Simplification MCQ Quiz - Objective Question with Answer for Simplification - Download Free PDF
Last updated on Jul 7, 2025
Latest Simplification MCQ Objective Questions
Simplification Question 1:
50% of 9642 + 40% of 2255 + 12.5% of 384 =?
Answer (Detailed Solution Below)
Simplification Question 1 Detailed Solution
Given:
50% of 9642 + 40% of 2255 + 12.5% of 384
Concept used:
Follow BODMAS rule to solve this question, as per the order given below,
Calculation:
According to the question,
50% of 9642 + 40% of 2255 + 12.5% of 384
⇒ (1/2) × 9642 + (2/5) × 2255 + (1/8) × 384
⇒ 4821 + 902 + 48
⇒ 5771
∴ 5771
Simplification Question 2:
Answer (Detailed Solution Below)
Simplification Question 2 Detailed Solution
Given:
Formula used:
Law of exponents:
ap × aq = ap + q
Calculations:
Let's simplify the Left Hand Side (LHS) of the equation:
LHS =
Rewrite
So, LHS =
Using the property
LHS =
LHS =
Now, let's simplify the Right Hand Side (RHS) of the equation:
RHS =
RHS =
Now, equate the simplified LHS and RHS:
Since the bases are the same, the exponents must be equal:
12 = -9m - 7
12 + 7 = -9m
19 = -9m
∴ The value of m which satisfies the given equation is
Simplification Question 3:
Simplify: 194 + [6 x (1 - 6 + 5)] ÷ 12
Answer (Detailed Solution Below)
Simplification Question 3 Detailed Solution
Given:
194 + [6 × (1 - 6 + 5)] ÷ 12
Calculation:
194 + [6 × (1 - 6 + 5)] ÷ 12
⇒ 194 + [6 × (0)] ÷ 12
⇒ 194 + 0 ÷ 12
⇒ 194 + 0
⇒ 194
∴ The correct answer is option (4).
Simplification Question 4:
Solve : 70 +
Answer (Detailed Solution Below)
Simplification Question 4 Detailed Solution
Given:
Solve: 70 + (72/6) + 29 - 30
Formula used:
Use BODMAS (Bracket, Order, Division/Multiplication, Addition/Subtraction) rule to solve.
Calculation:
70 + (72/6) + 29 - 30
⇒ 70 + 12 + 29 - 30
⇒ 70 + 12 + 29 = 111
⇒ 111 - 30 = 81
∴ The correct answer is option (2).
Simplification Question 5:
Answer (Detailed Solution Below)
Simplification Question 5 Detailed Solution
Given:
Calculation:
⇒
⇒
⇒
⇒
The correct answer is Option (4).
Top Simplification MCQ Objective Questions
Answer (Detailed Solution Below)
Simplification Question 6 Detailed Solution
Download Solution PDFConcebt used
a.b̅ = a.bbbbbb
a.0b̅ = a.0bbbb
Calculation
0.7 = 0.700000 ̇....
Now, 0.7777… or
What is the value of
Answer (Detailed Solution Below)
Simplification Question 7 Detailed Solution
Download Solution PDFSolution:
= 25/2 + 37/3 + 73/6
= (75 + 74 + 73)/6
= 222/6
= 37
Shortcut Trick
= 12 + 12 + 12 + (1/2 + 1/3 + 1/6)
= 36 + 1 = 37
What will come in the place of question mark (?) in the following question?
Answer (Detailed Solution Below)
Simplification Question 8 Detailed Solution
Download Solution PDFSolution:
We have to follow the BODMAS rule
Calculation:
⇒ ? = 32
∴ ? = 9
What is the square root of (8 + 2√15)?
Answer (Detailed Solution Below)
Simplification Question 9 Detailed Solution
Download Solution PDFFormula used:
(a + b)2 = a2 + b2 + 2ab
Calculation:
Given expression is:
⇒
⇒
⇒
⇒
On simplification
Answer (Detailed Solution Below)
Simplification Question 10 Detailed Solution
Download Solution PDFSince,
a2 - b2 = (a - b) ( a + b)
⇒ 0.9 × 0.7 = 0.63
∴ Answer is 0.63
The square root of ((10 + √25)(12 – √49)) is:
Answer (Detailed Solution Below)
Simplification Question 11 Detailed Solution
Download Solution PDFConcept:
We can find √x using the factorisation method.
Calculation:
√[(10 + √25) (12 - √49)]
⇒ √[(10 + 5)(12 – 7)]
⇒ √(15 × 5)
⇒ √(3 × 5 × 5)
⇒ 5√3
Answer (Detailed Solution Below)
Simplification Question 12 Detailed Solution
Download Solution PDFGiven,
23 × 34 × 1080 ÷ 15 = 6x
⇒ 23 × 34 × 72 = 6x
⇒ 23 × 34 × (2 × 62) = 6x
⇒ 24 × 34 × 62 = 6x
⇒ (2 × 3)4 × 62 = 6x [∵ xm × ym = (xy)m]
⇒ 64 × 62 = 6x
⇒ 6(4 + 2) = 6x
⇒ x = 6
If √3n = 729, then the value of n is equal to:
Answer (Detailed Solution Below)
Simplification Question 13 Detailed Solution
Download Solution PDFGiven:
√3n = 729
Formulas used:
(xa)b = xab
If xa = xb then a = b
Calculation:
√3n = 729
⇒ √3n = (32)3
⇒ (3n)1/2 = (32)3
⇒ (3n)1/2 = 36
⇒ n/2 = 6
∴ n = 12
Answer (Detailed Solution Below)
Simplification Question 14 Detailed Solution
Download Solution PDFGiven expression,
(81.84 + 118.16) ÷ 53 = 1.2 × 2 + ?
⇒ 200 ÷ 53 = 1.2 × 2 + ?
⇒ 200 ÷ 125 = 1.2 × 2 +?
⇒ 1.6 = 2.4 + ?
⇒ ? = -0.8