Symbolic Operations(Reasoning Aptitude ) Questions and answers for exam Preparation

Reasoning Aptitude

SYMBOLIC OPERATIONS MCQs

Symbols And Notations

Total Questions : 57 | Page 4 of 6 pages

Question 31. If P denotes ‘+’, Q denotes ‘–‘, R denotes ‘×’ and S denotes
‘÷’, then which of the following statement is correct ?

16 R 12 P 49 S 7 Q 9 = 200
32 S 8 R 9 = 160 Q 12 R 12
8 R 8 P 8 S 8 Q 8 = 57
36 R 4 S 8 Q 7 P 4 = 10

Discuss Question

Answer: Option C. -> 8 R 8 P 8 S 8 Q 8 = 57

Solution
= 8 × 8 + 8 ÷ 8 – 8
= 8 × 8 + (8/8) – 8
= 64 +1 – 8 = 57

Question 32. If ‘+’ stands for ‘multiplication’, ‘<’ stands for ‘division’, ‘÷’ stands
for ‘subtraction’, ‘–‘ stand for ‘addition’ and ‘×’ stands for ‘greater’
than. Identify which expression is correct?

20 – 40 + 4 + 8 < 2 × 26
20 × 8 + 15 < 5 ÷ 9 - 8
20 < 2 + 10 ÷ 4 – 6 × 100
20 < 5 + 25 ÷ 10 – 2 × 96

Discuss Question

Answer: Option C. -> 20 < 2 + 10 ÷ 4 – 6 × 100

Solution
20 < 2 + 10 ÷ 4 – 6 × 100
= 20 ÷ 2 × 10 – 4 + 6 > 100
= 10 × 10 – 4 + 6 > 100
= 106 – 4 > 100
= 102 > 100

Question 33. If ‘+’ means ‘÷’, ‘–‘ means ‘×’, ‘×’ means ‘+‘, ‘÷’ means ‘– ‘, given the
value of 45 + 9 – 3 × 15 ÷ 2.

Discuss Question

Answer: Option D. -> 28

Solution
45 + 9 – 3 × 15 ÷ 2.
Conversion according to question.
→ 45 ÷ 9 × 3 + 15 – 2.
= 5 × 3 + 15 – 2.
= 15 + 15 – 2 = 28.

Question 34. If ‘–‘ stands for ‘÷’, ‘+’ stands for ‘×’, ‘÷’ stand for ‘–‘ and ‘×’ stands
for ‘+’, which one of the following question is correct?

30 – 6 + 5 × 4 ÷ 2 = 27
30 + 6 – 5 ÷ 4 × 2 = 30
30 × 6 ÷ 5 – 4 + 2 = 32
30 ÷ 6 × 5 + 4 – 2 = 40

Discuss Question

Answer: Option A. -> 30 – 6 + 5 × 4 ÷ 2 = 27

Solution
After interchanging the signs,
30 ÷ 6 × 5 + 4 – 2 = 27
→ 5 × 5 + 4 – 2 = 27.
→ 29 – 2 = 27.
→ 27 = 27.

Question 35. If ‘R’ stands for ‘–‘, ‘A’ stands for ‘+’, ‘B’ stands for ‘÷’ and ‘C’
stands for ‘×’, then what is the value of the given equation ?(BODMAS
rule will not be applicable).
25 A 37 C 2 B 4 R 1 = ?

Discuss Question

Answer: Option C. -> 30

Solution
Given equation = 25 A 37 C 2 B 4 R 1
According to the question, after putting signs
= 25 + 37 × 2 ÷ 4 – 1
= 62 × 2 ÷ 4 – 1
= 124 ÷ 4 – 1
= 31 – 1 = 30

Question 36. If ‘+’ means ‘divided by’, ‘–‘ means ‘added to’, ‘×’ means ‘subtracted
from’ and ‘÷’ means ‘multiplied by’, then what is the value of 15 ÷ 12 –
36 + 3 ?

Discuss Question

Answer: Option C. -> 192

Question 37. If ‘+’ stands for ‘×’, ‘–‘ for ‘÷’, ‘×’ for ‘–‘ and ‘÷’ for ‘+’, find the value
of 12 + 90 – 5 × 9 ÷ 3.

Discuss Question

Answer: Option C. -> 215

Question 38. Direction: In the following question, the equations have become wrong because of the wrong order of signs. Choose the correct order of signs from the four options given below, so as to make the equations right.

17 – 3 × 6 = 45.

×, =, –
×, –, =
–, ×, =
=, –, ×

Discuss Question

Answer: Option B. -> ×, –, =

Question 39. Direction: In the following question, the equations have become wrong because of the wrong order of signs. Choose the correct order of signs from the four options given below, so as to make the equations right.

40 – 45 × 5 = 1

–, ×, =
=, ×, –
×, =, –
=, –, ×

Discuss Question

Answer: Option D. -> =, –, ×

Question 40. Direction: In the following question, the equations have become wrong because of the wrong order of signs. Choose the correct order of signs from the four options given below, so as to make the equations right.

10 ÷ 2 = 6 – 14