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SSC CGL Previous Year Questions: Mathematical Operation and Arithmetical


MCQ Practice Test & Solutions: SSC CGL Previous Year Questions: Mathematical Operation and Arithmetical Reasoning - 2 (30 Questions)

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  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 30 minutes
  • - Number of Questions: 30

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SSC CGL Previous Year Questions: Mathematical Operation and Arithmetical Reasoning - 2 - Question 1

The ratio of present ages of P and Q is 5 : 8. Three years later their ages will be in ratio 8 : 11. What is the present age (in years) of Q?      (SSC CGL 2017)

Detailed Solution: Question 1

Let  present age of P = 5x and present age of Q = 8x
According to question, After 3 years,

64x + 24 = 55x + 33
64 x – 55x = 33 – 24
9x = 9
x = 9/9 = 1
Present age of Q = 8x = 8 × 1 = 8 years.

SSC CGL Previous Year Questions: Mathematical Operation and Arithmetical Reasoning - 2 - Question 2

If “P”denotes “multiplied by”, “R”denotes “subtracted from”, “S” denotes “added to “ and “Q” denotes “divided by”, “then which of the following equation is true?       (SSC CGL 2017)

Detailed Solution: Question 2

The expression is : 15 S 16 Q 2 P 4 = 47
15 + 16 ÷ 2 × 4 = 47
47 = 47
So, option (b) is true.

SSC CGL Previous Year Questions: Mathematical Operation and Arithmetical Reasoning - 2 - Question 3

If 4 * 7 * 2 = 361 and 5 * 9 * 1 = 480, then 2 * 1 * 3 = ? (SSC CGL 2017)

Detailed Solution: Question 3

As,

Similarly,

SSC CGL Previous Year Questions: Mathematical Operation and Arithmetical Reasoning - 2 - Question 4

If “+” means “minus”, “×” means “divided by”, “ ÷ ” means “plus” and “–” means “multiplied by”, then 126 × 14 + 7 – 3 ÷ 2 = ?        (SSC CHSL 2017)

Detailed Solution: Question 4

If,

then,
126 ÷ 14 – 7 × 3 + 2 = – 10

SSC CGL Previous Year Questions: Mathematical Operation and Arithmetical Reasoning - 2 - Question 5

Some equations ar e solved on th e basis of cer tain system.Find out the correct answer for the unsolved equation on that basis.            (SSC MTS 2017)

If 12 × 9 = 810 and 15 × 9 = 513 then 13 × 8 = ?

Detailed Solution: Question 5

According to question;
As,

Similarly,

SSC CGL Previous Year Questions: Mathematical Operation and Arithmetical Reasoning - 2 - Question 6

The total age of a mother and her daughter is 60 years. The difference between their ages is 30 years. Find out the age of mother. (SSC MTS 2017)

Detailed Solution: Question 6

Let total age of a mother =  x
total age of her daughter = y
According to question, x + y = 60 ....(i)
x – y = 30 ....(ii)
from Eq. (i) and (ii)
x = 45
y = 15
∴ Age of mother = 45 years.

SSC CGL Previous Year Questions: Mathematical Operation and Arithmetical Reasoning - 2 - Question 7

If P denotes '÷ ', Q denotes '×', R denotes '+' and S denotes '– ', then 18Q12P4R5S6 is equal to:  (SSC MTS 2017)

Detailed Solution: Question 7

If P = ÷
Q = ×
R =  +
S = –
Then,  18 Q 12 P 4 R 5 S 6 = ?
⇒ 18 × 12 ÷ 4 + 5 – 6
⇒ 18 × 3 + 5 – 6
⇒ 59 – 6 = 53.

SSC CGL Previous Year Questions: Mathematical Operation and Arithmetical Reasoning - 2 - Question 8

In the following question, by using which math ematical operators will the expression become correct?

14 ? 2 ? 4 ? 6 ? 4   (SSC Sub. Ins. 2017)

Detailed Solution: Question 8

From option, (b)
14 ÷ 2 × 4 > 6 × 4
28 > 24
⇒ Option (b) is correct.

