Integers Quiz

Alex is standing at the point -3 on the number line. He starts moving on it and takes 3 steps to the right and then 7 steps to the left. What is his final position on the number line?

1. -7
2. -3
3. 7
4. -8

Answer: (a) -7

Find x in the given equation: -2x + [-23 - 7(-2)] = -37 + 6(2)

1. -8
2. 8
3. 0
4. 16

Answer: (b) 8

Which integer property implies the equality of the expressions I and II? I. -3 x (-20 - 6) II. (-3) x (-20) + (-3) x (-6)

1. Associative property
2. Closure property
3. Commutative property
4. Distributive property

Answer: (d) Distributive property

Subtract the sum of the first five odd positive integers from the largest negative integer.

1. 24
2. -26
3. -25
4. 26

Answer: (b) -26

An integer added to six times the number (-52) becomes three times the difference of -46 and -12. What is the integer?

1. 205
2. 260
3. 210
4. 278

Answer: (c) 210

What will be the difference of [(-26) x 4 + (-800) / 40] and -25 + [(-62) + {-27/(-3)}]?

1. -46
2. 46
3. 78
4. -78

Answer: (a) -46

Which of the following statements is true? I. The sum of two negative integers can be negative as well as positive. II. The difference of two negative integers can be negative. III. The difference between a negative and a positive integer is always positive.

1. I
2. III
3. II
4. I and III

Answer: (c) II

A girl buys 15 pencils for $5 each and 20 pens for $20 each from a shop. The following day, she returned 7 pencils and x pens to the shopkeeper, for which the shopkeeper charged $2 for every pencil and $4 for every pen returned and gave her $133. Find the number of pens she returned.

1. 6
2. 7
3. 13
4. 9

Answer: (b) 7

Read the passage carefully and answer the following question. David, Peter and Martin appear for an engineering entrance test. The test consists of 30 questions. A student attempts a question correctly or incorrectly or leaves it unattempted. The marking scheme of the test is as follows: +4 marks are given for each correct answer, (-2) marks are given for each incorrect answer and (-1) marks are given for every unattempted question. A student must score 60 marks or more in order to get qualified. David attempts 15 questions correctly and 6 questions incorrectly. Peter attempts 7 questions incorrectly; he answers some of the remaining questions correctly and leaves some of them. Martin leaves 5 questions and qualifies the test. What is the overall score of David?

1. 39
2. 48
3. 60
4. 26

Answer: (a) 39

Read the passage carefully and answer the following question. David, Peter and Martin appear for an engineering entrance test. The test consists of 30 questions. A student attempts a question correctly or incorrectly or leaves it unattempted. The marking scheme of the test is as follows: +4 marks are given for each correct answer, (-2) marks are given for each incorrect answer and (-1) marks are given for every unattempted question. A student must score 60 marks or more in order to get qualified. David attempts 15 questions correctly and 6 questions incorrectly. Peter attempts 7 questions incorrectly; he answers some of the remaining questions correctly and leaves some of them. Martin leaves 5 questions and qualifies the test. What can be the ratio of correct answers to incorrect answers attempted by Martin?

1. 17 : 8
2. 19 : 6
3. 18 : 7
4. 4 : 1

Answer: (d) 4 : 1