Practice Mathematical operations problems - verbal reasoning Online Quiz (set-2) For All Competitive Exams

Q-1)   If + means -, - means x, ÷ means + and x means ÷, then 15 - 3 + 10 x 5 ÷ 5 = ?

(a)

(b)

(c)

(d)

Explanation:

Using the correct symbols,

we have: Given expression

= 15 x 3- 10 ÷ 5 + 5 (using VBODMAS rule)

= 45 - 2 + 5

= 50 - 2 = 48.


Q-2)   If x means +, + means ÷, – means x and ÷ means -, then 8 x 7 – 8 + 40 ÷ 2 =?

(a)

(b)

(c)

(d)

Explanation:

Using the correct symbols,

we have: Given expression

= 8 + 7 x 8 ÷ 40 - 2

= 8 + 7 x $1/8$ - 2

= 6 + = 6 + $1/5$

= $ 37/5$ = 7$2/5$


Q-3)   If '×' means subtraction, '+' means multiplication and '-' means addition, then find the value of following equation. 12 + (3 × 1) + 4 - 1 = ?

(a)

(b)

(c)

(d)

Explanation:

According to the question,

? = 12 + (3 × 1) + 4 - 1

from the question by changing the symbols, we get

= 12 × (3 - 1) × 4 + 1 (using VBODMAS rule)

= 12 × 2 × 4 + 1

= 96 + 1 = 97


Q-4)   If x means ÷, - means x, ÷ means + and + means -, then (3 - 15 ÷ 19) x 8 +6 =?

(a)

(b)

(c)

(d)

Explanation:

Using the correct symbols,

we have: Given expression

= (3 x 15 + 19) ÷ 8 - 6 

= 64 ÷ 8 - 6

= 8 - 6 = 2.


Q-5)   If ‘when' means ‘x', 'you' means ‘÷', 'come' means ‘-’and 'will' means ‘+’, then what will be the value of "8 when 12 will 16 you 2 come 10"?

(a)

(b)

(c)

(d)

(e)

Explanation:

Using the correct symbols,

we have: Given expression

 = 8 x 12 + 16 ÷ 2 - 10

= 96 + 8 - 10

= 104 - 10 = 94.


Q-6)   Given, B = 8, L = 7, O = 5, C =9 and K =4. Using the given total, find out the missing symbol in the block.

L ? K K K = 24

(a)

(b)

(c)

(d)

Explanation:

L ? K K K = 24

According to the question,

7 + ? + 4 + 4 + 4 = 24

⇒ ? = 24 - 19= 5=0

Hence, O is the missing symbol in the given.


Q-7)   If '÷' means addition and '×' means subtraction, then (15 × 9) ÷ (12 × 4) × (4 ÷ 4) is equal to

(a)

(b)

(c)

(d)

Explanation:

According to the question,

Required answer =  (15 × 9) ÷ (12 × 4) × (4 ÷ 4)

from the question by changing the symbols, we get

= (15 - 9) + (12 - 4) - (4 + 4) (using VBODMAS rule)

= 6 + 8 - 8

= 6




Q-8)   If A means ‘-’, B means '+', C means 'x', and D means '÷', then 32 D 4 B 7 C 2 A 6

(a)

(b)

(c)

(d)

(e)

Explanation:

According to the question,

32 D 4 B 7 C 2 A 6  

from the question by changing the alphabets, we get

= 32 ÷ 4 + 7 x 2 - 6 (using VBODMAS rule)

= 8 + 7 x 2 - 6

= 8 + 14 - 6

= 22 - 6 = 16




Q-9)   If K denotes ‘x', 'B' denotes ‘÷', ‘T’ denotes ‘-’ and 'M' denotes '+', then 40 B 8 T 6 M 3 K 4 = ?

(a)

(b)

(c)

(d)

(e)

Explanation:

According to the question,

 40 B 8 T 6 M 3 K 4 = ?

from the question by changing the alphabets, we get 

 ⇒  40 ÷ 8 - 6 + 3 x 4 = ? (using VBODMAS rule)

⇒ 5 - 6 + 12 = ?

⇒ 17 - 6 = ?

Therefore ? = 11




Q-10)   If S means '-', Q means 'X', R means ‘÷’ and P means '+’, then 1 P 45 R 2 Q 2 S 4 = ?

(a)

(b)

(c)

(d)

(e)

Explanation:

According to the question,

 1 P 45 R 2 Q 2 S 4

from the question by changing the alphabets, we get 

= 1 + 45 ÷ 2 x 2 - 4 (using VBODMAS rule)

= 1 + 22.5 x 2 - 4

= 1 + 45 - 4 = 42


Directions:

What should be the correct signs to balance the following equation?

