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1.

In the following questions the symbol @,  , =, © and  are used with following meaning : [email protected] → P is greater than Q P  Q → P is either greater or equal to Q P  Q → is smaller than Q P Q → P is either smaller than or equal to Q P = Q → P is equal to Q. Now in each of the following equations, assuming the given statement, to be true, find which of the two conclusions I and II given below them is/are definitely true. Given answer (A) If only conclusion I is true, give answer (B) it only conclusion II is true, given answer (C) if either I or Ii is true, given answer (D) if neither I nor II is true, give answer (E) if both I and II are true.Statement : U = M, P  U, M  BConclusion : I. P = BII. P @ B

Answer»

(C) if either I or Ii is true, given answer 

2.

In the following questions :△means ‘is equal to’□ means ‘is not equal to’+ means ‘is greater than’- means ‘is less than’× means ‘is not greater than’÷ means is not less thanNow select the correct alternative in each of the following questions :a + b + c does not imply(A) b - a + c (B) c - b - a (C) c - a + b (D) b - a - c

Answer» (D) b - a - c
3.

In the following questions given below, use the following notations :A “ B means “add B to A”A ‘ B means “subtract B from A”A @ B means “divide A by B”A, B means “multiply A by B”The total airfare is calculated by adding 15% basic fare as fuel surcharge, 2% of basic fare as IATA charges and Rs. 200 s airport tax to the basic fare. if the basic fare of a section is B, which of the following will represent the total fare?(A) B ‘ (B , 15) @ 100” (B , 2) @ 100” 200(B) B” (B , 15) @ 100” (B, 2) @ 100” 200(C) B” (B , 15) @ 100” (B, 2) @ 100” 200(D) B” (B, 15) @ 100” (B, 2) @ 100” 100

Answer» (C) B” (B , 15) @ 100” (B, 2) @ 100” 200
4.

In the following questions :△means ‘is equal to’□ means ‘is not equal to’+ means ‘is greater than’- means ‘is less than’× means ‘is not greater than’÷ means is not less thanNow select the correct alternative in each of the following questions :a - b - c implies(A) a - b + c (B) b + a - c (C) c × b + a (D) b + a ÷ c

Answer» (B) b + a - c
5.

In the following questions find the relationship that can definitely be deducted on the basis two relationship given. The symbols used are as follows :□ means ‘greater than’, Δ means ‘less than’, - means ‘not equal to’, + means ‘equal to’IF B □ D, D Δ C, C □ A and B + A, therefore(A) C □ B (B) C Δ B (C) C - B (D) Can’t be determined

Answer»

correct answer is (A) C □ B  

6.

In each of the following questions, different alphabets stand for various symbols as indicated below :Addition: O Subtraction: M Multiplication: ADivision: Q Equal to: X Greater than: Y Less than: ZOut of the four alternatives given in these questions, only one is correct.(A) 32 X 8 Q 2 A 3 Q 1 A 2 (B) 10 X 2 A 3 A 2 M 2 Q 1(C) 2 Y 1 A 1 Q 1 O 1 A 1 (D) 16 Y 8 A 3 O 1 A 2 M 2

Answer» (B) 10 X 2 A 3 A 2 M 2 Q 1
7.

Answer the questions on the basis of the information given below, If ‘$’ represents ‘+’, ‘,’ represents ‘-’ ‘#’ represents ‘×’ and ‘@’ represent ‘/’ then answer the following questions based on the above given representation. Which of the following has the value equivalent of 5$ 6 # 2 $ 8 @ 4?(A) 4 # 7, 12 $ 2 # 1 (B) 8 # 2 , 3 $ 6 @ 3 (C) 8 @ 2 , 3 $ 6 # 3 (D) 4 $ 7 , 12 $ 2 # 1

Answer» (C) 8 @ 2 , 3 $ 6 # 3
8.

