Unit 6: Numerical Ability - Practice Quiz

1 What is ?

2 What is ?

3 What is the value of ?

4 What is ?

5 What is of ?

6 Estimate by rounding each number to the nearest hundred.

7 Estimate by rounding each number to the nearest ten.

8 Which whole number is closest to ?

9 Which decimal is the best estimate of ?

10 What is the best estimate of ?

11 What is the next number in the sequence ?

12 Which number does not belong with the others?

13 A whole number divisible by is called what?

14 Three pencils cost rupees in total. If all pencils have the same price, what is the cost of one pencil?

15 Which fraction is the greatest?

16 A shop sold books on Monday, on Tuesday, on Wednesday, and on Thursday. On which day were the most books sold?

17 The numbers of students in four clubs are: Art , Music , Science , and Sports . How many students are in the Science club?

18 A student scored , , and marks in three tests. What is the average score?

19 A survey recorded favorite fruits as follows: Apple , Banana , Mango , and Orange . How many more people chose Mango than Orange?

20 The temperatures from Monday to Friday were , , , , and . What was the highest temperature?

21 A laptop marked at is sold at a discount. An sales tax is then applied to the discounted price. What is the final price?

22 Evaluate .

23 A factory produces units in one month. Production increases by the next month and then decreases by in the third month. How many units are produced in the third month?

24 The average of eight numbers is . If the sum of seven of the numbers is , what is the eighth number?

25 What is the smallest positive integer that must be added to to make the result divisible by ?

26 Estimate by rounding each number to the nearest convenient integer.

27 Which value is the best estimate of ?

28 In a survey, out of participants selected a particular option. Approximately what percentage of participants selected it?

29 What is the best estimate of to the nearest tenth?

30 A shopper buys items at each, items at each, and items at each. Which amount is closest to the total cost?

31 The present ages of two people are in the ratio . After years, their ages will be in the ratio . What is the sum of their present ages?

32 Worker A can complete a job in days, while Worker B can complete it in days. How long will they take working together at constant rates?

33 A train m long passes a pole in seconds. At the same speed, how long will it take to completely pass a platform m long?

34 Find the next number in the sequence:

35 A -litre solution contains salt. How much water must evaporate so that the solution becomes salt?

36 A company's quarterly revenue was: Q1 lakh, Q2 lakh, Q3 lakh, and Q4 lakh. By what percentage did revenue increase from Q1 to Q4?

37 A school records the following results: Section A has students with an average score of , Section B has students with an average of , and Section C has students with an average of . What is the overall average score?

38 Monthly production data are: January units, February units, March units, and April units. What was the average monthly production?

39 A household's annual budget is . Housing accounts for and transportation accounts for . How much more is spent on housing than on transportation?

40 A quality report shows: Machine X produced items with defects, Machine Y produced with defects, Machine Z produced with defects, and Machine W produced with defects. Which machine had the lowest defect rate?

41 What are the last three digits of ?

42 Evaluate

43 Evaluate

44 How many trailing zeros does the integer have in its decimal representation?

45 Let . Which expression equals ?

46 What is the nearest integer to ?

47 Which is the best approximation to ?

48 Let where is the Euler-Mascheroni constant. Which best estimates , where ?

49 Newton's method for is Starting with , which is the best approximation after two iterations?

50 Positive measurements and are each rounded to the nearest . Which interval contains every possible value of and is the tightest among the choices?

51 What is the least positive integer such that leaves remainders , , and when divided by , , and , respectively?

52 Pipes A and B fill a tank in hours and hours, respectively, while pipe C drains it in hours. A repeating three-hour schedule is used: A and B operate in hour 1, A and C in hour 2, and B and C in hour 3. Starting with an empty tank, when is it first full?

53 What is the smallest positive integer divisible by that has exactly positive divisors?

54 A class has an average score of . The boys average , and the girls average . After additional boys, each averaging , join the class, the overall average becomes . How many girls were originally in the class?

55 Between and , the clock hands are perpendicular twice. At what time does the later occurrence happen?

56 A retailer records the following data. Returned units receive a full refund.

| Product | Units sold | Price per unit | Return rate |
|---|---:|---:|---:|
| A | | | |
| B | | | |
| C | | | |
| D | | | |

Approximately what percentage of total revenue after refunds is contributed by product B?

57 A retailer records the following data. Returned units receive a full refund.

| Product | Units sold | Price per unit | Return rate |
|---|---:|---:|---:|
| A | | | |
| B | | | |
| C | | | |
| D | | | |

For product C alone, suppose price rises by , sales volume falls by , and the return rate becomes . By approximately what percentage does C's revenue after refunds change?

58 A retailer records the following data.

| Product | Units sold | Return rate |
|---|---:|---:|
| A | | |
| B | | |
| C | | |
| D | | |

What is the overall return rate when each sold unit is weighted equally?

59 The table reports revenue and profit margin by region.

| Region | Actual revenue | Actual margin | Budget revenue | Budget margin |
|---|---:|---:|---:|---:|
| North | million | | million | |
| South | million | | million | |
| East | million | | million | |
| West | million | | million | |

What is the company's actual profit margin, weighted by actual revenue?

60 The table reports revenue and profit margin by region.

| Region | Actual revenue | Actual margin | Budget revenue | Budget margin |
|---|---:|---:|---:|---:|
| North | million | | million | |
| South | million | | million | |
| East | million | | million | |
| West | million | | million | |

West's profit exceeded its budget by what percentage of the company's net favorable profit variance?