JKSSB Mathematics MCQs

1. Producers' total revenue will decrease if

A

the price rises and demand is elastic

B

income increases and the good is a normal good

C

the price falls and demand is elastic

D

income falls and the good is an inferior good.

Maths Statistical Assistant 2025 REPORT ERROR
Correct Answer: A
Explanation:

the price rises and demand is elastic

Correct Answered:

Wrong Answered:

2. The solution of y` + y=x+ 1 + e* will be

A

y = Ce⁻⁵ˣ+4 x

B

y = 2Ce⁻⁴ˣ + x - 1

C

y = Ce⁻²ˣ + 2x + 5

D

y = Ce* + x

Maths Statistical Assistant 2025 REPORT ERROR
Correct Answer: D
Explanation:

y = C e^ + x*

Correct Answered:

Wrong Answered:

3. Which ofthe following differential equations is NOT exact?

A

(y²-x)dx+(2xy)dy=0

B

(x²+y²)dx+(2xy)dy= 0

C

(2xy+y²)dx+(x²+2xy)dy=0

D

(3x²-y)dx+(3y²-x²)dy=0

Maths Statistical Assistant 2025 REPORT ERROR
Correct Answer: D
Explanation:

(3x² - y)dx + (3y² - x²)dy = 0

Correct Answered:

Wrong Answered:

4. The equation dy/dx + y = y² sinx is an example of:

A

Homogeneous equation

B

Exact equation

C

Bernoulli equation

D

Linear equation

Maths Statistical Assistant 2025 REPORT ERROR
Correct Answer: C
Explanation:

 Bernoulli equation

Correct Answered:

Wrong Answered:

5. ∫cot²xcosec⁴x dx is equal to

A

cot³x/3 + cosec⁵x/5

B

- cot³x/3 - cosec⁵x/5

C

cosec³x/3 - cot⁵x/5

D

- cosec³x/3 + cot⁵x/5

Maths Statistical Assistant 2025 REPORT ERROR
Correct Answer: B
Explanation:

–cot³x/3 – cosec⁵x/5

Correct Answered:

Wrong Answered:

6. F(x) = Sin¹x dx over the limits 0 to 1 is

A

Zero

B

2

C

27-1

D

π/2-1

Maths Statistical Assistant 2025 REPORT ERROR
Correct Answer: D
Explanation:

π/2 – 1

Correct Answered:

Wrong Answered:

7. Let f(x) = |sinx|, the set of points where f(x) is not differentiable over (-∞, ∞) is:

A

Empty

B

{nne Z}

C

{(2n+1/2) π|ηεZ}

D

{x ∈ R |sinx =1}

Maths Statistical Assistant 2025 REPORT ERROR
Correct Answer: B
Explanation:

{nπ∣n∈Z}

Correct Answered:

Wrong Answered:

8. The derivative of y = cot(x) - cosec(x) is:

A

- cosec²(x) + cosec(x)cot(x)

B

- cot²(x) + cosec²(x)

C

- cosec(x)cot(x) - cosec²(x)

D

cosec²(x) + cosec(x)cot(x)

Maths Statistical Assistant 2025 REPORT ERROR
Correct Answer: A
Explanation:

 –cosec²(x) + cosec(x)cot(x)

Correct Answered:

Wrong Answered:

9. Given f(x) =In f(x), which ofthe following statements about its concavity is correct?

A

The graph off(x) is concave upward for all x> 0

B

The graph off(x) has a point of inflection at x =1

C

The graph of f(x) is concave downward for all x>0

D

The function has no interval of concavity

Maths Statistical Assistant 2025 REPORT ERROR
Correct Answer: C
Explanation:

The graph of f(x) is concave downward for all x > 0

Correct Answered:

Wrong Answered:

10. The equation of the circle is x² + y2 - 6x + 8y+9=0. The equation ofthe tangent to the circle at the point (7, -4) is

A

x=7

B

y=-4

C

x+y = 3

D

x-y = 2

Maths Statistical Assistant 2025 REPORT ERROR
Correct Answer: A
Explanation:

x = 7

Correct Answered:

