# SNAP Inequalities Questions PDF

Inequalities is an important topic in the Quant section of the SNAP Exam. You can also download this Free Inequalities Questions for SNAP PDF (with answers) by Cracku. These questions will help you to practice and solve the Inequalities questions in the SNAP exam. Utilize this **PDF practice set, **which is one of the best sources for practising.

Download Inequalities Questions for SNAP

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**Instructions**

Read the following informations and answer the given questions.

1.‘P$Q’ means ‘P is either greater than or equal to Q’

2.‘P@Q’ means ‘P is neither equal to nor smaller than Q’

3.‘P© Q’ means ‘P is neither smaller than nor greater than Q’

4.‘P£Q means P is not greater than Q

5.‘P?Q’ means ‘P is neither greater than nor equal Q

**Question 1: **N?S,S@P ,P£M.

Conclusion : I. S@M, II. P©N

a) If only one conclusion I follow

b) If only one conclusion II follow

c) If either conclusion I or II follow

d) If neither conclusion I or nor II follow

e) If both conclusions follow

**1) Answer (D)**

**Solution:**

Statements : N < S ; S > P ; P $\leq$ M

Conclusion :

I. S@M : $S>M$ : false

II. P©N : $P=N$ : false

Thus, neither conclusion I or nor II follow.

=> Ans – (D)

**Question 2: **J©P, P$N ,J£H

Conclusion : I. J©N, II. H@P

a) If only one conclusion I follow

b) If only one conclusion II follow

c) If either conclusion I or II follow

d) If neither conclusion I or nor II follow

e) If both conclusions follow

**2) Answer (D)**

**Solution:**

Statements : J = P ; P $\geq$ N ; J $\leq$ H

Combining above statements, we get : $H\geq J=P\geq N$

Conclusion :

I. J©N : $J=N$ : false

II. H@P : $H>P$ : false

Thus, neither conclusion I or nor II follow.

=> Ans – (D)

**Question 3: **Z@D,F© D,F$G

Conclusion : I. D©G, II. Z@G

a) If only one conclusion I follow

b) If only one conclusion II follow

c) If either conclusion I or II follow

d) If neither conclusion I or nor II follow

e) If both conclusions follow

**3) Answer (B)**

**Solution:**

Statements : Z > D ; F = D ; F $\geq$ G

Combining above statements, we get : $Z>D=F\geq G$

Conclusion :

I. D©G : $D=G$ : false

II. Z@G : $Z>G$ : true

Thus, only one conclusion II follow.

=> Ans – (B)

**Question 4: **L@T,P?T,K$L

Conclusion : I. L@P, II. K@T

a) If only one conclusion I follow

b) If only one conclusion II follow

c) If either conclusion I or II follow

d) If neither conclusion I or nor II follow

e) If both conclusions follow

**4) Answer (E)**

**Solution:**

Statements : L > T ; P < T ; K $\geq$ L

Combining above statements, we get : $K\geq L>T>P$

Conclusion :

I. L@P : $L>P$ : true

II. K@T : $K>T$ : true

Thus, both conclusions follow.

=> Ans – (E)

**Question 5: **R©U,U?Q,W$R

Conclusion : I. W©U, II. W@U

a) If only one conclusion I follow

b) If only one conclusion II follow

c) If either conclusion I or II follow

d) If neither conclusion I or nor II follow

e) If both conclusions follow

**5) Answer (C)**

**Solution:**

Statements : R = U ; U < Q ; W $\geq$ R

Combining above statements, we get : $Q>U=R$ and $W\geq R=U$

Conclusion :

I. W©U : $W=U$ : may be true

II. W@U : $W>U$ : may be true

Thus, either conclusion I or II follow.

