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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.

45% of 760 + 35% of 380 = ?

Correct Answer: D [475]

Explanation:

342 + 133 = 475.

2.  
3/4 of 912 − 2/5 of 645 = ?

Correct Answer: E [426]

Explanation:

684 − 258 = 426.

3.  
√2116 + 17² − 12 × 14 = ?

Correct Answer: A [167]

Explanation:

46 + 289 − 168 = 167.

4.  
(1512 ÷ 18) × 6 − 199 = ?

Correct Answer: B [305]

Explanation:

1512 ÷ 18 = 84 → 84 × 6 = 504 → 504 − 199 = 305.

5.  
40% of ? = 236 + 164

Correct Answer: C [1,000]

Explanation:

40% of ? = 400 → ? = 400 × 100/40 = 1,000.

6.  
?² = 28 × 63

Correct Answer: B [42]

Explanation:

28 × 63 = 1764 = 42² → ? = 42.

7.  
799.92 ÷ 15.98 + 24.03 × 11.97 ≈ ?

Correct Answer: C [338]

Explanation:

800 ÷ 16 + 24 × 12 = 50 + 288 = 338.

8.  
59.87% of 1249.6 + 18.02² ≈ ?

Correct Answer: A [1,074]

Explanation:

60% of 1250 = 750; 18² = 324 → 1,074.

9.  
√1023.8 × 14.97 − 199.9 ≈ ?

Correct Answer: D [280]

Explanation:

√1024 = 32 → 32 × 15 − 200 = 280.

10.  
4199.6 ÷ 34.98 + 7.01 × 13.02 ≈ ?

Correct Answer: E [211]

Explanation:

4200 ÷ 35 = 120; 7 × 13 = 91 → 211.

11.  

Directions (11–15): Questions 11–13 – find the missing term. Questions 14–15 – find the term that is wrong or complete the series as asked.

What should come in place of the question mark (?) in the series?
7, 12, 22, 37, 57, ?

Correct Answer: D [82]

Explanation:

Differences 5, 10, 15, 20 → next +25 → 82.

12.  
(Use the directions above – Prelims Sectional Mock 1 – Numerical Ability, Q 11–13)
What should come in place of the question mark (?) in the series?
3, 7, 15, 31, 63, ?

Correct Answer: B [127]

Explanation:

Each term × 2 + 1 → 63 × 2 + 1 = 127.

13.  
(Use the directions above – Prelims Sectional Mock 1 – Numerical Ability, Q 11–13)
What should come in place of the question mark (?) in the series?
120, 60, 40, 30, 24, ?

Correct Answer: E [20]

Explanation:

120 ÷ 1, ÷ 2, ÷ 3, … → 120 ÷ 6 = 20.

14.  
Find the wrong number in the series.
2, 4, 10, 28, 83, 244

Correct Answer: C [83]

Explanation:

Rule × 3 − 2: 2, 4, 10, 28, 82, 244 → 83 is wrong.

15.  
What should come in place of the question mark (?) in the series?
3, 3, 6, 18, 72, ?

Correct Answer: A [360]

Explanation:

× 1, × 2, × 3, × 4 → next × 5 → 360.

16.  

Directions (16–20): Practice data (hypothetical). The table shows the number of books of three kinds sold by five shops in a month.

Shop Fiction Non-fiction Children
A 240 180 120
B 300 150 90
C 210 240 150
D 180 120 60
E 270 210 180
How many books in all did shop C sell?

Correct Answer: D [600]

Explanation:

210 + 240 + 150 = 600.

17.  
What is the average number of fiction books sold per shop?

Correct Answer: B [240]

Explanation:

(240 + 300 + 210 + 180 + 270) ÷ 5 = 1200 ÷ 5 = 240.

18.  
What is the ratio of non-fiction books sold by A to those sold by E?

Correct Answer: E [6 : 7]

Explanation:

180 : 210 = 6 : 7.

19.  
Children's books sold by E are what per cent more than children's books sold by A?

Correct Answer: C [50%]

Explanation:

(180 − 120) ÷ 120 × 100 = 50%.