Wrong Answered:

11. The Quadrilateral PQRS has vertices at P = (1, 2), Q = (4 , -1), R = (7, 2), and S=(4, 5). It will be a

A

Parallelogram

B

Rectangle

C

Rhombus

D

Square

Maths Statistical Assistant 2025 REPORT ERROR
Correct Answer: D
Explanation:

Square

Correct Answered:

Wrong Answered:

12. A company produced a product using 5 units of labour and 3 units of capital, and the total cost was₹91. By using 6 units of labour and 2 units ofcapital, the cost was ₹ 88. Using the determinant method, the cost per unit of labour and capital (in - approximately) will be

A

5,7

B

10, 13

C

9, 15

D

13, 17

Maths Statistical Assistant 2025 REPORT ERROR
Correct Answer: B
Explanation:

10, 13

Correct Answered:

Wrong Answered:

13. The points A (1, 2), В (3, 5), C (k, 6) form a triangle of area 5 square units. The possible values of k is.

A

k=2 or k=7

B

k= 2/5 or k =-½

C

k= 1/3 or k =7

D

k=2/5 or k =7

Maths Statistical Assistant 2025 REPORT ERROR
Correct Answer: C
Explanation:

 k = 1/3 or k = 7

Correct Answered:

Wrong Answered:

14. Out of 500 residents in a township, 320 subscribe to Newspaper A, 180 subscribe to Newspaper B, 150 subscribe to both A and B. Find how many residents subscribe only to Newspaper B.

A

30

B

130

C

150

D

180

Maths Statistical Assistant 2025 REPORT ERROR
Correct Answer: A
Explanation:

30

Correct Answered:

Wrong Answered:

15. Suppose A, B, and C are subsets of a universal set X. Which one of the following set identities is NOT universally valid?

A

n(AUB) = n(A-B)-n(A)+n(AnB)

B

n(A-B) = n(A)-n(AnB)

C

An(BUC)=(ANB)U(ANc)

D

AX(BnC)=(AXB)n(AXC)

Maths Statistical Assistant 2025 REPORT ERROR
Correct Answer: A
Explanation:

n(A ∪ B) = n(A − B) − n(A) + n(A ∩ B) is NOT universally valid.

Correct Answered:

Wrong Answered:

16. Two goods trains, each 500 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one.

A

12 sec

B

24 sec

C

48 sec

D

60 sec

Mathematics - Speed & Distance Veterinary Pharmacist 2025 REPORT ERROR
Correct Answer: B
Explanation:

Relative speed = 75 km/hr = 75?(5/18)=20.83 m/s. Distance=500m. Time=500/20.83?24 sec.

Correct Answered:

Wrong Answered:

17. Consider the following statements: I. A 10% increase in a number followed by a 10% decrease in the result returns the original number. II. 50% of 200 is 100. III. If a number is increased by 20%, then decreased by 20%, the final result is less than the original number. IV. 200% increase means tripling the number.

A

Only I and II

B

Only II and III

C

Only III and IV

D

Only II, III, and IV

Mathematics - Percentage Veterinary Pharmacist 2025 REPORT ERROR
Correct Answer: D
Explanation:

I is false, II is correct, III is correct (multiplicative effect), IV is correct (200% increase = original + 2?original).

Correct Answered:

Wrong Answered:

18. Match the mathematical concepts with their corresponding formulas or properties.

A

1-iii, 2-iv, 3-i, 4-v, 5-ii

B

1-ii, 2-i, 3-iv, 4-iii, 5-v

C

1-v, 2-iii, 3-ii, 4-i, 5-iv

D

1-iv, 2-v, 3-iii, 4-ii, 5-i

Mathematics - Matching Veterinary Pharmacist 2025 REPORT ERROR
Correct Answer: A
Explanation:

Compound Interest ? A=P(1+R/100)^n, Trigonometry ? sin??+cos??=1, Speed Distance Time ? (Speed?Time), Profit & Loss ? (SP-CP)/CP?100, Simple Interest ? (P?R?T)/100.

