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SSC Study Material: - Mathematical Operations Type-1

In this article, we have prepared 25 questions based on Problem solving by substitution method as it is very necessary from the point of view of questions asked in SSC exams.

Dec 8, 2016 18:00 IST
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In this article, The expert SSC team of www.jagranjosh.com  has prepared a set of 25 questions covering the Mathematical Operations of type-1 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 4 types of problems in Mathematical Operations.

  1. Problem solving by substitution
  2. Equation Balancing
  3. Interchanging Signs and numbers
  4. Trick based Mathematical Operations

 

Here are the practice questions. Go through it.

TYPE 1: PROBLEM-SOLVING BY SUBSTITUTION

 

1. If ‘+’ means ‘minus’, ‘×’ means ‘divided by’, ‘+’ means ‘plus’ and ‘─’ means ‘multiplied by’, then which of the following will be the value of the expression 252 × 9 ─ 5 + 32 ÷ 92?

a. 95

b. 168

c. 192

d. 200

e. None of these

 

2. If + means ×, × means ─, ÷ means + and ─ means ÷, then which of the following gives the result of 175 ─ 25 ÷ 5 + 20 × 3 + 10?

a. 77

b. 160

c. 240

d. 2370

 

3. If L stands for +, M stands for ─, N stands for ×, P stands for ÷, then

14 N 10 L 42 P 2 M 8 = ?

a. 153

b. 216

c. 248

d. 251

 

4. If ‘<’ means ‘minus’, ‘>’ means ‘plus’, ‘=’ means ‘multiplied by’ and ‘$’ means ‘divided by’, then what would be the value of 27 > 81 $ 9 < 6 ?

a. 6

b. 33

c. 36

d. 54

e. None of these

 

5. If ‘+’ means ‘divided by’, ‘─’ means ‘added to’, ‘×’ means ‘subtracted from’ and ‘÷’ means ‘multiplied by’, then what is the value of 24 ÷ 12 ─ 18 + 9 ?

a. ─ 25

b. 0.72

c. 15.30

d. 290

e. None of these

 

6. If $ means +, # means ─, @ means × and * means ÷, then what is the value of 16 $ 4 @ 5 # 72 * 8 ?

a. 25

b. 27

c. 29

d. 36

e. None of these

 

7. If ÷ means ×, × means +, + means ─ and ─ means ÷, find the value of 16 × 3 + 5 ─ 2 ÷ 4.

a. 9

b. 10

c. 19

d. None of these

 

8. If + means ÷, ÷ means ─, ─ means ×, × means +, then 12 + 6 ÷ 3 ─ 2 × 8 = ?

a. ─ 2

b. 2

c. 4

d. 8

 

9. If ÷ means +, ─ means ÷, × means ─ and + means ×, then

a. 0

b. 8

c. 12

d. 16

 

10.  If ‘+’ means ‘divided by’, ‘─’ means ‘add’, ‘×’ means ‘minus’ and ‘/’ means ‘multiplied by’, what will be the value of the following expression?

[{(17 ×12) ─ (4/2)} + (23 ─ 6)]/0

a. infinite

b. 0

c. 118

d. 219

 

11. If + stands for ×, ─ for ÷, × for ─ and ÷ for + , find  the value of 26 + 74 ─ 4 × 5 ÷ 2.

a. 220

b. 376

c. 478

d. 488

 

12. If Q means ‘add to’, J means ‘multiply by’, T means ‘subtract from’ and K means ‘divide by’, then 30 K 2 Q 3 J 6 T 5 = ?

a. 18

b. 28

c. 31

d. 103

e. None of these

 

13. If P denotes ÷, Q denotes ×, R denotes + and S denotes ─, then what is the value of 18 Q 12 P 4 R 5 S 6 ?

a. 53

b. 59

c. 63

d. 65

 

14. If P means ‘division’, T means ‘addition’, M means ‘subtraction’ and D means ‘multiplication’, then what will be the value of the expression 12 M 12 D 28 P 7 T 15 ?

a. ─ 30

b. ─ 15

c. 15

d. 45

e. None of these

 

15. If P means ×, R means +, T means ÷ and S means ─, then 18 T 3 P 9 S 8 R 6 = ?

a.

 

b.

 

c. 46

 

d. 58

 

e. None of these

 

16.  If P denotes ‘multiplied by’, T denotes ‘subtracted from’, M denotes ‘added to’ and B denotes ‘divided by’, then 28 B 7 P 8 T 6 M 4 = ?

a.

