**Data for Questions 1 to 5 : **
If

M means greater than

N means equal to

O means not less than

P means less than

Q means not equal to

and R means not greater than

1. If yPz and zNa, then which of the following is true?

a) yMa

b) yPa

c) yOa

d) none of these

Explanation: yPz means that y is less than z and zNa means z = a. Thus, y is less than a

yPa. Option (b) is correct.

2. If 10aM6b and 12bM20c

a) 5aMc

b) aM5c

c) aNc

d) none of these

Explanation: 10a is greater than 6b. and 12b is greater than 20c

6n is greater than 10c. Thus 10a is greater than 10c or a is greater than c. Option (d) is correct.

3. If aP0 and b+2Pa, then which of the following is true?

a) bM – 2

b) bN – 2

c) bP – 2

d) none of these

Explanation: a is negative and b + 2 is less than a implies that b must be below –2. Hence, option (c) is correct.

4. If sOt, tRu and tRv then which of the following could be true about s and u/v or u and v?

a) sMu

b) sPv

c) sNv

d) can’t be determined

Explanation: Nothing can be said about the relationships between s, u or v or for that matter about u and v. Hence, cannot be determined. The correct answer is option (d).

5. If |t – u| M0, then which of the following is/are true

a) sMt

b) tMs

c) sNt

d) (a), (b) and (c) could be true

Explanation: Since the modulus value is always positive, all the three, i.e. the first, second and third relationships are possible. Hence, option (d) is correct

**Data for Questions 6 to 8 : **
If

aAb implies a + b

aMb implies a – b

aPb implies a ¥ b

aQb implies a ∏ b

6. Which of the following equations is correct?

a) 30Q10A4P2M2 = 15

b) 5P2A4Q2P2 = 14

c) 2Q3B5P6A7 = –5

d) none of these

Explanation: Option (b) is correct since we will get 10 + 4 = 14.

7. Calculate 5A6M3P4Q8

a) 10

b) 9

c) 9.5

d) 10.5

Explanation: 11 – 1.5 = 9.5. Option (c) is correct.

8. Calculate (2A3M4P5)P(5M6P8Q4)

a) –105

b) -120

c) 120

d) none of these

Explanation: (–15)(–7) = 105. Hence, option (d) is correct.