HP Maths Practice Set 4 | Interactive MCQ Mock Test

1. Simplify: 55 × 63 + 51 / 67 × 2

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A. 40 B. 40.5 C. 42.5 D. 43

2. If x × sqrt(0.0016) = 4, find x.

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A. 0.04 B. 4 C. 40 D. 100

3. If 60% of (x - y) = 40% of (x + y), what percent of x is y?

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A. 0.2 B. 0.25 C. 0.22 D. None of these

4. Ratio of the first and second is 8:9 and second and third is 3:4; if product of the first and third numbers is 2400 second number is?

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A. 40 B. 60 C. 45 D. 50

5. If 2^(2x+4) = 16, then x³ = ?

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A. 2 B. 4 C. 8 D. 16

6. Two numbers are respectively 20% and 50% more than a third number. These two numbers are in the ratio?

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A. 31-Dec-1899 B. 31-Dec-1899 C. 31-Dec-1899 D. 31-Dec-1899

7. Find the missing number in series: 2, 5, 11, 20, 32, 47, __

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A. 60 B. 65 C. 58 D. 62

8. 'A' purchased some oranges at total cost 1200. Sold 1/3 at 20% loss overall had 10% profit. What profit % on remaining?

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A. 0.16 B. 0.15 C. 0.22 D. 0.25

9. Shopkeeper sells goods at cost price but uses 900 gms for 1 kg. His gain percentage is?

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A. 0.09 B. 0.1 C. 0.11 D. 0.111

10. Two numbers in ratio 3:5; if increased by 10 each, ratio becomes 5:7. Find the numbers.

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A. 15, 25 B. 20, 30 C. 10, 20 D. 18, 30

11. Present age of Ram and Shyam is in ratio 5:4. After 3 years ratio becomes 11:9. Find Shyam's present age.

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A. 28 B. 27 C. 26 D. 24

12. A, B, and C start business with investments 3500, 2500, and 6000 respectively. Difference between shares of B and C is 1977. Find total annual income.

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A. 15620 B. 16240 C. 12770 D. 13180

13. If x + y = 18 and xy = 72, find (x)² + (y)².

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A. 120 B. 144 C. 180 D. 196

14. 36 laborers complete work in 14 days. How many more laborers needed to complete the work in 8 days?

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A. 29 B. 33 C. 27 D. 23

15. 'A' is 60% more efficient than 'B'. If 'A' takes 15 days, how many days will A and B together take?

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A. 13-Sep-25 B. 13-Aug-25 C. 13-Oct-25 D. 13-Jul-25

16. Solve equations: x^2 + 8x + 15 = 0; y^2 + 3y + 2=0. What is the relation between roots?

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A. x > y B. x ≤ y C. x ≥ y D. x < y

17. Rs. 2000 amount to Rs. 2600 in 5 years at simple interest. If rate increased by 3% amount becomes?

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A. 2900 B. 3600 C. 3200 D. 3000

18. Distance between points (-5,7) and (-1,3) is?

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A. 5 B. 6 C. 4√2 D. 7

19. If radius of a circle is decreased by 20%, percentage decrease in area is?

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A. 0.36 B. 0.32 C. 0.21 D. 0.42

20. In triangle with AB = AC, angle ABC=50°, AM perpendicular to BC, find angle MAB.

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A. 60° B. 40° C. 50° D. 30°

21. An aeroplane covers distance at 240 km/h in 5 hours. To cover same distance in 12 hours speed is?

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A. 300 km/h B. 360 km/h C. 700 km/h D. 720 km/h

22. Compound Interest on Rs. 1000 at 10% per annum for 2 years

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A. Rs. 1210 B. Rs. 210 C. Rs. 200 D. Rs. 190

23. Train covers 3750 km in 25 hours. Average speed?

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A. 140 km/h B. 175 km/h C. 150 km/h D. 130 km/h

24. Value of (-1)^1000?

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A. -1 B. 1 C. 1000 D. -1000

25. Arjun is twice as old as Shreya. Five years ago he was three times her age. Present ages?

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A. 10, 12 B. 5, 10 C. 15, 30 D. 12, 24

Himachal Pradesh Maths - Practice Mock Test Set 4

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