 

b. 30

c. 32

d. 34

e. None of these

 

17.  If ‘when’ means ‘×’, ‘you’ means ‘÷’, ‘come’ means ‘─’ and ‘will’ means ‘+’, then what will be the value of “8 when 12 will 16 you 2 come 10”?

a. 45

b. 94

c. 96

d. 112

e. None of these

 

18. If ‘─’ stands for ‘division’, ‘+’ for ‘multiplication’, ‘÷’ for ‘subtraction’ and ‘×’ for ‘addition’, then which one of the following equations is correct ?

a. 4 × 5 + 9 ─ 3 ÷ 4 = 15

b. 4 × 5 × 9 + 3 ÷ 4 = 11

c. 4 ─ 5 ÷ 9 × 3 ─ 4 = 17

d. 4 ÷ 5 + 9 ─ 3 + 4 = 18

 

19. If ‘+’ stands for ‘division’, ‘÷’ stands for ‘multiplication’, ‘×’ stands for ‘subtraction’ and ‘─’ stands for ‘addition’, which one of the following is correct?

a. 18 ÷ 6 × 7 + 5 ─ 2 = 22

b. 18 × 6 + 7 ÷ 5 ─ 2 = 16

c. 18 ÷ 6 ─ 7 + 5 × 2 = 20

d. 18 + 6 ÷ 7 × 5 ─ 2 = 18

 

20. If ‘─’ stands for ‘division’, ‘+’ for ‘multiplication’, ‘÷’ for ‘subtraction’ and ‘×’ for ‘addition’, which one of the following equations is correct ?

a. 6 + 20 ─ 12 ÷ 7 ─ 1 = 38

b. 6 ─ 20 ÷ 12 × 7 + 1 = 57

c. 6 + 20 ─ 12 ÷ 7 × 1 = 62

d. 6 ÷ 20 × 12 + 7 ─ 1 = 70

 

21. If ‘×’ stands for ‘addition’, ‘<’ for ‘subtraction’, ‘+’ for ‘division’, ‘>’ for ‘multiplication’, ‘─’ for ‘equal to’, ‘÷’ for ‘greater than’ and ‘=’ for ‘less than’, then state which of the following is true?

a. 3 × 4 > 2 ─ 9 + 3 < 3

b. 5 × 3 < 7 ÷ 8 + 4 × 1

c. 5 > 2 + 2 = 10 < 4 × 8

d. 3 × 2 < 4 ÷ 16 > 2 + 4

 

22. If ‘÷’ stands for ‘greater than’, ‘×’ stands for ‘addition’, ‘+’ stands for ‘division’, ‘─’ stands for ‘equal to’, ‘>’ stands for ‘multiplication’, ‘=’ stands for ‘less than’ and ‘<’ stands for ‘minus’, then which of the following alternatives is correct?

a. 5 > 2 < 1 ─ 3 × 4 × 1

b. 5 < 2 × 1 + 3 > 4 × 1

c. 5 > 2 × 1 ─ 3 > 4 < 1

d. 5 + 2 × 1 = 3 + 4 > 1

 

23. If ÷ implies =, × implies <, + implies >, ─ implies ×, > implies ÷, < implies +, = implies ─, identify the correct expression.

a. 1 ─ 3 > 2 + 1 ─ 5 = 3 ─ 1 < 2

b. 1 ─ 3 > 2 + 1 × 5 = 3 × 1 > 2

c. 1 × 3 > 2 + 1 × 5 × 3 ─ 1 > 2

d. 1 ─ 3 > 2 + 1 × 5 + 3 ─ 1 > 2

 

Directions (Questions 24 -25): In each of the following questions, some symbols are represented by letters as shown below:

+

×

÷

=

B

G

E

C

D

A

F

Now, identify the correct expression in each case.

 

24.

a. 18 C 3 D 6 B 8 C 4 G 12

b. 18 A 3 E 6 B 8 G 4 B 12

c. 18 C 3 G 6 B 8 B 4 D 12

d. 18 F 3 B 6 E 8 G 4 E 12

 

25.

a. 15 B 5 G 8 B 4 G 6 F 3

b. 15 C 15 B 8 F 4 B 6 C 3

c. 15 A 5 E 8 C 4 B 6 E 3

d. 15 C 5 F 8 C 4 B 6 C 3

Find complete answer key in PDF here

All the Best!!!!

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