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MCQ: Symbolic Operations - 2 - SSC CGL MCQ


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15 Questions MCQ Test - MCQ: Symbolic Operations - 2

MCQ: Symbolic Operations - 2 for SSC CGL 2024 is part of SSC CGL preparation. The MCQ: Symbolic Operations - 2 questions and answers have been prepared according to the SSC CGL exam syllabus.The MCQ: Symbolic Operations - 2 MCQs are made for SSC CGL 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for MCQ: Symbolic Operations - 2 below.
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MCQ: Symbolic Operations - 2 - Question 1

If 45 % 11 = 7, 59 % 34 = 7 then what is the value of 55 % 4 = ?

Detailed Solution for MCQ: Symbolic Operations - 2 - Question 1

(4 + 5) –(1 + 1) = 7

(5 + 9) – (3 + 4) = 7

(5 + 5) – 4 = 6

MCQ: Symbolic Operations - 2 - Question 2

If 23 @ 5 = 56; 6 @ 7 = 26; 5 @ 2 = 14; then what is the value of 7 @ 5 = ?

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MCQ: Symbolic Operations - 2 - Question 3

If ' + ' means ' ÷ ', ' ÷' means ' × ', ' × ' means ' - ' and ' - ' means ' + ' ; then what will be the value of the following expression?
15 ÷ 5 × 9 + 3 - 6 = ?

Detailed Solution for MCQ: Symbolic Operations - 2 - Question 3

15 ÷ 5 × 9 + 3 - 6 = ?

or ? = 15 × 5 - 9 ÷ 3 + 6

or ? = 15 × 5 -3 + 6 or ? = 81 - 3 = 78

MCQ: Symbolic Operations - 2 - Question 4

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

'P@ Q' means ‘P is not smaller than Q’,
'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’.
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) ifonlyconclusion II is true.
Give answer (c) if either conclusion I or conclusion II is true.
Give answer (d) if neither conclusion I nor conclusion II is true.
Give answer (e) if both conclusions I and II are true.

Statements: N@J, J%R, R©H

Conclusions:
I. R#N
II. N©H

Detailed Solution for MCQ: Symbolic Operations - 2 - Question 4

N @ J ⇒ N ≥ J
J % R ⇒ J = R
R © H ⇒ R > H

Hence, N ≥ J = R > H

Conclusions :

I. R # N ⇒ R ≤ N (True)
II. N © H ⇒ N > H (True)

MCQ: Symbolic Operations - 2 - Question 5

If 5 @ 1 = 60; 12 @ 8 = 200; 16 @ 2 = 180; then what is the value of 16 @ 10 = ?

Detailed Solution for MCQ: Symbolic Operations - 2 - Question 5

(5 + 1) × 10 = 60

(12 + 8) × 10 = 200

(16 + 2) × 10 = 180

(16 + 10) × 10 = 260

MCQ: Symbolic Operations - 2 - Question 6

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

'P@ Q' means ‘P is not smaller than Q’,
'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’.
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) ifonlyconclusion II is true.
Give answer (c) if either conclusion I or conclusion II is true.
Give answer (d) if neither conclusion I nor conclusion II is true.
Give answer (e) if both conclusions I and II are true.

Statements: % V $ W, W@T, T#H

Conclusions:
I. V©T
II. H%W

Detailed Solution for MCQ: Symbolic Operations - 2 - Question 6

V $ W ⇒ V < W
W @ T ⇒ W ≥ T
T # H ⇒ T ≤ H

Hence, V < W ≥ T ≤ H

Conclusions :

I. V © T ⇒ V > T ( False)
II. H % W ⇒ H = W ( False)

MCQ: Symbolic Operations - 2 - Question 7

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

'P@ Q' means ‘P is not smaller than Q’,
'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’.
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) ifonlyconclusion II is true.
Give answer (c) if either conclusion I or conclusion II is true.
Give answer (d) if neither conclusion I nor conclusion II is true.
Give answer (e) if both conclusions I and II are true.

