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JSTSE Previous Year Question Paper 2015-16 Ques No 1:

If x = √6 – √3, y = √3 – √2, z = √2 – √6, then find the value of x³ + y³ + z³ – 2xyz

Options:

A. 3√2 – 4√3 + √6 

B. 0

C. 3√2 + 5√3 – √6 

D. √6 + √3 + √2 

JSTSE Previous Year Question Papers 2015-16 Ques No 2:

The value of √(12+ √(12+ √(12+ √(12+ …))))  is

Options:

A. -3

B. 4

C. 12

D. 3

JSTSE Previous Year Question Paper 2015-16 Ques No 3:

The remainders when x⁴⁵ is divided by (x² – 1) is

Options:

A. 0

B. x

C. 2x

D. -x

JSTSE Previous Year Question Papers 2015-16 Ques No 4:

Find the value of (a + b)²/[(b – c)(c – a)] + (b + c)²/[(a – b)(c – a)] + (c + a)²/[(a – b)(b – c)].

Options:

A. 0

B. 1

C. 2

D. -1

JSTSE Previous Year Question Paper 2015-16 Ques No 5:

If √2 = 1.4142, then the value of √(√2 – 1)/(√2 + 1) is

Options:

A. 2.4142

B. 0.4142

C. 5.8282

D. 0.1718

JSTSE Previous Year Question Papers 2015-16 Ques No 6:

If x/y + y/x = -1, (where x and y are non-zeroes), then the value of (x³ – y³) is

Options:

A. 1

B. 1/2

C. 0

D. -1

JSTSE Previous Year Question Paper 2015-16 Ques No 7:

If a, b and c are all non-zero and a + b + c = 0, then the value of a²/bc + b²/ca + c²/ab is

Options:

A. 3

B. -3

C. 0

D. -1

JSTSE Previous Year Question Papers 2015-16 Ques No 8:

A person saves 180 minutes in covering a certain distance when he increases his speed form 25 km/h to 30 km/h. Find the distance.

Options:

A. 250 km

B. 420 km

C. 450 km

D. 560 km

JSTSE Previous Year Question Paper 2015-16 Ques No 9:

The greatest 5 digit number exactly divisible by 9, 13 and 17 is

Options:

A. 99945

B. 99954

C. 99450

D. 99918

JSTSE Previous Year Question Papers 2015-16 Ques No 10:

If P : Q : R = 2 : 3 : 4 and P² + Q² + R² = 11600, then find the value of P – Q + R.

Options:

A. 60

B. 20

C. 24

D. 100

JSTSE Previous Year Question Paper 2015-16 Ques No 11:

In the adjoining figure, ABCD is a rectangle and E and F are the midpoints of the side BC and CD respectively. What is the ratio of the area of ∆AEF to the area of ∆FCE?

Options:

A. 2 : 1

B. 5 : 2

C. 3 : 1

D. 2 : 3

JSTSE Previous Year Question Paper 2015-16 Ques No 12:

If a^1/m = b^1/n = c^1/p and abc = 1, then the value of m + n + p is

Options:

A. 1

B. 2

C. -1

D. 0

JSTSE Previous Year Question Papers 2015-16 Ques No 13:

By selling 18 chocolates, a vendor losses the selling price of 2 chocolates. Loss percent is

Options:

A. 8%

B. 10%

C. 12%

D. 6%

JSTSE Previous Year Question Paper 2015-16 Ques No 14:

12 women can do a piece of work in 20 days. If the 4 women denied to work, then to complete the work number of more days required will be 

Options:

A. 6 days

B. 10 days

C. 12 days

D. 30 days

JSTSE Previous Year Question Papers 2015-16 Ques No 15:

In figure, if BC passes through the center of the circle and AB = AC = a units, then the area of the shaded region is 

Options:

