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1.  

Directions (1–10): What will come in place of the question mark (?) in the following questions? In questions 7–10 find the approximate value.

65% of 840 − 28% of 450 = ?

Correct Answer: C [420]

Explanation:

546 − 126 = 420.

2.  
5/8 of 1176 + 4/7 of 336 = ?

Correct Answer: D [927]

Explanation:

735 + 192 = 927.

3.  
23² − √3481 + 9 × 16 = ?

Correct Answer: A [614]

Explanation:

529 − 59 + 144 = 614.

4.  
(2736 ÷ 24) × 5 + 86 = ?

Correct Answer: B [656]

Explanation:

2736 ÷ 24 = 114 → 570 + 86 = 656.

5.  
125% of ? = 450 + 175

Correct Answer: E [500]

Explanation:

1.25 × ? = 625 → ? = 500.

6.  
? × 15 = 35% of 1500

Correct Answer: C [35]

Explanation:

35% of 1500 = 525 → 525 ÷ 15 = 35.

7.  
1500.2 ÷ 29.96 + 13.03² ≈ ?

Correct Answer: E [219]

Explanation:

1500 ÷ 30 = 50; 13² = 169 → 219.

8.  
34.98% of 2399.7 − 21.02 × 18.97 ≈ ?

Correct Answer: A [441]

Explanation:

35% of 2400 = 840; 21 × 19 = 399 → 441.

9.  
∛3374.6 × 23.98 + 99.7 ≈ ?

Correct Answer: B [460]

Explanation:

∛3375 = 15 → 15 × 24 + 100 = 460.

10.  
6299.8 ÷ 44.97 − 8.98 × 6.03 ≈ ?

Correct Answer: D [86]

Explanation:

6300 ÷ 45 = 140; 9 × 6 = 54 → 86.

11.  

Directions (11–15): Find the missing term (11–13, 15) or the wrong term (14).

What should come in place of the question mark (?) in the series?
6, 17, 39, 83, 171, ?

Correct Answer: D [347]

Explanation:

× 2 + 5 each time → 171 × 2 + 5 = 347.

12.  
What should come in place of the question mark (?) in the series?
2, 5, 11, 20, 32, ?

Correct Answer: E [47]

Explanation:

Differences 3, 6, 9, 12 → next +15 → 47.

13.  
What should come in place of the question mark (?) in the series?
3, 9, 5, 15, 11, ?

Correct Answer: C [33]

Explanation:

× 3 and − 4 take turns: 11 × 3 = 33.

14.  
Find the wrong number in the series.
1, 4, 13, 41, 121, 364

Correct Answer: B [41]

Explanation:

× 3 + 1: 1, 4, 13, 40, 121, 364 → 41 is wrong.

15.  
What should come in place of the question mark (?) in the series?
4, 5, 9, 18, 34, ?

Correct Answer: A [59]

Explanation:

Differences 1², 2², 3², 4² → next +5² → 59.

16.  

Directions (16–20): Practice data (hypothetical). The bar chart shows the number of cars (in thousands) produced by three companies K, L and M.

What is the total production (thousand) of company L in the four years?

Correct Answer: D [183]

Explanation:

35 + 42 + 50 + 56 = 183.

17.  
By what per cent did company M's production rise from 2021 to 2024?

Correct Answer: A [80%]

Explanation:

(54 − 30) ÷ 30 × 100 = 80%.

18.  
What is the average yearly production (thousand) of company K?

Correct Answer: C [50.5]

Explanation:

202 ÷ 4 = 50.5.

19.  
What is the ratio of K's production in 2022 to M's production in 2023?

Correct Answer: E [16 : 15]

Explanation:

48 : 45 = 16 : 15.

20.  
By how many thousand did K's total production over the four years exceed M's?

Correct Answer: B [37]

Explanation:

K 202, M 165 → 37 thousand.

21.  

Directions (21–35): Answer the following questions.