The following symbols have been used× stands for equal to< stands for not equal to- stands for greater than+ stands for not greater than> stands for less than= stands for not less thanIf p + q - r, then it is not possible that(A) p × q = r(B) p + q < r(C) p = q = r(D) p - q - r

Answer» (D) p - q - r
9.

The following symbols have been used× stands for equal to< stands for not equal to- stands for greater than+ stands for not greater than> stands for less than= stands for not less thanIf p × q × r, then it is not possible that(A) p + q = r (B) p = q + r (C) p + q + r (D) p = q = r

Answer» (A) p + q = r
10.

If &gt; denote +, &lt; denotes -, + denotes ÷, ^ denotes ×, - denotes =, x denotes &gt; and = denotes &lt;,choose the correct statement in the following questions.(A) 14 &gt; 18 + 9 = 16 + 4 &gt; 1 (B) 4 &gt; 3 ^ 8 &lt; 1 - 6 + 2 &gt; 24(C) 3 &lt; 6 ^ 4 &gt; 25 = 8 + 4 &gt; 1 (D) 12 &gt; 9 ^ 3 &lt; 6 × 25 + 5 &gt; 6

Answer» (B) 4 > 3 ^ 8 < 1 - 6 + 2 > 24
11.

In the following questions find the relationship that can definitely be deducted on the basis two relationship given. The symbols used are as follows: □ means greater then, Δ means less than - means not equal to + means equal toIf 8A Δ 6B and 3B Δ 4C, therefore(A) C □ A (B) C Δ A (C) 2C + A (D) C □ 2A

Answer»

(A) From the questions we get 8 A < 6 B or 4A < 3B and 3B M 4C which implies that 4A < 3B < 4C. From this relationship we conclude that 4a < 4C or A < C i.e., C  A.

12.

The following symbols have been used.x Stands for equal to< Stands for not equal to- Stands for greater than+ Stands for not greater than> Stands for less than= Stands for not less thanIf p + q = r, then it is not possible that(A) p > q > r (B) p < q + r (C) p × q > r (D) p + q × r

Answer»

(C) With the notations given,

p + q = r means p ≤ ≥ r

From option (A), p > q > r means p < q  r, this is true.

From option (B), p < q + r means p  q  r, this is true.

From option (C), p × q > r means p = q < r, this is not true.

From option (D), p + q × r means p  q = r, this is true.

13.

If ÷ means +, - means ÷, × means - and + means ×, then ((32 x 8) - 8 x 2)/(4 + 18 x 8 + 9/1) = ?(A) 0 (B) 1 (C) 12 (D) None of these

Answer» (B) 1 correct answer is
14.

Correct the following equation by interchanging two sign5 - × 45 + 15 ÷ 3 = 5(A) + and - (B) × and + (C) × and ÷ (D) × and -

Answer» The correct answer is (D) × and -.
15.

The following symbols have been used.x Stands for equal to&lt; Stands for not equal to- Stands for greater than+ Stands for not greater than&gt; Stands for less than= Stands for not less thanIf p = q = r, then it is possible that,(A) p &lt; q &gt; r (B) p x q x r (C) p &gt; q +r (D) p &gt; q &gt; r

Answer»

(B) With the notations given,

p = q = r means p  q  r

From option (A), p < q < r means p  q < r, this is not true.

From option (B), p × q × r means p = q = r, this is true

From option (C), p > q + r means p < q  r, this is not true.

From option (D), p > q > r means p < q < r, this is not true

16.

Answer the questions on the basis of the information given below, If ‘$’ represents ‘+’, ‘,’ represents ‘-’ ‘#’ represents ‘×’ and ‘@’ represent ‘/’ then answer the following questions based on the above given representation.What is the value of 4 # 3 $ 10 @ 5 $ 8 # 2, 18?(A) 10(B) 12(C) 6.8(D) 11.2

Answer» The correct answer is (B) 12
17.

