**(Consider 1=a, 2=b, 3=c, 4=d for answers)**

1. j is a negative integer

5/10 = j/m

Quantity 1: j/m

Quantity 2: 2

1. Quantity 2 is less than quantity 1

2. Quantity 1 is less than quantity 2

3. Quantity 1 is equal to quantity 2

4. No relation

Answer: (d)

Explanation: 5/10 = j/m

½ = j/m

Therefore there is no relation between 1 and 2

2. r< 5 and p > 5

Quantity 1: pr

Quantity 2: rp

1. Both the quantities are equal

2. 1 is less than 2

3. 2 is less than 1

4. No relation

Answer: (a)

Explanation: rp = pr, therefore (a) is the right answer.

3. Z = 0.36

U = 0.42 / 2

1. Z is greater than U

2. U is greater than Z

3. X is equal to U

4. There is no relation between Z and U

Answer: (a)

Explanation: U = 0.42 / 2 = 0.14, whereas Z = 0.36.

Therefore Z is greater than U.

4. A = the number of hours in 6 days

B = the number of seconds in 3 minutes

1. B is greater than A

2. A is greater than B

3. There is no relation between A and B

4. A = B

Answer: (c)

Explanation: A = 6 x 24 =144

B = 3 x 60 = 180

Therefore A is not equal to B.

5.

1. Quantity 1: (7/12)4

Quantity 2: (7/12)1/2

2. Quantity 2 is greater than quantity 1

3. Quantity 1 is greater than quantity 2

4. Both quantities are equal

5. There is no relationship between both the quantities

Answer: (a)

Explanation: (6/12)4 = 0.0301; (6/12)1/2 = 0.2083

Therefore quantity 2 is greater than quantity 1

6. T = 2/p + 2/x = 2/6

Q = 2/p2 + 2/x2 = 7/9

1. T and S are equal

2. T > Q

3. T < Q

4. Relation not defined

Answer: (d)

Explanation: R = 2/p2 + 2/x2 = 7/9 = 1/p2 + 1/x2 = 7/18

E = 2/p + 2/x = 2/6 = 1/p + 1/x = 1/6

E2 = 1/p2 + 2/px + 1/x2 = 1/36

E2 = 1/p2 + 1/x2 =1/36 - 2/px

Therefore the relation between T and Q is not defined.

7. 10 > d < 40, while 35 > e < 56

Quantity 1: d

Quantity 2: e

1. Value of quantity 2 is more than value of quantity 1

2. Value of quantity 1 is more than value of quantity 2

3. Values of both quantity 1 and 2 are equal

4. There is no relation between the 2 quantities

Answer: (d)

Explanation: As quantity 1 can be any number between 10 and 40, and quantity 2 can be any number between 35 and 56, option (d) is the right answer

8. E + 4D >10

Quantity 1: 3E + 6D Quantity 2: 25

1. Quantity 2 is greater than quantity 1

2. Both the quantities are equal

3. Quantity 1 is greater than quantity 2

4. The relationship between the two quantities cannot be determined

Answer: (d)

Explanation: E + 4D > 10

hence, E > 10 - 3D

Multiplying by 4 to both sides of inequality,

4E > 40-16D

hence, 3E + 16D > 40

Now E1: 3E + 6D

E2: 25

Hence, there is no relation between these two.

Option (d) is the answer

9. 20 > d < 40, while 21 > p < 84

Quantity 1: d

Quantity 2: p

1. Value of quantity 2 is more than value of quantity 1

2. Value of quantity 1 is more than value of quantity 2

3. Values of both quantity 1 and 2 are equal

4. There is no relation between the 2 quantities

Answer: (d)

Explanation: As quantity 1 can be any number between 20 and 40, and quantity 2 can be any number between 21 and 84, option (d) is the right answer

10. Quantity 1: 8/125

Quantity 2: 0.55/9

1. Quantity 1 is greater than Quantity 2

2. Quantity 2 is greater than Quantity 1

3. There is no relation between both the quantities

4. Both quantities are equal

Answer: (b)

Explanation: 8/125 = 0.064; 0.55/9 = 0.061

Therefore (a) is the answer

11. k< 9 and w > 9

Quantity 1: wk

Quantity 2: kw

1. Both the quantities are equal

2. 1 is less than 2

3. 2 is less than 1

4. No relation

Answer: (a)

Explanation: kw = wk, therefore (a) is the right answer.