=> Ans – (C)

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**Instructions**

These questions are based on the following information:

‘A @B’ means A is added to B

‘A★B’ MEANs A is multiplied by B

‘A#B’ means A is divide by B

‘A$B’ means B Is subtracted from A

**Question 6: **Marks by sujit in History (H) are 85% of this marks obtained in science(M).

a) H= (100#85)★M

b) H=85★100★M

c) H=85#100#M

d) H=(85#100)★M

e) None of these

**6) Answer (D)**

**Solution:**

H = 85% of M

=> $H = \frac{85}{100} \times M$

$\therefore$ H = (85 # 100) ★ M

=> Ans – (D)

**Question 7: **salary of Mr X (S1) is more than 40% of Mr .Y’s salary(S2) BY Rs 8000.

a) S1=[S2★(40@100)]#8000

b) S1=[S2★(40#100)]@8000

c) S2=[S1★(40#100)]@8000

d) S2=[S1★(40@100)]#8000

e) None of these

**7) Answer (B)**

**Solution:**

S1 = 40% of S2 + 8000

=> $S1 = (\frac{40}{100} \times S2) + 8000$

=> $S1 = (S2 \times 40 \div 100) + 8000$

$\therefore$ S1 = [S2 ★ (40 # 100)] @ 8000

=> Ans – (B)

**Question 8: **Number of boys in (B) IN class is equal to one fourth of three times the number of girls (G) in the class

a) B=(3#G)★4

b) B=(3★G)@4

c) B=(3★G)#4

d) B=(3$G)#4

e) None of these

**8) Answer (C)**

**Solution:**

B = $\frac{1}{4} \times 3 \times$ G

=> $B = (3 \times G) \div 4$

$\therefore$ B = (3 ★ G) # 4

=> Ans – (C)

**Question 9: **Population of state M(P1) is less than half of population of state of N(P2) by 1,50,000

a) P2=(P1#2)$1,50,000

b) P1=(P2#2)@1,50,000

c) P1=(P2#2)$1,50,000

d) P2=(P2#2)$1,50,000

e) None of these

**9) Answer (C)**

**Solution:**

P1 = half of P2 – 1,50,000

=> P1 = $\frac{P2}{2}$ – 1,50,000

$\therefore$ P1 = (P2 # 2) $ 1,50,000

=> Ans – (C)

**Question 10: **Total age of 12 boys is X and the total age of the 13 girls is Y. What is the average age (A) of all the boys and girls together?

a) A=(X@Y)#25

b) A=(X$Y)#25

c) A=(X@Y)★25

d) Cannot be determined

e) None of these

**10) Answer (A)**

**Solution:**

A = total age/total students

=> A = (X + Y) $\div$ (12 + 13)

=> A = (X + Y) $\div$ 25

$\therefore$ A = (X @ Y) # 25

=> Ans – (A)

**Instructions**

In the following questions, the symbols @, #, %, $, * are used with different meanings as follows :

‘A @ B’ means ‘A is not smaller than B’.

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

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

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

‘A ©B’ means ‘A is neither smaller than nor equal to B’.

In each of the following questions assuming the given statements to be true, find out which of the three conclusions I, II and III given below them is/are definitely true.

**Question 11: **Statements: J#R,R©D ,D@F

Conclusions: I: F$R

II. F% R

a) If only one conclusion I follow

b) If only one conclusion II follow

c) If either conclusion I or II follow

d) If neither conclusion I or nor II follow

e) If both conclusions follow

**11) Answer (A)**

**Solution:**

Statements: J#R -> J $\leq$ R

R©D -> R > D

D@F -> D $\geq$ F

Combining above statements, we get : $R > D \geq F$

Conclusions: I: F$R -> F < R (TRUE)

II. F% R -> F = R (FALSE)

Thus, only conclusion I follows.

**Question 12: **Statements: L@K,K©A ,A$W

Conclusions: I: W$L

II. L# W

a) If only one conclusion I follow

b) If only one conclusion II follow

c) If either conclusion I or II follow

d) If neither conclusion I or nor II follow

e) If both conclusions follow

**12) Answer (D)**

**Solution:**

Statements : L $\geq$ K , K > A , A < W

After combining them : L $\geq$ K > A < W

Conclusion I : W < L (FALSE)

II : L $\leq$ W (FALSE)

Thus, none of the conclusion follows.