SSC CGL Previous Year Questions: Mathematical Operation and Arithmetical Reasoning - 2 - Question 9

In the following question, corr ect t he equation by interchanging two signs.   (SSC Sub. Ins. 2017)

43 + 9 – 6 ÷ 3 × 8 = 50

Detailed Solution: Question 9

From option (c) 43 – 9 + 6 ÷ 3 × 8 = 50
⇒ 43 – 9 + 2 × 8
⇒ 43 – 9 + 16
⇒ 50 = 50
So, option (c) is correct.

SSC CGL Previous Year Questions: Mathematical Operation and Arithmetical Reasoning - 2 - Question 10

If 4 * 9 % 2 =47 and 9 * 0 % 6 = 84, then 5 * 3 % 7 = ?   (SSC Sub. Ins. 2017)

Detailed Solution: Question 10

As, 49 – 2 = 47
90 – 6 = 84
Similarly,
53 – 7 = 46

SSC CGL Previous Year Questions: Mathematical Operation and Arithmetical Reasoning - 2 - Question 11

If 1/4/3 = 254 and 3/6/8 = 479, then 5/2/7 = ?   (SSC Sub. Ins. 2017)

Detailed Solution: Question 11

As 1/4/3 ⇒ (1 + 1)/ (4 + 1)/ (3 + 1) = 2/5/4 = 254
3/6/8 ⇒ (3 + 1)/ (6 + 1)/ (8 + 1) = 4/7/9 = 479
Similarly
5/2/7 ⇒ (5 + 1)/ (2 + 1) / (7 + 1) = 6/3/8 = 638

SSC CGL Previous Year Questions: Mathematical Operation and Arithmetical Reasoning - 2 - Question 12

If 85 × 5 – 3 = 20 and 18 × 2 –1 = 10, then 100 × 20 – 5 =?   (SSC Stenographer 2017)

Detailed Solution: Question 12

As, 85 × 5 – 3 = 20 ⇒ 85 ÷ 5 + 3 = 20
18 × 2 – 1 = 10 ⇒ 18 ÷ 2 + 1 = 10
Similarly,
100 × 20 – 5 = 10 ⇒ 100 ÷ 20 + 5 = 10

SSC CGL Previous Year Questions: Mathematical Operation and Arithmetical Reasoning - 2 - Question 13

By interchanging which two signs the equation will be correct?   (SSC Stenographer 2017)

25 + 18 ÷ 2 – 4 = 20

Detailed Solution: Question 13

Option (c) 25 + 18 ÷ 2 – 4 = 20
(By interchan ging + and –)
25 – 18 ÷ 2 + 4 = 20
25 – 9 + 4 = 20
So, option (c) is correct.

SSC CGL Previous Year Questions: Mathematical Operation and Arithmetical Reasoning - 2 - Question 14

Present ages of A and B are in ratio 3 : 5,  7 years later B's age will be twice the age of C. If C celebrated his 10th birthday 4 years ago, then what is the present age (in years) of A?   (SSC Stenographer 2017)

Detailed Solution: Question 14

Let present age of A and B be 3x and 5x.
According to question, C celebrated his 10th birthday 4 years ago,
Present age of C = 10 + 4 = 14
Now,
After 7 years,
(5x + 7) = 2 × (present age of C + 7)
5x + 7 = 2 (14 + 7)
5x + 7 = 2 × 21
5x = 42 – 7 = 35
x = 35/5
x = 7
∴ Present age of A = 3x = 3 × 7 = 21 years.

