All Analytical and Logical Reasoning MCQs

Question 1

Which value of c makes x2-7x+c a perfect square?

Accepted Answer

49/4

Answer

7/2

Answer

7

Answer

49

Question 2

On the first 7 statistics tests of the semester, Jamal scored 61, 76, 79, 80, 80, 84, and 91. The mean, median, and mode of his scores were 79, 80, and 80, respectively. On the 8th statistics test, Jamal scored 90. How do the mean, median, and mode of all 8 of his scores compare to the mean, median, and mode of his first 7 scores?

Accepted Answer

E

Answer

A

Answer

B

Answer

C

Answer

D

Question 3

Four identical glasses are shown below. One glass is empty, and the other 3 glasses are ¼ full,1/2 full, and ⅘ full of water, respectively. If the water were redistributed equally among the 4 glasses, what fractional part of each glass would be filled?

Accepted Answer

31/80

Answer

2/11

Answer

8/11

Answer

3/22

Answer

31/60

Question 4

The price for hiring a car is determined by the number of days for which it is to be hired and the number of people who will be using it. The table below shows the prices for groups of up to 5 people hiring cars for up to 7 days.Patrick is part of a group of 5 people on a holiday for 5 days. They will be going on outings each day, and had planned to hire one car for all of them for all 5 days. However, two of the group will only be there for the first 3 days, so an alternative is to hire one car for this period and another for the final two days. What will be the difference if they choose this alternative?

Accepted Answer

It will be $2 more expensive

Answer

It will be $5 cheaper

Answer

It will be $2 cheaper

Answer

It will be $5 more expensive

Question 5

In a restaurant recently, I received the following bill:Starter $7.00Main Course $20.75Dessert $9.75Drink $4.50Service Charge $5.25TOTAL $47.25What percentage of the cost of the food and drink had been added to the bill as service charge?

Accepted Answer

12.5%

Answer

11.1%

Answer

14.0%

Answer

15.0%

Question 6

William buys a bus ticket every day, Monday to Friday, for $2.50. The bus company has just introduced a card which can be bought to get a discount on all bus fares. Each card is valid for 1 week. William has worked out that he will pay exactly the same amount if he gets the card as he will if he continues to buy tickets at the normal price. Which of the following could be the price and discount for the card?

Accepted Answer

$10 for the card and a discount of 80% on ticket prices

Answer

$5 for the card and a discount of 10% on ticket prices

Answer

$5 for the card and a discount of 50% on ticket prices

Answer

$10 for the card and a discount of 50% on ticket prices

Question 7

Gemma is on a coach trip. After a short sleep she has woken up just in time to see this sign on the side of the motorway.The last thing she remembers seeing before she fell asleep is this sign:How far has the coach travelled while Gemma has been asleep?

Accepted Answer

39km

Answer

4km

Answer

17km

Answer

56km

Question 8

Monthly sales of new cars in Illyria are always highest in March and September. At the end of each month, the sales figures from the 1st January up to the end of the month are recorded. These figures are then presented on a chart. Which of the four charts below could represent the car sales in lllyria?

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 9

What is the mode of this data set?

Accepted Answer

15

Answer

11

Answer

16

Answer

17

Question 10

What number is covered by the flower?

Accepted Answer

4

Answer

1

Answer

2

Answer

3

Question 11

Study the following graph and answer the question. For which of the following pairs of years the total exports from the three Companies together are equal?

Accepted Answer

1995 and 1996

Answer

1995 and 1998

Answer

1996 and 1998

Answer

1997 and 1998

Question 12

P (t) = 1,800 (1.02)t The function P gives the estimated number of marine mammals in a certain area, where t is the number of years since a study began. What is the best interpretation of P(0) = 1,800 in this context?

Accepted Answer

The estimated number of marine mammals in the area was 1,800 when the study began.

Answer

The estimated number of marine mammals in the area was 102 when the study began.

Answer

The estimated number of marine mammals in the area increased by 102 each year during the study.

Answer

The estimated number of marine mammals in the area increased by 1,800 each year during the study.

Question 13

A manager is responsible for ordering supplies for a shaved ice shop. The shop's inventory starts with 4,500 paper cups, and the manager estimates that 70 of these paper cups are used each day. Based on this estimate, in how many days will the supply of paper cups reach 1,700?

Accepted Answer

40

Answer

20

Answer

60

Answer

80

Question 14

In 2008, Zinah earned 14% more than in 2007, and in 2009 Zinah earned 4% more than in 2008. If Zinah earned y times as much in 2009 as in 2007, what is the value of y?

Accepted Answer

1.1856

Answer

0.5600

Answer

1.0056

Answer

1.1800

Question 15

On a street with 7 houses, 2 houses are blue. If a house from this street is selected at random, what is the probability of selecting a house that is blue?

Accepted Answer

2/7

Answer

1/7

Answer

5/7

Answer

7/7

Question 16

The amount of Hanna's bill for a food order was $50. Hanna gave a tip of 20% of the amount of the bill. What is the amount, in dollars, of the tip Hanna gave?

Accepted Answer

10

Answer

12

Answer

15

Answer

20

Question 17

Brian saves 2/5 of the $215 he earns each week from his job. If Brian continues to save at this rate, how much money, in dollars, will Brian save in 9 weeks?

Accepted Answer

774

Answer

760

Answer

770

Answer

780

Question 18

A company that makes wildlife videos purchases camera equipment for $32,400. The equipment depreciates in value at a constant rate for 12 years, after which it is considered to have no monetary value. How much is the camera equipment worth 4 years after it is purchased?

Accepted Answer

$21,600

Answer

$10,800

Answer

$16,200

Answer

$29,700

Question 19

Ken is working this summer as part of a crew on a farm. He earned $8 per hour for the first 10 hours he worked this week. Because of his performance, his crew leader raised his salary to $10 per hour for the rest of the week. Ken saves 90% of his earnings from each week. What is the least number of hours he must work the rest of the week to save at least $270 for the week?

Accepted Answer

22

Answer

38

Answer

33

Answer

16

Question 20

The table shows the kinds of foods that are fed to the cats and dogs currently boarded at a pet care facility. What fraction of the dogs are fed only dry food?

Accepted Answer

2/25

Answer

2/41

Answer

7/41

Answer

2/7

All Free Analytical and Logical Reasoning MCQs with Answers