**Question 13: **Statements: N@J,J%R ,R©H

Conclusions: I: R # N

II. N©H

a) If only one conclusion I follow

b) If only one conclusion II follow

c) If either conclusion I or II follow

d) If neither conclusion I or nor II follow

e) If both conclusions follow

**13) Answer (E)**

**Solution:**

Statements : N $\geq$ J , J = R , R > H

After combining them : N $\geq$ J = R > H

Conclusion I : R $\leq$ N (True)

II : N > H (True)

Thus, both conclusion follows.

**Question 14: **Statements: H©M, M@E ,E$C

Conclusions: I: C©M

II. H©E

a) If only one conclusion I follow

b) If only one conclusion II follow

c) If either conclusion I or II follow

d) If neither conclusion I or nor II follow

e) If both conclusions follow

**14) Answer (B)**

**Solution:**

Statements : H > M , M $\geq$ E , E < C

After combining them : H > M $\geq$ E < C

Conclusion I : C > M (False)

II : H > E (True)

Thus, only conclusion II follows.

**Question 15: **Statements: V$W,W@T ,T#H

Conclusions: I. V©T

II. H%W

a) If only one conclusion I follow

b) If only one conclusion II follow

c) If either conclusion I or II follow

d) If neither conclusion I or nor II follow

e) If both conclusions follow

**15) Answer (D)**

**Solution:**

Statements : V < W , W $\geq$ T , T $\leq$ H

After combining them : V < W $\geq$ T $\leq$ H

Conclusion I : V > T (False)

II : H = W (False)

Thus, none of the conclusion follows.

**Question 16: **Which of the following symbols should be placed in blank spaces respectively (in the same order from left to right) in order to complete the given expression in such a manner that both ‘W > R as well as ‘E ≥ S’ definitely hold true? W_E_A_R_ S

a) >, =, ≥, ≥

b) >, ≥, =, >

c) ≤, ≥, =, ≥

d) ≤, =, >, ≥

e) ≥, <, ≤, =

**16) Answer (A)**

**Solution:**

Given : $W>R$ and $E \geq S$

Now, for above statements to be true, the expression :

$W>E=A\geq R\geq S$

=> Ans – (A)

**Question 17: **Which of the following statements will be definitely true if the expression `V < E > B = H ≥ N ≥ P is definitely true?

a) P ≤ B

b) H < V

c) N ≤ V

d) E ≥ N

e) E ≥ P

**17) Answer (A)**

**Solution:**

Expression : V < E > B = H ≥ N ≥ P

=> $E>B=H\geq N\geq P$ and $E>V$

Thus, the only true statement is = $P\leq B$

=> Ans – (A)

**Instructions**

In the following questions, the symbols ∆,∑, @, © and # are used with the following meaning as illustrated below:

`X ∆ Y’ means `X’ is neither greater than nor equal to Y’.

`X ∑ Y’ means ‘X is not smaller than Y’.

‘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 neither smaller than nor equal to Y’.

Now in each of the following questions assuming the given statements to be true, find which of the two Conclusions I and II given below them is/are definitely true?

Give answer a: If only Conclusion I is true.

Give answer b: if only Conclusion II is true

Give answer c: if either Conclusion I or II is true.

Give answer d: if neither Conclusion I nor II is true.

Give answer e: if both Conclusions I and II are true.

**Question 18: **Statements :

Q ∆ B,M © B,K ∑ M

Conclusions :

I. K © B

II. Q ∆ K

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.

e) if both Conclusions I and II are true.

**18) Answer (B)**

**Solution:**

Statements : Q < B , M = B , K $\geq$ M

After combining them : K $\geq$ M = B > Q

Conclusion I : K = B (False)

II : Q < K (True)

Thus, only conclusion II is true.

=> Ans – (B)

**Question 19: **Statements :

G @ O, N ©O, H # G

Conclusions :

I. O ∆ H

II. G © N

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.

e) if both Conclusions I and II are true.

**19) Answer (D)**

**Solution:**

Statements : G $\leq$ O , N = O , H > G

After combining them : N = O $\geq$ G < H

Conclusion I : O < H (False)

II : G = N (False)

Thus, neither conclusion I nor II is true.