SSC CGL Previous Year Questions: Mathematical Operation and Arithmetical Reasoning - 2 - Question 15

If '–' denotes '+' '
÷' denotes '×'
'+' denotes '–'
'×' denotes '÷'
then 27 × 3 ÷ 6 + 9 – 8 = ?      (SSC Steno. 2016)

Detailed Solution: Question 15

= 27 ÷ 3 × 6 – 9 + 8
= 9 × 6 – 9 + 8
= 54 – 9 + 8
= 53

SSC CGL Previous Year Questions: Mathematical Operation and Arithmetical Reasoning - 2 - Question 16

What will be the correct mathematical signs that can be inserted in the following ? (SSC Steno. 2016)

4_6_2_4_8 = 30

Detailed Solution: Question 16

From the option (b) on putting the signs
4 × 6 + 2 – 4 + 8 = 30
24 + 2 – 4 + 8 = 30
22 + 8 = 30
30 = 30

SSC CGL Previous Year Questions: Mathematical Operation and Arithmetical Reasoning - 2 - Question 17

If ‘×’ means ‘addition’, ‘–’ means ‘division’, ‘/’ means ‘subtraction’ and ‘+’ means ‘multiplication’, then which of the equation is correct     (SSC CGL 1st Sit. 2016)

Detailed Solution: Question 17

If all the signs are changed as per given in the  question only 25 + 10 – 5/10 x 3 = 43 will be satisfied 25 × 10 ÷ 5
– 10 + 3 = 43

SSC CGL Previous Year Questions: Mathematical Operation and Arithmetical Reasoning - 2 - Question 18

In this question, some equations are solved on the basis of a certain system. On the same basis find out the correct answer from amongst the four alternatives for the unsolved equation.    (SSC CGL 1st Sit. 2016)

53 – 34 = 533
465 – 46 = 645
675 – 24 = ?

Detailed Solution: Question 18

SSC CGL Previous Year Questions: Mathematical Operation and Arithmetical Reasoning - 2 - Question 19

If ‘+’ means ‘/’, ‘/’ means ‘–’,’–’ means ‘×’, ‘×’ means ‘+’, then 24 + 8/2–6 × 6 = ?       (SSC CGL 1st Sit. 2016)

Detailed Solution: Question 19

24 + 8/2 – 6 × 6
will be written as

SSC CGL Previous Year Questions: Mathematical Operation and Arithmetical Reasoning - 2 - Question 20

In this question, some equations are solved on the basis of a certain system. On the same basis find out the correct answer from amongst the four alternatives for the unsolved equation.    (SSC CGL 1st Sit. 2016)

7 × 6 × 8 = 678
8 × 9 × 7 = 987
6 × 5 × 7 = 5675 × 4 × 6 = ?

Detailed Solution: Question 20


Similarly,

SSC CGL Previous Year Questions: Mathematical Operation and Arithmetical Reasoning - 2 - Question 21

If '×' means addition, '–' means division, '÷' means subtraction and '+' means multiplication, then which of the equations is correct?        (SSC CGL 1st Sit. 2016)

Detailed Solution: Question 21

Putting × = +, – = ÷, ÷ = – and + = ×
Only 16 + 5 – 10 × 4 ÷ 3 = 9
Satisfy the equation
16 × 5 ÷ 10 + 4 – 3 = 9
9 = 9

SSC CGL Previous Year Questions: Mathematical Operation and Arithmetical Reasoning - 2 - Question 22

If 4 × 5 × 2 = 524, 3 × 7 × 2 = 723 and 6 × 8 × 7 = 876 then 9 × 4 × 5 = ?        (SSC CGL 1st Sit. 2016)

Detailed Solution: Question 22


Therefore,

SSC CGL Previous Year Questions: Mathematical Operation and Arithmetical Reasoning - 2 - Question 23

If ' + ' means minus , ' - ' means multiplication, ' ÷ ' means plus, and '×' means division , then 15 - 3 + 10 × 5 ÷ 5 (SSC CGL 1st Sit. 2016)

Detailed Solution: Question 23

Putting + = – , – = ×; ÷ = + and × = ÷
in 15 – 3 + 10 × 5 ÷ 5
⇒ 15 × 3 – 10 ÷ 5 + 5
45 – 2 + 5 = 48

SSC CGL Previous Year Questions: Mathematical Operation and Arithmetical Reasoning - 2 - Question 24

A certain system is followed to solve the problem.      (SSC CGL 1st Sit. 2016)
Accordingly find out the correct answer from the alternatives for the unsolved equations.