12. J = the number of hours in 4 days

V = the number of seconds in 3 minutes

1. V is greater than J

2. J is greater than V

3. There is no relation between J and B

4. J = V

Answer: (c)

Explanation: J = 3 x 24 =72

V = 4 x 60 = 240

Therefore J is not equal to B.

13. N = 2/z + 2/b = 2/6

H = 2/z2 + 2/b2 = 7/9

1. N and H are equal

2. N > H

3. N < H

4. Relation not defined

Answer: (d)

Explanation: R = 2/z2 + 2/b2 = 7/9 = 1/z2 + 1/b2 = 7/18

E = 2/z + 2/b = 2/6 = 1/z + 1/b = 1/6

E2 = 1/z2 + 2/zb + 1/b2 = 1/36

E2 = 1/z2 + 1/b2 =1/36 - 2/zb

Therefore the relation between N and H is not defined.

14. K + 4R >10

Quantity 1: 3K + 6R Quantity 2: 25

1. Quantity 2 is greater than quantity 1

2. Both the quantities are equal

3. Quantity 1 is greater than quantity 2

4. The relationship between the two quantities cannot be determined

Answer: (d)

Explanation: K + 5R > 10

hence, K > 10 - 3R

Multiplying by 5 to both sides of inequality,

5K > 50-25R

hence, 5K + 25R > 50

Now K1: 5K + 25R

K2: 25

Hence, there is no relation between these two.

Option (d) is the answer

15. Quantity 1: 6/137

Quantity 2: 0.36/7

1. Quantity 1 is greater than Quantity 2

2. Quantity 2 is greater than Quantity 1

3. There is no relation between both the quantities

4. Both quantities are equal

Answer: (b)

Explanation: 6/137= 0.043; 0.36/7= 0.051

Therefore (b) is the answer

16. 10 > s < 20, while 31 > r < 86

Quantity 1: s

Quantity 2: r

1. Value of quantity 2 is more than value of quantity 1

2. Value of quantity 1 is more than value of quantity 2

3. Values of both quantity 1 and 2 are equal

4. There is no relation between the 2 quantities

Answer: (d)

Explanation: As quantity 1 can be any number between 10 and 20, and quantity 2 can be any number between 31 and 86, option (d) is the right answer

17. d is a negative integer

5/10 = h/k

Quantity 1: d/e

Quantity 2: 2

1. Quantity 2 is less than quantity 1

2. Quantity 1 is less than quantity 2

3. Quantity 1 is equal to quantity 2

4. No relation

Answer: (d)

Explanation: 5/10 = d/e

½ = d/e

Therefore there is no relation between 1 and 2

18. q< 4 and p > 3

Quantity 1: pq

Quantity 2: qp

1. Both the quantities are equal

2. 1 is less than 3

3. 3 is less than 1

4. No relation

Answer: (a)

Explanation: qp = pq, therefore (a) is the right answer.

19. Column u = 5b + 6 Column k = 3 Assume that quantity 1 is (u) and quantity 2 is 15. Determine whether

1. Quantity 1 is greater than Quantity 2

2. Quantity 2 is greater than Quantity 1

3. Both the quantities are equal

4. The relationship between the two quantities cannot be determined

Answer: (c)

Explanation: As quantity 1 = u = 5b + 6

= 5 (5) + 6

= 25 + 6

= 31 = quantity 2.

Therefore the right answer is (d)

20. T = 0.15

V = 0.13 / 5

1. T is greater than V

2. V is greater than T

3. T is equal to V

4. There is no relation between T and V

Answer: (a)

Explanation: V = 0.13 / 5 = 0.026, whereas T = 0.15.

