HP Maths Practice Set 6 | Interactive MCQ Mock Test

1. Ram bought 2 shirts for ₹750 each. He gave a ₹1000 note. How much balance should the shopkeeper return?

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A. 250 B. 500 C. 1500 D. 0

2. You fill 2 bottles with 1 litre each in 5 minutes. How many minutes will it take to fill 10 bottles?

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A. 20 minutes B. 25 minutes C. 30 minutes D. 35 minutes

3. The seed rate of wheat per hectare is approximately

Maths 📄 Technical Assistant Gr-I(Field) (2025)

A. 20-30 kg B. 50-75 kg C. 100-125 kg D. 150-175 kg

4. Learning Mathematics may help learning Physics is example of?

Maths 📄 HPTET (2025)

A. Positive transfer B. Negative transfer C. Zero transfer D. None

5. What is the sum of all the interior angles of a polygon with ‘n’ sides?

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A. (n–1) 360° B. (n–2) 180° C. (n+1) 180° D. None of these

6. What is the length of diagonal of a rectangular field having dimensions 4 cm × 3 cm?

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A. 5 cm B. 7 cm C. 1 cm D. 4 cm

7. Find the value of k when ‘–2’ is the root of the quadratic equation 2x² – x + k = 0.

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A. 10 B. –10 C. 8 D. 9

8. Find the smallest number which should be multiplied to 2645 to get a perfect square.

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A. 5 B. 10 C. 23 D. None

9. The area of minor segment of a circle is –

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A. πr²θ/360° B. 2πr² C. 2πrθ/360° D. None

10. Find the value of tan48° × tan23° × tan42° × tan67°.

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A. 0 B. 1 C. 4 D. 3

11. If n = 7 and r = 3, then what is the value of ⁷C₃?

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A. 35 B. 210 C. 120 D. None

12. If sum of two natural numbers is 95 and one exceeds the other by 15, find the numbers.

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A. 40, 55 B. 45, 50 C. 50, 48 D. None

13. Find the value of ∫ eˣ ( f(x) + f′(x) ) dx.

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A. f′(x) + c B. f(x) + c C. eˣ f(x) + c D. eˣ f′(x) + c

14. For the quadratic polynomial 6x² – 7x – 3, the product of roots will be –

Maths 📄 HPTET (2025)

A. –6/7 B. 7-Jun-25 C. –1/2 D. 2-Jan-25

15. Find the remainder when x³ – ax² + 6x – a is divided by (x – a).

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A. 3a B. 5a C. 7a D. 7a²

16. Find the distance between the points (a, –a) and (–a, a).

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A. 8a B. 2√2 a C. 4√a D. None of the above

17. Find the HCF of 243, 329 and 670.

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A. 21 B. 1 C. 5 D. 243

18. Find the product of mode and median for the data 6, 3, 9, 5, 1, 2, 3, 6, 5, 1

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A. 6 B. 9 C. 3 D. None

19. Find the 30th term of the A.P. 10, 7, 4, …

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A. -77 B. 40 C. -147 D. None

20. The expanded form of 27x³ – 64y³ is

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A. (3x+4y)(9x²−12xy+16y²) B. (3x−4y)(9x²+12xy+16y²) C. (3x−4y)³ D. None

21. If a dice is thrown twice, probability of doublet?

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A. 5-Jan-25 B. 6-Jan-25 C. 1-Jul-36 D. None

22. Find the value of x and y from figure

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A. 60°, 40° B. 45°, 90° C. 45°, 45° D. None

23. Find the value of 10y(6y+21) ÷ 5(2y+7)

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A. 10y B. 6y C. y D. 3y+7

24. A chalk contains Ca:C:O = 10:3:12. Find % of carbon

Maths 📄 HPTET (2025)

A. 0.1 B. 0.4 C. 0.48 D. None

25. A sum of money triples in 10 years at S.I. Find rate

Maths 📄 HPTET (2025)

A. 0.1 B. 0.2 C. 0.05 D. None

Himachal Pradesh Maths - Practice Mock Test Set 6

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