In the following questions the symbol @, , =, © and  are used with following meaning : [email protected] → P is greater than Q P  Q → P is either greater or equal to Q P  Q → is smaller than Q P Q → P is either smaller than or equal to Q P = Q → P is equal to Q. Now in each of the following equations, assuming the given statement, to be true, find which of the two conclusions I and II given below them is/are definitely true. Given answer (A) If only conclusion I is true, give answer (B) it only conclusion II is true, given answer (C) if either I or Ii is true, given answer (D) if neither I nor II is true, give answer (E) if both I and II are true.Statement : B @ V, K © C, C  BConclusions : I. V @ CII. B @ K

Answer»

(B) it only conclusion II is true, given answer 

18.

Find out to sign to be interchanged for making the questions correct 10 + 10 ÷ 1 - 10 × 10 = 10(A) + and - (B) + and × (C) ÷ and x (D) + and ÷

Answer»

(B) By making the interchanges given in (A), the equation as

10 - 10 ¯ 10 + 10 × 10 = 10 or 109 = 10 which is false

By making the interchanges given in (B), the equation as

10 × 10 ÷ 10 - 10 + 10 = 10 or 10 = 10 which is true

By making the interchanges given in (C), the equation as

10 + 10 × 10 - 10 ÷ 10 = 10 or 109 = 10 which is false

By making the interchanges given in (D), the equation as

10 ÷ 10 + 10 - 10 ÷ 10 = 10 or - 89 = 10 which is false

19.

In the following questions the symbol @,  , =, © and  are used with following meaning : [email protected] → P is greater than Q P  Q → P is either greater or equal to Q P  Q → is smaller than Q P Q → P is either smaller than or equal to Q P = Q → P is equal to Q. Now in each of the following equations, assuming the given statement, to be true, find which of the two conclusions I and II given below them is/are definitely true. Given answer (A) If only conclusion I is true, give answer (B) it only conclusion II is true, given answer (C) if either I or Ii is true, given answer (D) if neither I nor II is true, give answer (E) if both I and II are true.Statement : H  G, D @ E, H = EConclusions : I. D @ HII. G © D

Answer»

(E) if both I and II are true.

20.

In the following questions the symbols $, @ ⊂,⊃ and ≠ are used with the following meaning. A $ B means A is greater than B A @ B means A is either greater than or equal to B A ⊂ B means is A is equal to B A ⊃ B means A is smaller than B A ≠ B means A is either smaller than or equal to B Now is each of the following questions assuming the given statements to be true, find which of the two conclusion I and II given below them is/are definitely true? Given answer (A) if only conclusion I is true, (B) if only conclusion II is true (C) if neither I nor Ii is true (D) if both I and II are true.Statements : D ≥ X, F @ Y, D $ FConclusion : I. X @ YII. Y ≠ D

Answer»

(C) As per the statement

X = D > F ≥ Y, from the conclusions

I. X  Y

II. Y  D

No conclusion follows

21.

In the following questions the symbols $, @ ⊂,⊃ and ≠ are used with the following meaning. A $ B means A is greater than B A @ B means A is either greater than or equal to B A ⊂ B means is A is equal to B A ⊃ B means A is smaller than B A ≠ B means A is either smaller than or equal to B Now is each of the following questions assuming the given statements to be true, find which of the two conclusion I and II given below them is/are definitely true? Given answer (A) if only conclusion I is true, (B) if only conclusion II is true (C) if neither I nor Ii is true (D) if both I and II are true.Statements : P @ Q, M ≠ N, N ⊂ QConclusion : I P $ MII. N ≠ P

Answer»

(B) As per the statement

 Q = N  M, Conclusion

I . P > Q.

II. N  O

Only conclusion (II) is completely correct

22.

Which of the following conclusion is correct according to the given expression and symbols?Expression (pEq) and (qEr)(A) pEr (B) pEr(C) rBp (D) rBp

Answer»

(A) pEq and qEr => p not greater q and q not greater r => p not greater  r => p Er

23.