Therefore T is greater than V.

21. m + e = 18

Quantity 1: 18

Quantity 2: m - e

1. Quantity 1 is equal to Quantity 2

2. Quantity 2 is greater than Quantity 1

3. No relation

4. Quantity 1 is greater than quantity 2

Answer: (c)

Explanation: As quantity 1 is 18 = m + e and quantity 2 is m - e, option (c) is the right answer

22. Column z = 3a + 9

Column p = 15

Assume that quantity 1 is (z) and quantity 2 is 15. Determine whether

1. Quantity 1 is greater than Quantity 2

2. Quantity 2 is greater than Quantity 1

3. Both the quantities are equal

4. The relationship between the two quantities cannot be determined

Answer: (d)

Explanation: As quantity 1 = z = 3a + 12

= 3 (3) + 12

= 9 + 12

= 21 = quantity 15.

Therefore the answer is (d)

23. c is a negative integer

20/30 = c/b

Quantity 1: c/b

Quantity 2: 2

1. Quantity 2 is less than quantity 1

2. Quantity 1 is less than quantity 2

3. Quantity 1 is equal to quantity 2

4. No relation

Answer: (d)

Explanation: 20/30 = c/b

½ = c/b

Therefore there is no relation between 1 and 2

24. a< 25 and h > 25

Quantity 1: ha

Quantity 2: ah

1. Both the quantities are equal

2. 1 is less than 2

3. 2 is less than 1

4. No relation

Answer: (a)

Explanation: ah = ha, therefore (a) is the right answer.

25. P = the number of hours in 10 days

A = the number of seconds in 6 minutes

1. A is greater than P

2. P is greater than A

3. There is no relation between P and A

4. P = A

Answer: (c)

Explanation: P = 10 x 24 =240

A = 6 x 60 = 360

Therefore G is not equal to A.

26.

1. Quantity 1: (3/18)4

Quantity 2: (5/12)1/2

2. Quantity 2 is greater than quantity 1

3. Quantity 1 is greater than quantity 2

4. Both quantities are equal

5. There is no relationship between both the quantities

Answer: (d)

Explanation: (3/18)4 = 0.66; (5/12)1/2 = 0.2083

Therefore there is no relationship between both the quantities

27. E = 0.15

U = 0.19 / 3

1. E is greater than U

2. U is greater than E

3. E is equal to W

4. There is no relation between E and U

Answer: (a)

Explanation: U = 0.19 / 3 = -6.33, whereas E = 0.15.

Therefore E is greater than U.

28. 60 > c < 80, while 36 > k < 93

Quantity 1: c

Quantity 2: k

1. Value of quantity 2 is more than value of quantity 1

2. Value of quantity 1 is more than value of quantity 2

3. Values of both quantity 1 and 2 are equal

4. There is no relation between the 2 quantities

Answer: (d)

Explanation: As quantity 1 can be any number between 60 and 80, and quantity 2 can be any number between 36 and 93, option (d) is the right answer

29. 50 > i < 80, while 19 > e < 82

Quantity 1: i

Quantity 2: e

1. Value of quantity 2 is more than value of quantity 1

2. Value of quantity 1 is more than value of quantity 2

3. Values of both quantity 1 and 2 are equal

4. There is no relation between the 2 quantities

Answer: (d)

Explanation: As quantity 1 can be any number between 50 and 80, and quantity 2 can be any number between 19 and 82, option (d) is the right answer

30. I + 9A >10

Quantity 1: 10I + 6A

Quantity 2: 34

1. Quantity 2 is greater than Quantity 1

2. Both the quantities are equal

3. Quantity 1 is greater than Quantity 2

4. The relationship between the two quantities cannot be determined

Answer: (d)

Explanation: I + 9A > 10

Hence, I > 10 - 3A

Multiplying by 3 to both sides of inequality,

9I > 30-9A

Hence, 10I + 9A > 34

Now Q1: 9I + 6A

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