**Question 1:**

When you reverse the digits of the number 13, the number increases by 18. How many other two digit numbers increase by 18 when their digits are reversed?

Topic: Basics

[1] 5

[2] 6

[3] 7

[4] 8

Option: 2

Online CAT 2022 Quant Course

Online CAT 2022 Quant Course

**Question 2:**

Suppose you have a currency, named Miso, in three denominations: 1 Miso, 10 Misos and 50 Misos. In how many ways can you pay a bill of 107 Misos?

Topic: Basics

[1] 17

[2] 16

[3] 18

[4] 15

Option: 3

Online CAT 2022 Quant Course

Online CAT 2022 Quant Course

**Question 3:**

A confused bank teller transposed the rupees and paise when he cashed a cheque for Shailaja. Giving her rupees instead of paise and paise instead of rupees. After buying a toffee for 50 paise, Shailaja noticed that she was left with exactly three times as much as the amount on the cheque. Which of the following is a valid statement about the cheque amount?

Topic: basics

[1] Over Rupees 13 but less than Rupees 14

[2] Over Rupees 7 but less than Rupees 8

[3] Over Rupees 22 but less than Rupees 23

[4] Over Rupees 18 but less than Rupees 19

Option: 4

Online CAT 2022 Quant Course

Online CAT 2022 Quant Course

**Question 4:**

How many pairs of positive integers m, n satisfy \(\frac{1}{m} + \frac{4}{n} = \frac{1}{2},\) , where, ‘n’ is an odd integer less than 60?

Topic: Factors

[1] 6

[2] 4

[3] 7

[4] 5

Option: 5

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Online CAT 2022 Quant Course

**Question 5:**

The question is followed by two statements A and B. Indicate your response based on the following directives.

The average weight of a class of 100 students is 45 kg. The class consists of two sections, I and II, each with 50 students. The average weight, W_{I }, of Section I is smaller than the average weight W_{II }, of the Section II. If the heaviest student say Deepak, of section II is moved to Section I, and the lightest student, say Poonam, of Section I is moved to Section II, then the average weights of the two sections are switched, i.e., the average weight of Section I becomes W_{II} and that of Section II becomes W_{I }. What is the weight of Poonam?

A: W_{II }– W_{I }=1.0.

B: Moving Deepak from Section II to I (without any move I to II) makes the average weights of the two sections equal.

Topic: DS

[1] The questions can be answered using A alone but not using B alone.

[2] The question can be answered using B alone but not using A alone.

[3] The question can be answered using A and B together, but not using either A or B alone.

[4] The question cannot be answered even using A and B together

Option: 3

Online CAT 2022 Quant Course

Online CAT 2022 Quant Course