In the following questions the symbols $, @ ⊂,⊃ and ≠ are used with the following meaning. A $ B means A is greater than B A @ B means A is either greater than or equal to B A ⊂ B means is A is equal to B A ⊃ B means A is smaller than B A ≠ B means A is either smaller than or equal to B Now is each of the following questions assuming the given statements to be true, find which of the two conclusion I and II given below them is/are definitely true? Given answer (A) if only conclusion I is true, (B) if only conclusion II is true (C) if neither I nor Ii is true (D) if both I and II are true.Statements : M ⊂ P, S $ T, M @ TConclusions: I. T ≤ PII. S ⊃ T

Answer»

(A) As per the statement

P = M  T < S, from the conclusions

I. T  P

II. S < T

Conclusion (I) is correct

24.

In the following questions the symbol @,  , =, © and  are used with following meaning : [email protected] → P is greater than Q P  Q → P is either greater or equal to Q P  Q → is smaller than Q P Q → P is either smaller than or equal to Q P = Q → P is equal to Q. Now in each of the following equations, assuming the given statement, to be true, find which of the two conclusions I and II given below them is/are definitely true. Given answer (A) If only conclusion I is true, give answer (B) it only conclusion II is true, given answer (C) if either I or Ii is true, given answer (D) if neither I nor II is true, give answer (E) if both I and II are true.Statement : K @ T, S = K, T RConclusions : I. S @ RII. T = R

Answer»

(D) if neither I nor II is true, give answer 

25.

In the following questions the symbol @, , =, © and  are used with following meaning : [email protected] → P is greater than Q P  Q → P is either greater or equal to Q P  Q → is smaller than Q P Q → P is either smaller than or equal to Q P = Q → P is equal to Q. Now in each of the following equations, assuming the given statement, to be true, find which of the two conclusions I and II given below them is/are definitely true. Given answer (A) If only conclusion I is true, give answer (B) it only conclusion II is true, given answer (C) if either I or Ii is true, given answer (D) if neither I nor II is true, give answer (E) if both I and II are true.Statement : B @ V, K © C, C  BConclusions : I. V @ CII. B @ K

Answer»

(B) it only conclusion II is true, given answer 

26.

In the following questions the symbol @,  , =, © and  are used with following meaning : [email protected] → P is greater than Q P  Q → P is either greater or equal to Q P  Q → is smaller than Q P Q → P is either smaller than or equal to Q P = Q → P is equal to Q. Now in each of the following equations, assuming the given statement, to be true, find which of the two conclusions I and II given below them is/are definitely true. Given answer (A) If only conclusion I is true, give answer (B) it only conclusion II is true, given answer (C) if either I or Ii is true, given answer (D) if neither I nor II is true, give answer (E) if both I and II are true.Statement : L  N, J P, IP  LConclusions: I. J = LII. P = N

Answer»

(D) if neither I nor II is true, give answer 

27.

If + is xm - is +, x is ÷ and ÷ is -, then what is the value of given equation 21 ÷ 8 + 2 - 12 × 3 = ?(A) 14 (B) 9 (C) 13.5 (D) 11

Answer»

(B) Using the proper signs, we get

21 - 8 × 2 + 12 ÷ 3 = 21 - 8 × 2 + 4

= 21 - 16 + 4 = 9.

28.

In the following questions the symbol @,  , =, © and  are used with following meaning : [email protected] → P is greater than Q P  Q → P is either greater or equal to Q P  Q → is smaller than Q P Q → P is either smaller than or equal to Q P = Q → P is equal to Q. Now in each of the following equations, assuming the given statement, to be true, find which of the two conclusions I and II given below them is/are definitely true. Given answer (A) If only conclusion I is true, give answer (B) it only conclusion II is true, given answer (C) if either I or Ii is true, given answer (D) if neither I nor II is true, give answer (E) if both I and II are true.Statement : H  G, D @ E, H = EConclusions : I. D @ HII. G © D

Answer»

(E) if both I and II are true.