Statements: L@K, K©A, A$W

Conclusions:
I. W$L
II. L#W

Detailed Solution for MCQ: Symbolic Operations - 2 - Question 7

L @ K ⇒ L ≥ K
K © A ⇒ K > A
A $ W ⇒ A < W

Hence, L ≥ K > A < W

Conclusions :

I. W $ L ⇒ W < L (False)
II. L # W ⇒ L d W ( False)

MCQ: Symbolic Operations - 2 - Question 8

If ' - ' means addition] ' × ' means subtraction] ' ÷ ' means multiplication and ' + ' means division; then what will be the value of the following expression?
20 × 12 + 4 - 16 ÷ 5 = ?

Detailed Solution for MCQ: Symbolic Operations - 2 - Question 8

20 × 12 + 4 – 16 ÷ 5 = ?

or ? = 20 – 12 ÷ 4 + 16 × 5

or ? = 20 – 3 + 80 = 97

MCQ: Symbolic Operations - 2 - Question 9

If 75 # 26 = 4, 69 # 53 = 7 then what is the value of 82 # 46 = ?

MCQ: Symbolic Operations - 2 - Question 10

'P' indicates '+'; 'R' indicates '÷'; 'T' indicates '–' and 'W' indicates '×'; then what will be the value of the following expression?
40 R 8 W 10 T 12 P 16 = ?

Detailed Solution for MCQ: Symbolic Operations - 2 - Question 10

40 R 8 W 10 T 12 P 16 = ?

or ? = 40 ÷ 8 × 10 -12 + 16

or ? = 5 × 10 - 12 + 16

or ? = 66 - 12 = 54

MCQ: Symbolic Operations - 2 - Question 11

If '★' means '×', '$' means '+', '#' means '÷' and '©' means '-'; then what will be the value of the following expression?360 # 24 $ 56 ★ 5 © 48

Detailed Solution for MCQ: Symbolic Operations - 2 - Question 11

? = 360 ÷ 24 + 56 × 5 – 48

⇒ ? = 15 + 280 – 48 = 247

MCQ: Symbolic Operations - 2 - Question 12

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

'P@ Q' means ‘P is not smaller than Q’,
'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’.
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) ifonlyconclusion II is true.
Give answer (c) if either conclusion I or conclusion II is true.
Give answer (d) if neither conclusion I nor conclusion II is true.
Give answer (e) if both conclusions I and II are true.

Statements: H © M, M @ E, E $ C

Conclusions:
I. C@M
II. H©E

Detailed Solution for MCQ: Symbolic Operations - 2 - Question 12

H © M ⇒ H > M
M @ E ⇒ M @ E ⇒ M ≥ E
E $ C ⇒ E < C

Hence, H > M E < C

Conclusions :

I. C @ M ⇒ C ≥ M (False)
II. H © E ⇒ H > E (True)

MCQ: Symbolic Operations - 2 - Question 13

If 9 @ 3 = 12; 15 @ 4 = 22; 16 @ 14 = 4; then what is the value of 6 @ 2 = ?

Detailed Solution for MCQ: Symbolic Operations - 2 - Question 13

(9 – 3) × 2 = 12

(15 – 4) × 2 = 22

(16 – 14) × 2 = 4

(6 – 2) × 2 = 8

MCQ: Symbolic Operations - 2 - Question 14

'+' means '×', '–' means '÷', '÷' means '+' and '×' means'–' ; then what will be the value of the following expression?540 – 36 + 12 ÷ 75 × 55

Detailed Solution for MCQ: Symbolic Operations - 2 - Question 14

? = 540 ÷ 36 × 12 + 75 – 55

or ? = 15 × 12 + 75 – 55

or ? = 180 + 75 – 55 = 200

MCQ: Symbolic Operations - 2 - Question 15

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

'P@ Q' means ‘P is not smaller than Q’,
'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’.
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) ifonlyconclusion II is true.
Give answer (c) if either conclusion I or conclusion II is true.
Give answer (d) if neither conclusion I nor conclusion II is true.
Give answer (e) if both conclusions I and II are true.

Statements: J#R, R©D, D@F

Conclusions:
I. F$R
II. F%R Mathematical Operation B-107

Detailed Solution for MCQ: Symbolic Operations - 2 - Question 15

J # R ⇒ J ≤ R
R © D ⇒ R > D
D @ F ⇒ D ≥ F

Hence, J ≤ R > D ≥ F

Conclusions :

I. F $ R ⇒ F < R (False)
II. F % R ⇒ F = R (False)

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