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


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

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

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

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

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