In an election between two candidates, the winner got 58% of the valid votes and won by 1,440 votes. How many valid votes were cast?

Correct Answer: B [9,000]

Explanation:

Margin = 58% − 42% = 16% = 1,440 → total = 9,000.

22.  
The incomes of A and B are in the ratio 7 : 5 and their expenditures in the ratio 3 : 2. If each saves ₹ 6,000, what is A's income?

Correct Answer: C [₹ 42,000]

Explanation:

7x − 3y = 6,000 and 5x − 2y = 6,000 → x = 6,000, y = 12,000 → A = 7 × 6,000 = ₹ 42,000.

23.  
The average weight of 24 students is 40 kg. When the teacher's weight is included, the average rises by 1 kg. What is the teacher's weight (kg)?

Correct Answer: D [65]

Explanation:

25 × 41 − 24 × 40 = 1,025 − 960 = 65 kg.

24.  
The sum of the ages of a father and his son is 56 years. Four years ago the father was three times as old as the son. What is the father's present age?

Correct Answer: A [40 years]

Explanation:

f + s = 56, f − 4 = 3(s − 4) → s = 16, f = 40.

25.  
An article sold for ₹ 1,320 gives a loss of 12%. At what price should it be sold to gain 10%?

Correct Answer: E [₹ 1,650]

Explanation:

CP = 1,320 ÷ 0.88 = 1,500 → SP = 1,500 × 1.1 = ₹ 1,650.

26.  
A sum doubles itself in 8 years at simple interest. What is the rate of interest per annum?

Correct Answer: E [12.5%]

Explanation:

Interest = principal in 8 years → rate = 100 ÷ 8 = 12.5%.

27.  
The difference between compound interest and simple interest on a sum for 2 years at 5% per annum is ₹ 50. What is the sum?

Correct Answer: C [₹ 20,000]

Explanation:

Difference = P(r/100)² → P = 50 ÷ 0.0025 = ₹ 20,000.

28.  
16 men working 6 hours a day finish a work in 21 days. In how many days will 24 men working 7 hours a day finish it?

Correct Answer: B [12 days]

Explanation:

Man-hours 16 × 6 × 21 = 2,016 → 2,016 ÷ (24 × 7) = 12 days.

29.  
Pipes A and B fill a tank in 24 minutes and 36 minutes; pipe C empties the full tank in 72 minutes. If all three are opened together, how long does the empty tank take to fill?

Correct Answer: A [18 minutes]

Explanation:

LCM 72: 3 + 2 − 1 = 4 units/min → 72 ÷ 4 = 18 minutes.

30.  
A car covers 360 km in 6 hours. By how much must it increase its speed (km/h) to cover the same distance in 4.5 hours?

Correct Answer: D [20 km/h]

Explanation:

80 − 60 = 20 km/h.

31.  
Two trains of lengths 150 m and 130 m run in opposite directions at 50 km/h and 40 km/h. In how many seconds do they cross each other?

Correct Answer: C [11.2 s]

Explanation:

Relative speed 90 km/h = 25 m/s → 280 ÷ 25 = 11.2 s.

32.  
Tea at ₹ 150 per kg is mixed with tea at ₹ 190 per kg to get a mixture worth ₹ 166 per kg. In what ratio are they mixed?

Correct Answer: B [3 : 2]

Explanation:

Alligation: (190 − 166) : (166 − 150) = 24 : 16 = 3 : 2.

33.  
The perimeter of a rectangle is 46 cm and its length is 15 cm. What is its area (cm²)?

Correct Answer: E [120]

Explanation:

Breadth = 23 − 15 = 8 → area = 120 cm².

34.  
Two dice are thrown together. What is the probability that the sum of the numbers is 9?

Correct Answer: D [1/9]

Explanation:

(3,6), (4,5), (5,4), (6,3) → 4/36 = 1/9.

35.  
In how many ways can 3 books be chosen from 7 different books?

Correct Answer: A [35]

Explanation:

⁷C₃ = 35.

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