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JSTSE Previous Year Question Papers 2013-14 Ques No 1:

If (a + b + c) = 0, then the value of (b + c)²/bc + (c + a)²/ca + (a + b)²/ab is

Options:

A. 0

B. 1

C. 2

D. 3

JSTSE Previous Year Question Papers 2013-14 Ques No 2:

If x² – 5x + 1 = 0, then the value of x² + 1/x² is

Options:

A. 20

B. 27

C. 25

D. -25

JSTSE Previous Year Question Papers 2013-14 Ques No 3:

Factors of (3m² – 2m)(6 – 3m² + 2m) – 5 are 

Options:

A. (3m + 1)(3m – 5)(m – 1)(m + 1)

B. –(3m + 1)(3m – 5)(m – 1)(m + 1)

C. (3m – 1)(3m + 5)(m – 1)(m + 2)

D. –(3m – 1)(3m – 5)(m – 2)(m + 1)

JSTSE Previous Year Question Papers 2013-14 Ques No 4:

If (x⁶y^-2/x^-2y³)^-1/2 + (x^-1y²/x²y^-2)^-1/3 = x^ay^b, then the value of (a + b + 1) is

Options:

A. 0

B. 2

C. -1

D. –2

JSTSE Previous Year Question Paper 2013-14 Ques No 5:

In the figure, O is the centre of the circle and OA = CD, then the value of ∠CPD is

Options:

A. 45 degree

B. 30 degree

C. 70 degree

D. 60 degree

JSTSE Previous Year Question Papers 2013-14 Ques No 6:

If a polygon has 27 diagonals, then the number of the sides of the polygon is

Options:

A. 9

B. 10

C. 11

D. 12

JSTSE Previous Year Question Paper 2013-14 Ques No 7:

If x² + 7ax + 40 and x² + 2ax – 60 have a common factor, then the value of ‘a’ is

Options:

A. ±1

B. ±2

C. ±3

D. ±4

JSTSE Previous Year Question Papers 2013-14 Ques No 8:

If 64^2x-1 = 4 x 8^x-5, then the value of x is

Options:

A. 17/9

B. 17/10

C. 20/9

D. 9/17

JSTSE Previous Year Question Paper 2013-14 Ques No 9:

If x = 2^2/3 + 2^1/3, then 

Options:

A. x³ – 6x – 6 = 0

B. x³ + 6x – 6 = 0

C. x³ – 6x + 6 = 0

D. x³ + 6x + 6 = 0

JSTSE Previous Year Question Paper 2013-14 Ques No 10:

In the figure, the area of the shaded region is 

Options:

A. 77 cm²

B. 154 cm²

C. 38.5 cm²

D. 90 cm²

JSTSE Previous Year Question Papers 2013-14 Ques No 11:

In the figure, AB = 7.8 cm BC = 5.2 cm and CA = 6.1 cm, then angles x, y and z in ascending orders are

Options:

A. x < y < z

B. x > y > z

C. y < z < x

D. x < z < y

JSTSE Previous Year Question Paper 2013-14 Ques No 12:

if a = b²x, b = c³y and c = a³z, then find the value of xyz

Options:

A. 27

B. 1/27

C. 9

D. 1/9

JSTSE Previous Year Question Papers 2013-14 Ques No 13:

If 12, 15, 17, 18, x+2, x+4, 25, 30, 31, 32 are in ascending order and median of the observations is 22, then the value of x is

Options:

A. 20

B. 19

C. 22

D. 23

JSTSE Previous Year Question Paper 2013-14 Ques No 14:

The value of 1/(1 – x) + 1/(1 + x) + 2/(1 + x²) + 4/(1 + x⁴) + 8/(1 + x⁸) is

Options:

A. 16/(1 + x¹⁶)

B. 8/(1 – x¹⁶)

C. 16/(1 – x¹⁶)

D. 32/(1 + x¹⁸)

JSTSE Previous Year Question Papers 2013-14 Ques No 15:

In the figure ABC, is an equilateral triangle of side 8 cm. Area of the shaded region is

Options:

A. 32 – 8π/3 cm²

B. 32 – 16π/3 cm²

C. 16√3 – 8π cm² 

D. 32√3 – 16π cm²

JSTSE Previous Year Question Paper 2013-14 Ques No 16:

If x + y = 8, xy = 15, then the value of x⁴ + x²y² + y⁴ is

Options:

A. 34

B. 1156

C. 931

D. 1381

JSTSE Previous Year Question Papers 2013-14 Ques No 17:

The coefficient of x⁷ in the expansion of (x² – x + 1)² + (x² + x + 1)² is

Options:

A. 6

B. 5

C. 4

D. 3

JSTSE Previous Year Question Paper 2013-14 Ques No 18:

Mean of 9 observation was found to be 35. Later it on, it was detected that an observation 80 was misread as 8. The correct mean is 

Options:

A. 43

B. 42

C. 44

D. 45

JSTSE Previous Year Question Papers 2013-14 Ques No 19:

If (3√2 + 2√3)/(4√2 + 3√3) = a + b√6, then the values of a and b are

Options:

A. a = -6/5 and b = 1/5

B. a = 1/5 and b = 6/5

C. a = 6/5 and b = 1/5

D. a = 6/5 and b = -1/5

JSTSE Previous Year Question Paper 2013-14 Ques No 20:

The value of 

Options:

A. 1

B. 5

C. √5

D. √8

JSTSE Previous Year Question Papers 2013-14 Ques No 21:

A train of length 240 m crosses a platform in 20 seconds. If the speed of the train is 72km/hr, then the length of the platform is

Options:

A. 260 m

B. 160 m

C. 180 m

D. 240 m

JSTSE Previous Year Question Paper 2013-14 Ques No 22:

If (25p + 14q)/(5p + 7q) = 8/3, then p : q is

Options:

A. 3 : 5

B. 2 : 5

C. 2 : 3

D. 5 : 4

JSTSE Previous Year Question Papers 2013-14 Ques No 23:

A farmer can plough a farm in 10 days by working 5 hours a day. In how many days 5 farmers plough 10 such farms working at 5 hours a day?

Options:

A. 20 days

B. 25 days

C. 15 days

D. 24 days

JSTSE Previous Year Question Paper 2013-14 Ques No 24:

The difference between the sides at right angle in a right angled triangle is 14 cm. The area of the triangle is 120 cm². The perimeter of the triangle is 

Options:

A. 50

B. 36

C. 60

D. 34

JSTSE Previous Year Question Paper 2013-14 Ques No 25:

Measure of an angle which is 18^o2’10” less than its complement is  

Options:

A. 57^o71’50”

B. 50^o71’57”

C. 71^o57’50”

D. 71^o70’9”

JSTSE Previous Year Question Papers 2013-14 Ques No 26:

The ratio of the volumes of two cubes is 729 : 1331. The ratio of their total surface areas is 

Options:

A. 9 : 11

B. 729 : 1331 

C. 81 : 121

D. 27 : 121

JSTSE Previous Year Question Paper 2013-14 Ques No 27:

The parallel side of a trapezium are 24 cm and 20 cm. The distance between them is 7 cm. Find the radius of a circle whose area is equal to the area of the trapezium

Options:

A. 7 cm

B. 14 cm

C. 9 cm

D. 28 cm

JSTSE Previous Year Question Papers 2013-14 Ques No 28:

The cost of leveling a rectangular field at the rate of 85 paise per square meter is Rs. 624.75. Find the perimeter if its sides are in the ratio 5 : 3

Options:

A. 56 cm

B. 32 cm

C. 24 cm

D. 112 cm

JSTSE Previous Year Question Paper 2013-14 Ques No 29:

If x = (-23) + 22 + (-23) + 22 + … to 40 terms and y = 11 + (-10) + 11 + (-10) + … to 20 terms, then the value of (y – x)

Options:

A. 30

B. 40

C. 20

D. 10

JSTSE Previous Year Question Papers 2013-14 Ques No 30:

The value of 0.235 is

Options:

A. 233/900

B. 233/990

C. 235/999

D. 235/990