Q-11)   6 5 4 = 34

(a)

(b)

(c)

(d)

Explanation:

Let us check all the options one by one.

From option (a),

6 -5 + 4 = 34 (using VBODMAS rule)

⇒ 10 - 5 = 34 ⇒ 5= 34

∴ LHS ≠ RHS 

So, option (a) is incorrect.

From option (b),

6 x 5+ 4 = 34 (using VBODMAS rule)

⇒ 30+ 4 = 34 ⇒ 34 = 34

⇒ LHS = RHS

So, option (b) gives us the correct answer and hence, there is no need to check remaining options.


Directions:

What should be the correct signs to balance the following equation?

Q-12)   65 40 11=36

(a)

(b)

(c)

(d)

Explanation:

Let us check all the options one by one.

From option (a),

65 - 40 + 11 = 36

⇒  76 - 40 = 36

⇒ 36 = 36

⇒ LHS = RHS

So, option (a) is correct and hence there is no need to check remaining options.


Directions:

What should be the correct signs to balance the following equation?

Q-13)   17 - 3 x 6 = 45

(a)

(b)

(c)

(d)

Explanation:

From option (a),

17 - 3 x 6 = 45

By interchanging the signs, from the options. We get,

⇒ 17 x 3 - 6 = 45 (using VBODMAS rule)

⇒  51- 6 = 45

⇒  45 = 45

LHS = RHS

∴ So, option (a) is correct.


Directions:

What should be the correct signs to balance the following equation?

Q-14)   3 + 2 × 1=7

(a)

(b)

(c)

(d)

Explanation:

Let us check all the options one-by-one.

From option (a).

3+2 x 1 = 7

By interchanging the signs, from the options. We get,

⇒  3 x 2 + 1=7 (using VBODMAS rule)

⇒  6 + 1 =7 ⇒ 7 = 7

∴ LHS = RHS

As an option (a) gives us a correct answer, there is no need to check the remaining options.


Directions:

What should be the correct signs to balance the following equation?

Q-15)   7 4 8 2 = 24

(a)

(b)

(c)

(d)

Explanation:

Let us check all the options one-by-one.

From option (a),

7- 4 x 8 x 2 = 24 (using VBODMAS rule)

⇒ 7 - 64 = 24

⇒  - 57 = 24

∴ LHS ≠ RHS

So, option (a) is incorrect.

From option (b),

7-4 x 8 ÷2 = 24 (using VBODMAS rule)

⇒  7- 4 x 4 = 24 ⇒ 7 - 16 =24

⇒ -9 = 24

⇒ LHS ≠ RHS

So, option (b) is incorrect.

From option (c),

7 x 4 - 8 ÷ 2=24 (using VBODMAS rule)

⇒ 7 x 4- 4 = 24

⇒ 28 - 4 = 24

⇒ 24 = 24

⇒ LHS =RHS

So, option (c) is correct and hence, there is no need to check option (d).


Directions:

If > denotes +, < denotes -, + denotes ÷, ^ denotes ×, - denotes =, × denotes > and = denotes < , choose the correct statement in each of the following questions.

[B.T.M. 2005]

Q-16)   Convert the signs according to the given direction and find the result of the expression?

(a)

(b)

(c)

(d)

Explanation:

Using the proper notations in (a),

we get the statement as:

7 + 7 – 7 ÷ 7 < 14

or 13 < 14,

which is true.


Q-17)   Select the correct combination of mathematical signs to replace ‘*’ signs and to balance the given equation.

24 * 34 * 2 * 5 * 12

(a)

(b)

(c)

(d)

Explanation:

From option (c).

24 = 34 ÷ 2 - 5+ 12

⇒ 24 = 17 - 5+12

⇒ 24 = 29 -5

⇒ 24 = 24


Q-18)   Select the correct combination of mathematical signs to replace* signs and to balance the given equation.

9* 3 * 3 * 3 * 6

(a)

(b)

(c)

(d)

Explanation:

Since, 9 ÷ 3 x 3 - 3 = 6

⇒ 3 x 3 - 3 = 6

⇒ 9 - 3 = 6

⇒  6 = 6


Q-19)   If ‘÷' stands for ‘greater than', ‘x’ 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)

(b)

(c)

(d)

Explanation:

Using the proper notations in (c),

we get the statement as:

5 x 2 + 1 = 3 × 4 - 1

or 10 + 1 = 12 - 1

or 11 = 11,

which is true.


Q-20)   If ‘x’ 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)

(b)

(c)

(d)

Explanation:

Using the proper notations in (c),

we get the statement as:

5 x 2 ÷ 2 < 10 - 4 + 8

or 5 x 1< 18 - 4

or 5 < 14,

which is true.