=> Ans – (D)

**Question 20: **Statements :

J © R,P ∑ R,Z # P

Conclusions :

I. R ∆ Z

II. J @ P

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.

e) if both Conclusions I and II are true.

**20) Answer (E)**

**Solution:**

Statements : J = R , P $\geq$ R , Z > P

After combining them : Z > P $\geq$ R = J

Conclusion I : R < Z (True)

II : J $\leq$ P (True)

Thus, both conclusion I and II are true.

=> Ans – (E)

**Question 21: **Statements :

W @ P, W # E, E ∆ V

Conclusions :

I. P # E

II. V © W

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.

e) if both Conclusions I and II are true.

**21) Answer (A)**

**Solution:**

Statements : W $\leq$ P , W > E , E < V

After combining them : P $\geq$ W > E < V

Conclusion I : P > E (True)

II : V = W (False)

Thus, only conclusion I is true.

=> Ans – (A)

**Question 22: **Statements :

R @ J,F ∑ J,C ∑ F

Conclusions:

I. R © C

II. C # R

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.

e) if both Conclusions I and II are true.

**22) Answer (C)**

**Solution:**

Statements : R $\leq$ J , F $\geq$ J , C $\geq$ F

After combining them : C $\geq$ F $\geq$ J $\geq$ R

Conclusion I : R = C

II : C > R

Because $C \geq R$ Thus, either conclusion I or II is true.

=> Ans – (C)

**Instructions**

Read the following information carefully and answer the questions which follow:

If ‘P * Q’ means ‘P is the mother of Q’.

If ‘P × Q’ means ‘P is the father of Q’.

If ‘P + Q’ means ‘P is the sister of Q’.

If ‘P — Q’ means P is the brother of Q’.

If ‘P > Q’ means ‘P is the son of Q’.

If ‘P < Q’ means ‘P is the daughter of Q’.

**Question 23: **In the expression ‘W > X < Y * Z’ how is W related to Z?

a) Nephew

b) Uncle

c) Son

d) Brother-in-law

e) None of these

**23) Answer (A)**

**Solution:**

Expression : W > X < Y * Z

W is the son of X and X is daughter of Y, => W is grandson of Y.

Y is mother of Z, => X is sister of Z.

Thus, W is nephew of Z.

=> Ans – (A)

**Question 24: **Which of the following means D is the aunt of C?

a) D > B * A + C

b) D + B — C * A

c) D — B — A × C

d) D + B × A × C

e) None of these

**24) Answer (E)**

**Solution:**

(A) : D > B * A + C, => D is the son of B, thus D is male and cant be aunt.

(B) : D + B — C * A

=> D is sister of B, who is brother of C, thus D is sister of C.

(C) : D — B — A × C

=> D is brother of B, thus D is male and cant be aunt.

(D) : D + B × A × C

=> D is sister of B, who is father of A, who is father of C, thus D is aunt of A, not of C.

=> Ans – (E)

**Question 25: **In the expression ‘P + Q > A — B’ how is P related to B?

a) Daughter

b) Son

c) Niece

d) Newphew

e) Cannot be determined

**25) Answer (C)**

**Solution:**

Expression = P + Q > A — B

=> P is the sister of Q, and Q is son of A, => P(female) and Q(male) are siblings.

Also, A is brother of B, => A is the father of P and Q.

Thus, P is the niece of B.

=> Ans – (C)

**Question 26: **Which of the following means P is the father of S?

a) P × Q < R * S

b) R × P < Q – S

c) R + S > Q + P

d) S + Q – R * P

e) Cannot be determined

**26) Answer (A)**

**Solution:**

(A) : P × Q < R * S

P is the father of Q, who is the daughter of R, => R is wife of P

Also, R is mother of S, => P is the father of S.

=> Ans – (A)

**Question 27: **In the expression ‘A × B + R > S’ how is S related to A?

a) Daughter-in-law

b) Daugher

c) Wife

d) Sister

e) Cannot be determined

**27) Answer (C)**

**Solution:**

Expression : A × B + R > S

A is the father of B and B is the sister of R.

R is the son of S.

=> A is the husband of S, their children are B(female) and R(male)

Thus, S is the **wife** of A.

=> Ans – (C)