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 Mathematical Operations Questions

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Q:

What is the value of P in the following Equation ?

 192.5 × 19p = 197

A) 3.9 B) 4.1
C) 3.7 D) 4.5
 
Answer & Explanation Answer: D) 4.5

Explanation:

Given equation is  

  192.5 ×19p = 197   

Here it is in the form of am × an = am+n  

 Here m = 2.5 , n = p, m+n = 7

 => 2.5 + p = 7 

 => p = 7 - 2.5

 => p = 4.5

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25 13129
Q:

If Q means 'add to', J means 'multiply by', T means 'substract from' and K means 'divide by' then 30 K 2 Q 3 J 6 T 5 = ? 

A) 18 B) 28
C) 31 D) 103
 
Answer & Explanation Answer: B) 28

Explanation:

Using Correct Symbols , We have :

Given expression = 30 / 2 + 3 x 6 - 5 = 15 + 18 - 5 = 28

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106 11945
Q:

12:30 :: 14: ?

A) 36 B) 28
C) 35 D) 42
 
Answer & Explanation Answer: C) 35

Explanation:

Here 12 x 2.5 = 30

 In the same way 14 x 2.5 = 35

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149 11888
Q:

The solution of 3(2u + v) = 7 uv and 3(u + 3v) = 11 uv is _____

 

A) u = 1, v = 0 B) u = 1, v = 3/2
C) u = 0, v = 3/4 D) u = 0, v = 1
 
Answer & Explanation Answer: B) u = 1, v = 3/2

Explanation:

Using Trial and error method,

From the options  u = 1, v = 3/2 satisfies both the equations.

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37 11784
Q:

In a cricket match, five batsmen P, Q, R, S and T scored an average of 36 runs. S Scored 5 more than T; T scored 8 fewer than P; Q scored as many as S and T combined; and Q and R scored 107 between them. How many runs did T score ?

A) 20 B) 29
C) 28 D) 24
 
Answer & Explanation Answer: A) 20

Explanation:

Let the runs scored by P, Q, R, S and T be  a, b, c, d and e

From given data,

a + b + c + d + e = 36 x 5 = 180
b + c = 107
Let a = x
e = x-8
d = x-3
now 3x - 11 + 107 = 180
3x = 84
x = 28
e's score = 28-8 = 20

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40 10517
Q:

What approximate value will come in place of question mark (?) in the following question ?

 (49.001)2  = ?

A) 2500 B) 2400
C) 2600 D) 2300
 
Answer & Explanation Answer: B) 2400

Explanation:

Given (49.001)2  = ?

=> =~ 49 x 49

=~ 2401

=~ 2400 

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32 9513
Q:

Find the Value of ?

5.112.2+5.553.3+6.31.4+7.22.001 = ? x 3.34

A) 81 B) 77
C) 73 D) 89
 
Answer & Explanation Answer: D) 89

Explanation:

This can be done in a method called Approximation.

Now, 

52 + 63 + 6 + 72 = ? x 3.3425 + 216 + 6 + 49 = ? x 3.34296 = ? x 3.34? = 2963.34 = 88.622 ≅ 89 

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25 8809
Q:

5x - 6 = 3x - 8

Solve the above equation.

A) 2 B) -1
C) -2 D) 1
 
Answer & Explanation Answer: B) -1

Explanation:

Given 5x - 6 = 3x - 8

5x - 3x = -8 + 6

2x = -2

=> x = -1.

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