Correct Answered:

Wrong Answered:

19. If the price of a product increases by 25%, by what percentage must a consumer reduce the consumption to maintain the same expenditure?

A

20%

B

25%

C

30%

D

33.33%

Maths - Percentage Veterinary Pharmacist 2025 REPORT ERROR
Correct Answer: A
Explanation:

To offset a 25% rise, reduction = (25/125) * 100 = 20%.

Correct Answered:

Wrong Answered:

20. If the radius of a sphere is increased by 5%, then the volume will be increased approximately by

A

15.76%

B

23.75%

C

29.30%

D

35.64%

Mensuration Naib Tehsildar 2018 VERIFIED
Correct Answer: A
Explanation:

15.76

Correct Answered:

Wrong Answered:

21. A wire is bent into the form of a square of side 28.5 cm. The wire is straightened and bent into the form of a circle then the radius of the circle so formed is

A

17.5 cm

B

19.25 cm

C

18.14 cm

D

12.56 cm

Mensuration Naib Tehsildar 2018 REPORT ERROR
Correct Answer: C
Explanation:

Radius ? 18.14 cm.

Correct Answered:

Wrong Answered:

22. The radius of a sphere, if its volume is 54.44 cm? is approximately

A

1.3 cm

B

4.2 cm

C

1.4 cm

D

2.4 cm

Mensuration Naib Tehsildar 2018 REPORT ERROR
Correct Answer: C
Explanation:

Radius ? 1.4 cm.

Correct Answered:

Wrong Answered:

23. If the total surface area of a cube is 384 sq. m then its volume is

A

1331 m?

B

512 m?

C

81 m?

D

64 m?

Mensuration Naib Tehsildar 2018 REPORT ERROR
Correct Answer: B
Explanation:

Volume = 512 m?.

Correct Answered:

Wrong Answered:

24. A man walking at the rate of 18 km per hour crosses a square field diagonally in 9 seconds. The area of the field is

A

200 sq.m

B

1012.5 sq.m

C

198.6 sq.m

D

1200 sq.m

Mensuration Naib Tehsildar 2018 REPORT ERROR
Correct Answer: B
Explanation:

Area = 1012.5 sq.m.

Correct Answered:

Wrong Answered:

25. The volume of a sphere is 4851 cm?, then its diameter is

A

10.5 cm

B

21 cm

C

19 cm

D

17 cm

Mensuration Naib Tehsildar 2018 REPORT ERROR
Correct Answer: B
Explanation:

Diameter = 21 cm.

Correct Answered:

Wrong Answered:

26. A water tank contains 3235 litres of water. During a day 695 litres 532 ml. of water is pumped out from the tank. How much water is left in the tank?

A

25394.68 litres

B

253.9648 ml

C

2539648 ml

D

2539.468 litres

Arithmetic Naib Tehsildar 2018 REPORT ERROR
Correct Answer: D
Explanation:

Remaining water = 2539.468 litres.

Correct Answered:

Wrong Answered:

27. 0.2 metres is the height of water in a cylindrical container of radius `r` cm. What is the height of this quantity of water if it is poured into a cylindrical container of radius `4r` cm?

A

0.125 metres

B

1.25 cm

C

12.5 cm

D

2.35 cm

Mensuration Naib Tehsildar 2018 VERIFIED
Correct Answer: B
Explanation:

Step 1: Convert everything into consistent units

Height of water in first cylinder:

h1=0.2 m=20 cmh_1 = 0.2 , ext{m} = 20 , ext{cm}

So, in centimetres:

  • First cylinder: height = 20 cm20 , ext{cm}, radius = r cmr , ext{cm}.

  • Second cylinder: radius = 4r cm4r , ext{cm}.

Step 2: Volume of water in first cylinder

V=πr2h1V = pi r^2 h_1 V=πr2(20)=20πr2 cm3V = pi r^2 (20) = 20pi r^2 , ext{cm}^3

Step 3: Volume in second cylinder

Let the new height be h2 cmh_2 , ext{cm}.

