previous Year Question Papers 2016-17 Ques No 20:

In the given figure, AB || CD || EF, PQ || RS, ∠RQD = 25 degree, ∠CQP = 60 degree, then ∠QRS is

Options:

A. 135 degree

B. 110 degree

C. 143 degree

D. 95 degree

JSTSE Previous Year Question Paper 2016-17 Ques No 21:

The cost price of desk and a chair is Rs. 371. If the desk costs 12% more than the chair, then the cost price of the desk is

Options:

A. Rs. 175

B. Rs. 196

C. Rs. 180

D. Rs. 200

JSTSE Previous Year Question Papers 2016-17 Ques No 22:

In the figure, X and Y are midpoints of AB and AC respectively and BC = 6 cm, AB = 5.4 cm, AC = 5 cm. Then the perimeter of the trapezium XYCB is 

Options:

A. 16.4 cm

B. 14 cm

C. 14.2 cm

D. 13.4 cm

JSTSE Previous Year Question Paper 2016-17 Ques No 23:

A heptagon has 4 equal angles each of 132 degree and remaining three angles are also equal. The measure of one of the three equal angles is 

Options:

A. 132 degree

B. 124 degree

C. 142 degree

D. 123 degree

JSTSE Previous Year Question Papers 2016-17 Ques No 24:

In the given figure, the value of x is 

Options:

A. a + b – c

B. a – b + c

C. a + b + c

D. a – b – c

JSTSE Previous Year Question Paper 2016-17 Ques No 25:

The value of ∛(20 + 14√2) + ∛(20 – 14√2) is 

Options:

A. 20

B. 14

C. 6

D. 4

JSTSE Previous Year Question Papers 2016-17 Ques No 26:

If ax + by = 3, bx – ay = 4, x² + y² = 1, then the value of a² + b² is

Options:

A. 25

B. -25

C. 16

D. -16

JSTSE Previous Year Question Paper 2016-17 Ques No 27:

If x + 1/x = 5, then the value of (x⁴ + 3x³ + 5x² + 3x + 1)/(x⁴ + 1) is

Options:

A. 41/23

B. 43/23

C. 47/21

D. 45/21

JSTSE Previous Year Question Papers 2016-17 Ques No 28:

If x = 2√6/(√3 + √2), then the value of (x + √2)/(x – √2) + (x + √3)/(x – √3) is

Options:

A. 0

B. 1

C. 2

D. √6

JSTSE Previous Year Question Paper 2016-17 Ques No 29:

The area of a circular ring enclosed between two concentric circles is 286 cm². If the difference between their radii is 7 cm, then the radii of these circles are  

Options:

A. 12 cm and 5 cm

B. 9 cm and 2 cm

C. 11 cm and 4 cm

D. 10 cm and 3 cm

JSTSE Previous Year Question Papers 2016-17 Ques No 30:

If x = (27)^1/3 and y = (28)^1/3, then the value of (x + y) – 1/(x² + xy + y²) is

Options:

A. 1

B. 3

C. 6

D. 1/3