29.

In the following questions the symbol @,  , =, © and  are used with following meaning : [email protected] → P is greater than Q P  Q → P is either greater or equal to Q P  Q → is smaller than Q P Q → P is either smaller than or equal to Q P = Q → P is equal to Q. Now in each of the following equations, assuming the given statement, to be true, find which of the two conclusions I and II given below them is/are definitely true. Given answer (A) If only conclusion I is true, give answer (B) it only conclusion II is true, given answer (C) if either I or Ii is true, given answer (D) if neither I nor II is true, give answer (E) if both I and II are true.Statement : U = M, P  U, M  BConclusion : I. P = BII. P @ B

Answer»

(C) if either I or Ii is true, given answer 

30.

In the correctly worked out multiplication problem at the below, each letter represent a different digit. What is the value of B?(A) 1 (B) 2 (C) 4 (D) 5

Answer» (B) The value of B is 2.
31.

In the following questions the symbol @,  , =, © and  are used with following meaning : [email protected] → P is greater than Q P  Q → P is either greater or equal to Q P  Q → is smaller than Q P Q → P is either smaller than or equal to Q P = Q → P is equal to Q. Now in each of the following equations, assuming the given statement, to be true, find which of the two conclusions I and II given below them is/are definitely true. Given answer (A) If only conclusion I is true, give answer (B) it only conclusion II is true, given answer (C) if either I or Ii is true, given answer (D) if neither I nor II is true, give answer (E) if both I and II are true.Statement : L  N, J P, IP  LConclusions: I. J = LII. P = N

Answer»

(D) if neither I nor II is true, give answer 

32.

In the following questions the symbol @,  , =, © and  are used with following meaning : [email protected] → P is greater than Q P  Q → P is either greater or equal to Q P  Q → is smaller than Q P Q → P is either smaller than or equal to Q P = Q → P is equal to Q. Now in each of the following equations, assuming the given statement, to be true, find which of the two conclusions I and II given below them is/are definitely true. Given answer (A) If only conclusion I is true, give answer (B) it only conclusion II is true, given answer (C) if either I or Ii is true, given answer (D) if neither I nor II is true, give answer (E) if both I and II are true.Statement : K @ T, S = K, T RConclusions : I. S @ RII. T = R

Answer»

(D) if neither I nor II is true, give answer 

33.

If x stands for addition, &lt; for substraction, + stands for division, &gt; for multiplication, - stands for equal to, ÷ for greater than and = stands for less than state which of the following is true?(A) 3 × 2 &lt; 4 ÷ 16 &gt; 2 + 4 (B) 5 &gt; 2 + 2 = 10 &lt; 4 × 2(C) 3 × 4 &gt; 2 - 9 + 3 &lt; 3 (D) 5 × 3 &lt; 7 ÷ 8 + 4 ÷ 1

Answer»

(B) Using proper nations, we have

(A) given statement is 3 + 2 - 4 > 16 × 2 ÷ 4 or 1 > 8, which is not true.

(B) given statement is 5 × 2 ÷ 2 < 10 - 4 + 2 or 5 < 8, which is true.

(C) given statement is 3 + 4 × 2 = 9 ÷ 3 - 3 or 11 = 0, which is not true.

(D) given statement is 5 + 3 - 7 > 8 ÷ 4 + 1 or 1 > 3, which is not true.

34.

(48 - 12) ÷ 4 + 6 ÷ 2 × 3 = ?

Answer»

(48 - 12) ÷ 4 + 6 ÷ 2 × 3 = 36 ÷ 4 + 6 ÷ 2 × 3 (Solving Bracket)

= 9 + 3 × 3 (Solving Division)

= 9 + 9       (Solving Multiplication)

= 18           (Solving Addition)