7 × 4 × 9 = 479
9 × 5 × 2 = 592
6 × 9 × 5 = 965
8 × 6 × 2 = ?

Detailed Solution: Question 24

SSC CGL Previous Year Questions: Mathematical Operation and Arithmetical Reasoning - 2 - Question 25

The age of Dr. Pandey is four times the age of his son. After 10 years , the age of Dr. Pandey will be twice the age of his son . The present age of Dr. Pandey's son is          (SSC CGL 1st Sit. 2016)

Detailed Solution: Question 25

Age of Son = x,
Age of doctor = 4x
4x + 10 = 2(x + 10)
4x – 2x = 20 – 10
2x = 10
x = 5
Age of Son = 5 year

SSC CGL Previous Year Questions: Mathematical Operation and Arithmetical Reasoning - 2 - Question 26

Mona is 6 years younger to her husband and he is 5 times as old as his daughter Rina. If Rina was 5 years old 3 years back, what is the present age of Mona?       (SSC SI 2016)

Detailed Solution: Question 26

Let the age of Mona = x
Her husband age = y
Daughter's age = z
A/c to the question
y = x – 6      (1)
5z = x          (2)
z – 3 = 5      (3)

So, x = 5 × 8 = 40
Age of Mona = 40 – 6 = 34

SSC CGL Previous Year Questions: Mathematical Operation and Arithmetical Reasoning - 2 - Question 27

If 678 = 83, 476 = 75 and 567 = 80, what is 369 = ?     (SSC SI 2016)

Detailed Solution: Question 27

678 : 67/8 ⇒ Quotient (Q) = 8, Remainder (R) = 3 i.e = 83
476 : 47/6 ⇒ Q = 7, R = 5 i.e. 75
567 : 56/7 = Q = 8, R = 0 i.e. 80
369: 36/9 = Q = 4, R = 0 i.e. 40

SSC CGL Previous Year Questions: Mathematical Operation and Arithmetical Reasoning - 2 - Question 28

In a peculiar mathematical operation , plus means multiplication, minus means plus, divided means minus and multiplication means sum of digits of two numbers. Follow these rules and solve the following example.    (SSC SI 2016)

(6 × 7) – (8 × 9) – (10 × 11) = ?

Detailed Solution: Question 28

(6 × 7) – (8 × 9) – (10 × 11)
(6 + 7) + (8 + 9) + (10 + 11 )
13 + 17 +21 = 51

 

SSC CGL Previous Year Questions: Mathematical Operation and Arithmetical Reasoning - 2 - Question 29

A train starts from station A and reaches B 15 minutes late when it moves with 40 km/hr and 24 minutes late when it goes 30 km/hr. The distance between the two stations is    (SSC CGL 1st Sit. 2015)

Detailed Solution: Question 29

Let ‘D’ be the distance between A and B and T be the time taken by them
Then,
Distance = Speed × Time

Equating (1) and (2)


40T + 10 = 30T + 12

Putting ‘T’ value in equation (1), we get

= 18 km
Hence, the distance between the two stations is 18 km.

SSC CGL Previous Year Questions: Mathematical Operation and Arithmetical Reasoning - 2 - Question 30

If, + stands for division; × stands for addition ; – stands for multiplication : ÷ stands for subtraction, which of the following is correct ?        (SSC CGL 1st Sit. 2015)

A. 46 × 6 ÷ 4 – 5 + 3 = 74
B. 46 – 6 + 4 × 5 ÷ 3 = 71
C. 46 ÷ 6 × 4 – 5 + 3 = 75.5
D. 46 × 6 – 4 + 5 ÷ 3 = 70.1

Detailed Solution: Question 30

46 × 6 ÷ 4 + 5 – 3 = 46 × 1.5 + 5 – 3 = 69 + 5 – 3 = 71

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