20.  
Which shop has the highest share of children's books in its own total sales?

Correct Answer: E [E]

Explanation:

Shares: A 120/540 = 22.2%, B 16.7%, C 150/600 = 25%, D 16.7%, E 180/660 = 27.3% → E.

21.  

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

A number is first increased by 20% and then decreased by 25%. The result is 540. What was the number?

Correct Answer: A [600]

Explanation:

1.2 × 0.75 = 0.9 → number = 540 ÷ 0.9 = 600.

22.  
₹ 7,200 is divided among A, B and C in the ratio 2 : 3 : 4. How much does C get?

Correct Answer: B [₹ 3,200]

Explanation:

C = 4/9 × 7,200 = ₹ 3,200.

23.  
The average of five numbers is 48. When one number is removed, the average of the rest is 45. What number was removed?

Correct Answer: C [60]

Explanation:

240 − 180 = 60.

24.  
The ratio of the ages of A and B is 4 : 5. After 6 years it will be 5 : 6. What is A's present age (years)?

Correct Answer: D [24]

Explanation:

(4k + 6)/(5k + 6) = 5/6 → 24k + 36 = 25k + 30 → k = 6 → A = 24.

25.  
An article costing ₹ 1,200 is marked 75% above cost. Two successive discounts of 20% and 10% are given. What is the profit per cent?

Correct Answer: A [26%]

Explanation:

SP = 1,200 × 1.75 × 0.8 × 0.9 = 1,512 → profit 312 ÷ 1,200 = 26%.

26.  
What is the simple interest on ₹ 6,500 at 8% per annum for 3 years?

Correct Answer: E [₹ 1,560]

Explanation:

6,500 × 0.08 × 3 = ₹ 1,560.

27.  
What is the compound interest on ₹ 12,000 at 15% per annum for 2 years, compounded annually?

Correct Answer: E [₹ 3,870]

Explanation:

Two-year rate = 15 + 15 + 15 × 15/100 = 32.25% → 32.25% of 12,000 = ₹ 3,870.

28.  
A can do a work in 15 days and B in 10 days. In how many days can they finish it together?

Correct Answer: D [6 days]

Explanation:

LCM 30 units: A 2/day, B 3/day → 30 ÷ 5 = 6 days.

29.  
A pipe fills a tank in 12 hours and another empties it in 20 hours. If both are opened together, in how many hours is the empty tank filled?

Correct Answer: B [30 hours]

Explanation:

LCM 60: +5 − 3 = 2 units/h → 60 ÷ 2 = 30 hours.

30.  
A train 240 m long runs at 54 km/h. In how many seconds does it pass a pole?

Correct Answer: A [16 s]

Explanation:

54 km/h = 15 m/s → 240 ÷ 15 = 16 s.

31.  
A boat covers 60 km downstream in 4 hours and 33 km upstream in 3 hours. What is its speed in still water?

Correct Answer: C [13 km/h]

Explanation:

Down 60 ÷ 4 = 15, up 33 ÷ 3 = 11 → still water (15 + 11) ÷ 2 = 13 km/h.

32.  
A 60-litre mixture has milk and water in the ratio 3 : 1. If 12 litres of water is added, what is the new ratio of milk to water?

Correct Answer: C [5 : 3]

Explanation:

Milk 45, water 15 + 12 = 27 → 45 : 27 = 5 : 3.

33.  
The area of a semicircle is 1,232 cm². What is its perimeter (cm)? (Take π = 22/7.)

Correct Answer: D [144]

Explanation:

½ × 22/7 × r² = 1,232 → r² = 784 → r = 28; perimeter = πr + 2r = 88 + 56 = 144 cm.

34.  
A bag has 5 red, 3 blue and 2 green balls. One ball is drawn at random. What is the probability that it is red or green?

Correct Answer: B [7/10]

Explanation:

(5 + 2)/10 = 7/10.

35.  
A invests ₹ 12,000 for 12 months and B invests ₹ 18,000 for 8 months. Out of a profit of ₹ 9,000, what is A's share?

Correct Answer: E [₹ 4,500]

Explanation:

1,44,000 : 1,44,000 = 1 : 1 → A gets ₹ 4,500.

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