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Quant-Based LR Questions for CAT

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Verified questions474
Worked solutions in practice mode58 from CAT papers
82 easy101 medium291 hard

22 free Quant-Based LR questions

1EasyPassage, 4 questions

A 3x3 magic square is filled with the digits 1 to 9, each used exactly once, so that every row, every column, and both main diagonals add up to the same magic constant. The square below is partly filled (a question mark means the cell is empty):

Row 1: 8 | ? | 6 Row 2: ? | 5 | ? Row 3: 4 | ? | 2

Question 1

What is the magic constant of this square?

  1. A

    12

  2. B

    15

  3. C

    18

  4. D

    21

Question 2

What value belongs in the empty cell of Row 1 (between 8 and 6)?

  1. A

    1

  2. B

    2

  3. C

    3

  4. D

    9

Question 3

What value belongs in the empty cell of Row 3 (between 4 and 2)?

  1. A

    3

  2. B

    7

  3. C

    9

  4. D

    1

Question 4

What value belongs in the middle-left cell (Row 2, left column)?

  1. A

    1

  2. B

    3

  3. C

    7

  4. D

    9

Show solution
2EasyPassage, 4 questions

Study the 3x3 grid below.

Row 1: 2 | 3 | 5 Row 2: 4 | 6 | 10 Row 3: 6 | 9 | ?

Find the rule linking the numbers and the missing value.

Question 1

What rule connects the three numbers in each row?

  1. A

    Third = first + second

  2. B

    Third = first × second

  3. C

    Third = second - first

  4. D

    All three are equal

Question 2

What is the missing value in Row 3?

  1. A

    12

  2. B

    13

  3. C

    15

  4. D

    18

Question 3

Column 1 reads 2, 4, 6. What is its common difference?

  1. A

    1

  2. B

    2

  3. C

    3

  4. D

    4

Question 4

Column 3 reads 5, 10, 15. What is its common difference?

  1. A

    2

  2. B

    3

  3. C

    5

  4. D

    10

Show solution
3MediumPassage, 4 questions

A three-digit number has a digit sum of 18. Its tens digit is 6, its hundreds digit is twice its units digit, and all three digits are distinct.

Question 1

Because the digit sum is 18, the number is certainly divisible by which of these?

  1. A

    2

  2. B

    3

  3. C

    9

  4. D

    11

Question 2

With the tens digit equal to 6 and a digit sum of 18, what is the sum of the hundreds and units digits?

  1. A

    9

  2. B

    10

  3. C

    12

  4. D

    14

Question 3

Given that the hundreds digit is twice the units digit and they sum to 12, what is the units digit?

  1. A

    2

  2. B

    3

  3. C

    4

  4. D

    6

Question 4

What is the three-digit number?

  1. A

    468

  2. B

    648

  3. C

    846

  4. D

    864

Show solution
4MediumPassage, 4 questions

A positive integer N leaves a remainder of 2 when divided by 5, and a remainder of 1 when divided by 3. Consider all such numbers that are at most 30.

Question 1

Which list gives all numbers up to 30 that leave remainder 2 when divided by 5?

  1. A

    2, 7, 12, 17, 22, 27

  2. B

    5, 10, 15, 20, 25, 30

  3. C

    2, 5, 8, 11, 14, 17

  4. D

    3, 8, 13, 18, 23, 28

Question 2

Among those, which also leave a remainder of 1 when divided by 3?

  1. A

    7 and 22

  2. B

    12 and 27

  3. C

    2 and 17

  4. D

    7 only

Question 3

What is the smallest positive integer satisfying both conditions?

  1. A

    2

  2. B

    7

  3. C

    12

  4. D

    17

Question 4

What is the next such number after 7?

  1. A

    12

  2. B

    17

  3. C

    22

  4. D

    27

Show solution
5HardPassage, 6 questions

Ajay is a trader in a reputed investment bank and uses one of the three strategies described below at the start of each week to buy and sell shares of a company R.

Strategy 1: Buy the shares of R at the start of trading on Monday and sell all the shares at the close of trading on Friday. Strategy 2: Buy an equal amount of shares of R at the start of each day from Monday to Friday and sell them all at the close of trading on Friday. Strategy 3: Buy shares of R at the start of each day using the same amount of money and sell them all at the close of trading on Friday.

The return on investment (ROI) for each strategy is (Total selling price - Total cost price)/Total Cost price. The return on investment can be negative.

Question 1

Which one of the below is always true?

  1. A

    Return on investment of Strategy 1 is always less than that of Strategy 3.

  2. B

    Return on investment of Strategy 2 is never more than that of Strategy 3.

  3. C

    Return on investment of Strategy 1 is always less than that of Strategy 2.

  4. D

    None of the above

Question 2

If the share price of R is increasing on each day from Monday to Friday, which strategy makes the largest return on investment?

  1. A

    Strategy 1

  2. B

    Strategy 2

  3. C

    Strategy 3

  4. D

    Can't be determined

Question 3

If the share price of R is decreasing on each day from Monday to Friday, which strategy makes the largest return on investment?

  1. A

    Strategy 1

  2. B

    Strategy 2

  3. C

    Strategy 3

  4. D

    Can't be determined

Question 4

The share price varies on each day, but it is known that Strategy 1 gives a positive return on investment. Which strategy makes the largest return on investment?

  1. A

    Strategy 1

  2. B

    Strategy 2

  3. C

    Strategy 3

  4. D

    Can't be determined

Question 5

The share price varies on each day, but it is known that Strategy 1 gives a positive return on investment and Strategy 3 gives a negative return on investment. Which strategy makes the smallest return on investment?

  1. A

    Strategy 1

  2. B

    Strategy 2

  3. C

    Strategy 3

  4. D

    Can't be determined

Question 6

Ajay decided to use Strategy 2 during the course of a week. The week was particularly turbulent for Company R, as the share price doubled and halved on alternate days (doubled on Monday, halved on Tuesday, and so on). The price at the start of a day was equal to the price at the end of the previous day. If the return on investment of Ajay can be expressed as a/b, where a and b are co-prime integers, what is the value of (a+b)?

  1. A

    7

  2. B

    8

  3. C

    9

  4. D

    10

Show solution
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