Direction: What approximate value should come in place of the question mark (?) in the following equation (Note: You are not expected to calculate the exact value)?

**A. ** 40,740

**B. ** 50,570

**C. ** 60,600

**D. ** 20,800

**E. ** 80,880

**Answer : ****Option D**

**Explaination / Solution: **

(40.0002)2 × 12.85

(40.0002)2 × 12.85

(40)2 × 13

1600 × 13

20,800

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Direction: What approximate value should come in place of the question mark (?) in the following equation (Note: You are not expected to calculate the exact value)?

**A. ** 6080

**B. ** 6800

**C. ** 7090

**D. ** 8200

**E. ** 7500

**Answer : ****Option C**

**Explaination / Solution: **

7777.009 – 596.999 – 89.989 = ?

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Direction: What approximate value should come in place of the question mark (?) in the following equation (Note: You are not expected to calculate the exact value)?

**A. ** 361

**B. ** 381

**C. ** 369

**D. ** 375

**E. ** 356

**Answer : ****Option C**

**Explaination / Solution: **

(25.01)2 – (15. 99)2 = ?

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Direction: What approximate value should come in place of the question mark (?) in the following question (Note: You are not expected to calculate the exact value)?

**A. ** 12000

**B. ** 12600

**C. ** 12500

**D. ** 11600

**E. ** 11000

**Answer : ****Option D**

**Explaination / Solution: **

7999.99 + 72 × 49.99 = ?

? = 8000 + 72 * 50 = 8000 + 3600

? = 11600 (approx.)

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Directions: What approximate values should come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value).

**A. ** 12500

**B. ** 15285

**C. ** 13625

**D. ** 11445

**E. ** 10555

**Answer : ****Option D**

**Explaination / Solution: **

? = 8044.986 + 3250.005 + 149.996

8044.986 + 3250.005 + 149.996 = ?

? = 8044.986 + 3250.005 + 149.996

? = 8045 + 3250 + 150

? = 11445

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Directions: What will come in the place of question mark (?) in the following question? (You do not have to calculate the exact value).

**A. ** 4200

**B. ** 3000

**C. ** 3500

**D. ** 4000

**E. ** 2500

**Answer : ****Option B**

**Explaination / Solution: **

? = 14.001 × 26.99 × 7.998

14.001 × 26.99 × 7.998 = ?

? = 14.001 × 26.99 × 7.998

? = 14 × 26 × 8

? = 3024

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Direction: What approximate value should come in place of the question mark (?) in the following question (Note: You are not expected to calculate the exact value)?

**A. ** 3200

**B. ** 4100

**C. ** 2700

**D. ** 3700

**E. ** 4500

**Answer : ****Option D**

**Explaination / Solution: **

23.999 × 9.004 × 16.997 = ?

23.999 × 9.004 × 16.997 = ?

? = 23.999 × 9.004 × 16.997

After rounding off the numbers , we get

? = 24 × 9 × 17

? = 3672

Thus, the required answer is 3700.

Hence, option D is correct.

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Direction: What approximate value should come in place of the question mark (?) in the following equation (Note: You are not expected to calculate the exact value)?

**A. ** 7

**B. ** 17

**C. ** 27

**D. ** 37

**E. ** 47

**Answer : ****Option C**

**Explaination / Solution: **

√(34.999 * 99.999 ÷ 5.045 + 750.0003 ÷ 24.999) = ?

√(34.999 * 99.999 ÷ 5.045 + 750.0003 ÷ 24.999) = ?

√(35 * 100 ÷ 5 + 750 ÷ 25) = ?

√(3500 * 5 + 30) = ?

√(700 + 30) = ?

√730 = ?

? = 27 (Approx)

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Directions: Study the following graph carefully to answer these questions.

**A. ** 27 : 53

**B. ** 54 : 29

**C. ** 29 : 54

**D. ** 53 : 27

**E. ** None of these

**Answer : ****Option C**

**Explaination / Solution: **

What is the ratio of the total population of State A for the years 2011, 2012 and 2013 together to the total population of State B for the years 2015, 2016 and 2017 together?

Total population of state A in the years 2011, 2012 and 2013 = 40 + 45 + 60 = 145

Total population of state B in the years 2015, 2016 and 2017 = 80 + 90 + 100 = 270

Required ratio = 145:270

= 29:54

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Directions: Study the following graph carefully to answer these questions.

**A. ** State B-2013

**B. ** State B-2012

**C. ** State A-2014

**D. ** State A-2015

**E. ** None of these

**Answer : ****Option A**

**Explaination / Solution: **

It is clear from the graph that the per cent rise in the population from the previous year was highest for state B in the year 2013 .

For which state and in which year was the percent rise in population from the previous year was the highest?

It is clear from the graph that the per cent rise in the population from the previous year was highest for state B in the year 2013 .

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