**Question 1:**

In some code, letters a, b, c, d and e represent numbers 2, 4, 5, 6 and 10. We just do not know which letter represents which number. Consider the following relationships:

a + c = e,

b – d = d and

e + a = b

Which of the following statements is true?

Topic: Basics

[1] b = 4, d = 2

[2] a = 4, e = 6

[3] b = 6, e = 2

[4] a = 4, c = 6

Option: 2

Online CAT 2022 Quant Course

Online CAT 2022 Quant Course

**Question 2:**

A change-making machine contains one-rupee, two-rupee and five-rupee coins. The total number of coins is 300. The amount is Rs. 960. If the numbers of one-rupee coins and two-rupee coins are interchanged, the value comes down by Rs. 40. The total number of five-rupee coins is

Topic: Basics

[1] 100

[2] 140

[3] 60

[4] 150

Option: 2

Online CAT 2022 Quant Course

Online CAT 2022 Quant Course

**Question 3:**

Number S is obtained by squaring the sum of digits of a two-digit number D. If difference between S and D is 27, then the two-digit number D is

Topic: Digits

[1] 24

[2] 54

[3] 34

[4] 45

Option: 2

Online CAT 2022 Quant Course

Online CAT 2022 Quant Course

**Question 4:**

The nth element of a series is represented as

X_{n}= (–1)^{n}X_{n}–1

If X_{0}= x and x > 0, then which of the following is always true?

Topic: Basics

[1] X

_{n}is positive if n is even

[2] X

_{n}is positive if n is odd

[3] X

_{n}is negative if n is even

[4] None of these

Option: 4

Online CAT 2022 Quant Course

Online CAT 2022 Quant Course

**Question 5:**

The owner of a local jewellery store hired three watchmen to guard his diamonds, but a thiefstill got in and stole some diamonds. On the way out, the thief met each watchman, one at a time. To each he gave of the diamonds he had then, and 2 more besides. He escaped with one diamond. How many did he steal originally?

Topic: Basics

[1] 40

[2] 36

[3] 25

[4] None of these

Option: 2

Online CAT 2022 Quant Course

Online CAT 2022 Quant Course

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