V=π(4r)2h2=π(16r2)h2=16πr2h2V = pi (4r)^2 h_2 = pi (16r^2) h_2 = 16pi r^2 h_2

Step 4: Equating volumes

20πr2=16πr2h2


20=16h220 = 16 h_2 h2=2016=1.25 cmh_2 = frac{20}{16} = 1.25 , ext{cm}

Step 5: Convert back to metres

1.25 cm=0.0125 m1.25 , ext{cm} = 0.0125 , ext{m}

✅ Final Answer:
The height of water in the larger cylinder is 0.0125 metres.

Correct Answered:

Wrong Answered:

28. If the diameter of the internal and external surface of a hollow hemispherical shell are 12 cm and 8 cm respectively, then the volume of the solid part in the hemisphere shell is

A

196 ?/3 cm?

B

304 ?/3 cm?

C

140 ?/3 cm?

D

133 ?/3 cm?

Mensuration Naib Tehsildar 2018 REPORT ERROR
Correct Answer: B
Explanation:

Volume = 304?/3 cm?.

Correct Answered:

Wrong Answered:

29. A right circular cone is 27 cm high and the radius of its base is 2 cm. The cone is melted and recast into a sphere. The diameter of the sphere is

A

4 cm

B

6 cm

C

8 cm

D

3 cm

Mensuration Naib Tehsildar 2018 VERIFIED
Correct Answer: B
Explanation:

The diameter of the sphere is 6 cm.

Correct Answered:

Wrong Answered:

30. Area of trapezium is 500 sq. cm. Length of one of the parallel sides is 20 cm and the distance between the parallel sides is 10 cm then the length of other parallel side is

A

80 cm

B

48 cm

C

98 cm

D

60 cm

Mensuration Naib Tehsildar 2018 REPORT ERROR
Correct Answer: D
Explanation:

Other side = 60 cm.

Correct Answered:

Wrong Answered:

31. The perimeter of a triangle is 24 cm and inradius of the triangle is 3.5 cm, then the area of the triangle is

A

35 sq. cm

B

49 sq. cm

C

42 sq. cm

D

21 sq. cm

Geometry Naib Tehsildar 2018 REPORT ERROR
Correct Answer: C
Explanation:

Area = 42 sq.cm.

Correct Answered:

Wrong Answered:

32. A floor is 6 m long and 3 m wide. A square carpet of sides 2 m is laid on the floor. Then the area of the floor that is un-carpeted is:

A

10 sq.m

B

12 sq.m

C

14 sq.m

D

8 sq.m

Mensuration Naib Tehsildar 2018 REPORT ERROR
Correct Answer: B
Explanation:

Area left = 12 sq.m.

Correct Answered:

Wrong Answered:

33. The ratio of the length and breadth of a plot is 5:4, if the breadth is 60 m less than the length, then the perimeter of the plot is

A

1080 m

B

1198 m

C

890 m

D

1280 m

Mensuration Naib Tehsildar 2018 REPORT ERROR
Correct Answer: A
Explanation:

Correct perimeter = 1080 m.

Correct Answered:

Wrong Answered:

34. A fruit seller bought 47kg 500g of mangoes from one garden, 64kg 900g of mangoes from another garden and 55kg 250g of mangoes from the third garden. If he sold 30kg 750g mangoes, then how many mangoes does he have now?

A

136kg 900g

B

167kg 750g

C

125kg 500g

D

154kg 150g

Maths - Arithmetic Naib Tehsildar 2018 REPORT ERROR
Correct Answer: B
Explanation:

Total = 167kg 750g.

Correct Answered:

Wrong Answered:

35. A hemisphere has radius 10 cm. Find its volume. (Take π = 3.14)

A

1047.2 cm?

B

2093.3 cm?

C

3141.6 cm?

D

4188.8 cm?

Mensuration Data Entry Operator 2025 REPORT ERROR
Correct Answer: B
Explanation:

Volume = 2/3?r? = 2093.3 cm?.

Correct Answered:

Wrong Answered:

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