A. (a²/2)(3 – π)

B. a²(π/2 – 1)

C. 2a²(π – 1)

D. (a²/2)(π/2 – 1)

JSTSE Previous Year Question Paper 2015-16 Ques No 16:

If there are two children in a family, then the probability of at least one girl in a family is  

Options:

A. 1/4

B. 1/2

C. 1

D. 3/4

JSTSE Previous Year Question Papers 2015-16 Ques No 17:

The value of 0.357 is 

Options:

A. 322/999

B. 322/990

C. 161/900

D. 161/450

JSTSE Previous Year Question Paper 2015-16 Ques No 18:

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

Options:

A. 396

B. 243

C. 126

D. 125

JSTSE Previous Year Question Papers 2015-16 Ques No 19:

The marked price of a radio is Rs. 3840. The shopkeeper allows us to discount of 10% and gains 8%. If no discount is allowed, his gains percent would be 

Options:

A. 18%

B. 20%

C. 25%

D. 30%

JSTSE Previous Year Question Paper 2015-16 Ques No 20:

If the median of the observations in ascending order 24, 25, 26, (x+2), (x+3), 30, 31, 34 is 27.5, then the value of x is 

Options:

A. 24

B. 25

C. 26

D. 27

JSTSE Previous Year Question Papers 2015-16 Ques No 21:

Mean of 9 observation was to be found 40. Later on, it was detected that an observation 21 was misread as 12. The correct mean is 

Options:

A. 39

B. 40

C. 41

D. 42

JSTSE Previous Year Question Paper 2015-16 Ques No 22:

If volume of a cube is V units³, the surface area is A units² and the length of a diagonal is D units. Then  

Options:

A. 6V = AD

B. 6√3V =AD

C. √3A = VD

D. 6D = AV

JSTSE Previous Year Question Papers 2015-16 Ques No 23:

In the figure, there are three semi-circles. The radii of both smaller semi-circles is equal. If the radius of the larger semi-circle is 22 cm, then the area of shaded region is

Options:

A. 363π/4 cm²

B. 121π cm²

C. 236.5π cm²

D. 363π cm²

JSTSE Previous Year Question Paper 2015-16 Ques No 24:

The value of 

Options:

A. 2

B. 3

C. 4

D. 5

JSTSE Previous Year Question Papers 2015-16 Ques No 25:

In the given figure, ∠AQB is equal to 

Options:

A. 18 degree

B. 20 degree

C. 22 degree

D. 24 degree

JSTSE Previous Year Question Paper 2015-16 Ques No 26:

Factors of (x⁶ – 1) are

Options:

A. (x + 1)(x – 1)(x⁴ + x² + 1)

B. (x + 1)(x – 1)(x⁴ – x² – 1)

C. (x + 1)(x – 1)(x² + 1)(x² – 1)

D. (x + 1)(x – 1)(x⁴ + x³ + x² + x + 1)

JSTSE Previous Year Question Papers 2015-16 Ques No 27:

How many sides does a regular polygon have if the measure of an exterior angle is 24 degree?

Options:

A. 12

B. 13

C. 15

D. 18

JSTSE Previous Year Question Papers 2015-16 Ques No 28:

In the figure, ABCD is a rhombus. AC and BD are its diagonals intersecting at O. If ∠OAB = 37 degree, then find the ∠OCD + ∠OBA is

Options:

A. 90 degree

B. 143 degree

C. 43 degree

D. 127 degree

JSTSE Previous Year Question Papers 2015-16 Ques No 29:

A hollow sphere with internal and external radius as 7 cm and 8 cm respectively is melted and recast into a cone with a height of 16 cm. The diameter of the base of the cone will be 

Options:

A. 26 cm

B. 6.5 cm

C. 13 cm

D. 10 cm

JSTSE Previous Year Question Papers 2015-16 Ques No 30:

In the given figure, AB || CD, value of x is  

Options:

A. 100 degree

B. 90 degree

C. 110 degree

D. 140  degree