In this article, The expert SSC team of www.jagranjosh.com has prepared a set of 20 questions covering the Mathematical Operations of **Type-3** for Reasoning section. There are 2-4 questions in SSC CGL out of this chapter. We are providing you different variety of questions based on Type-1 which will surely help you in scoring good marks.

There are basically four fundamental operations, i.e. Addition, Substraction, Divison, Multiplication and apart from that ‘Greater than’,’ smaller than’,’ equal to’ & ‘not equal to’. While solving the problems, you must keep the **BODMAS **Rule into consideration, i.e. Brackets, Of, Division, Multiplication, Addition, Subtraction.

Apart from that, there are basically 3 types of problems in Mathematical Operations.

- Problem solving by substitution
- Interchanging Signs and numbers
- Deriving the Appropriate conclusions

Here are the practice questions. Go through it.** **

**Type 3: DERIVING THE APPROPRIATE CONCLUSIONS**

**1.** If A + B > C + D and B + C > A + D, then it is definitely that

a. D > B

b. C > D

c. A > D

d. B > D

**In the following questions, the symbols @, ****©, $, % and # are used with the following meanings as illustrated below:**

‘A $ B’ means ‘A is not smaller than B’;

‘A # B’ means ‘A is not greater than B’;

‘A @ B’ means ‘A is neither smaller than nor equal to B’;

‘A © B’ means ‘A is neither smaller than nor greater than B’;

‘A % B’ means ‘A is neither greater than nor equal to B’.

Now, in each of the following questions, assuming the given statements to be true, find which of the three conclusions I, II and III given below them is/are definitely true and give your answer accordingly.

**2.** **Statements:** H % J, J © N, N @ R

**Conclusions:** I. R % J

II. H @ J

III. N @ H

a. Only I is true

b. Only II is true

c. Only III is true

d. Only I and III are true

e. None is true

**3.** **Statements:** M @ J, J $ T, T © N

**Conclusions:** I. N # J

II. T % M

III. M @ N

a. None is true

b. Only I and II are true

c. Only II and III are true

d. Only I and III are true

e. All are true

**4. Statements:** D © K, K # F, F @ P

**Conclusions:** I. P @ D

II. K # P

III. F $ D

a. Only I and II are true

b. Only II is true

c. Only II and III are true

d. Only III is true

e. None of these

**5. Statements:** R # D, D $ M, M © N

**Conclusions:** I. R # M

II. N # D

III. N $ R

a. Only I is true

b. Only II is true

c. Only III is true

d. None is true

e. All are true

**6. Statements:** K © P, P @ Q, Q $ R

**Conclusions:** I. K @ R

II. R % P

III. Q % K

a. Only I and II are true

b. Only II and III are true

c. Only III is true

d. All are true

e. None of these

**7. Statements:** K # N, N $ T, T % J

**Conclusions:** I. J @ N

II. K @ T

III. T @ K

a. None is true

b. Only I and II are true

c. Only II and III are true

d. Only I and III are true

e. None of these

**8. Statements:** M @ D, D ©V, V $ W

**Conclusions:** I. W @ M

II. M % V

III. D $ W

a. Only I and II are true

b. Only II and III are true

c. Only III is true

d. Only I and III are true

e. None of these

**9.** If A > B, B > C and C > D, then which of the following conclusions is definitely wrong?

a. A > D

b. A > C

c. D > A

d. B > D

**10.** If A + B = 2C and C + D = 2A, then

a. A + C = B + D

b. A + C = 2D

c. A + D = B + C

d. A + C = 2B

**11.** If A + B = C + D and A + D > B + C, then which one of the following is definitely wrong?

a. A > B

b. A > C

c. C > D

d. B > D

**12.** Find the correct inference according to given premises and symbols:

A: Not greater than

B: Greater than

C: Not equal to

D: Equal to

E: Not less than

F: Less than

Premises: (lCm) and (lAm)

a. lBm

b. lDm

c. lEm

d. lFm

**Directions (Questions 13 to 19):** In the following questions, the symbols @, %, #, $, © are used with different meanings as explained below:

‘P @ Q’ means ‘P is not greater than Q’;

‘P % Q’ means ‘P is neither greater than nor equal to Q’;

‘P # Q’ means ‘P is neither smaller than nor equal to Q’;

‘P $ Q’ means ‘P is neither smaller than nor greater than Q’;

‘P © Q’ means ‘P is not smaller than Q’.

In each question, three statements showing relationships have been give, which are followed by two conclusions I and II. Assuming that the given statements are true, find out which of the conclusions is/are definitely true.

Mark answer (a) if only conclusion I is true; (b) if only conclusion II is true; (c) if either conclusion I or II is true; (d) if neither conclusion I nor II is true; and (e) if both conclusions I and II are true.

**13.** **Statements:** T @ L, L % N, D © N

**Conclusions:** I. N # T

II. L % D

**14. Statements:** J # R, R @ B, B % H

**Conclusions:** I. J @ B

II. J % H

**15. Statements:** W @ V, V # X, Y © V

**Conclusions:** I. X % Y

II. X $ W

**16. Statements:** M $ K, K © F, F % H

**Conclusions:** I. M # F

II. M $ F

**17. Statements:** H © D, D # R, R @ K

**Conclusions:** I. K @ H

II. H # R

**18. Statements:** E © H, K $ H, K @ M

**Conclusions:** I. E # K

II. E $ M

**19. Statements:** N % R, R @ K, K # F

**Conclusions:** I. R @ F

II. R # F

**Direction:** In the following question, the symbols $, #, %, and @ are used with the following meanings as illustrated below:

‘X $ Y’ means ‘X is not greater than Y’;

‘X # Y’ means ‘X is neither greater than nor smaller than Y’;

‘X % Y’ means ‘X is not smaller than Y’;

‘X Y’ means ‘X is neither smaller than nor equal to Y’;

‘X @ Y’ means ‘X is neither greater than nor equal to Y’.

Now, in the following question, assuming the given statements to be true, find which of the three conclusions I, II and III given below them is/are definitely true.

**20. Statements:** D $ K, H B, K @ H

**Conclusions:** I. B % K

II. B @ K

III. H D

a. Only I and II are true

b. Only either I or II is true

c. Only I and III are true

d. Only either I or II, and III are true

e. None of these

**All the Best!!!**