Simplification is a crucial topic in almost every competitive exam such as SSC CGL, CHSL, Banking, Railways, State PSC, and Insurance exams. The key to scoring well is speed and accuracy – which comes from continuous simplification questions practice.
Below are 10 carefully selected simplification questions with step-by-step solutions to help you understand the methods and tricks needed to solve them quickly in the exam hall.
Q1) If a * b = 2a – 3b + ab, then 3 * 5 + 5 * 3 is equal to :
A) 22
B) 23
C) 24
D) 25
Correct Option is: A) 22
Explanation:
3*5+5*3
=(2×3-3×5+3×5)+(2×5-3×3+5×3)
=(6-15+15)+(10-9+15)
=6+16
=22
Q2. If a+b=5 and 3a+2b=20,then (3a+b)will be :
A) 20
B) 15
C) 25
D) 30
Correct Option is: C) 25
Explanation:
a+b=5
a=5-b……(i)
Putting this value in 3a+2b=20 , we get
3(5-b)+2b=20
15-3b+2b=20
15-b=20
b=-5
Putting the value of b in (i) we get
a= 5-(-5)=10
Therefore, (3a+b)= 3×10-5=25
Q3) 1397 x 1397 = ?
Here what replaces ‘?’
A) 1951609
B) 1821504
C) 2031489
D) 1847879
Correct Option is: A) 1951609
Explanation:
1397 x 1397= 1951609
Q4) Simplify : 39.96% of 649.85 ÷13.07 = 45.14 – ?
A) 25
B) 26
C) 27
D) 28
Correct Option is: A) 25
Explanation:
39.96% of 649.85 ÷13.07 = 45.14 – ?
⇒40% of 650 ÷ 13 = 45 -? ( Taking Approximate Values)
⇒260÷ 13=45-?
⇒20=45-?
⇒?=45-20
⇒ ?= 25
Q5) Simplify the following equation?
2003 x 2004 – 2001 x 2002 =?
A) 8010
B) 8020
C) 8030
D) 8040
Correct Option is: A) 8010
Explanation:
We have:
2003 × 2004 − 2001 × 2002
Step 1: Think of 2003 × 2004 as (2002 + 1) × (2002 + 2)
and 2001 × 2002 as (2002 − 1) × (2002)
Step 2: Expand each:
(2002 + 1)(2002 + 2)
= 2002² + 3×2002 + 2
= 2002² + 6006 + 2
= 2002² + 6008
(2002 − 1)(2002) = 2002² − 2002
Step 3: Subtract:
[2002² + 6008] − [2002² − 2002]
= 6008 + 2002 = 8010
Q6. Simplify the following equation:
55.55 + 155 + 15.55 + 0.5 + 0.05 = ?
A) 226.65
B) 196.55
C) 202.35
D) 216.66
Correct Option is: A) 226.65
Explanation:
55.55 + 155 = 210.55
210.55 + 15.55 = 226.10
226.10 + 0.5 = 226.60
226.60 + 0.05 = 226.65
Q7. 38% of 7500 + ?% of 375 = 50% of 6000
A) 50
B) 40
C) 60
D) 45
Correct Option is: B) 40
Explanation:
Step 1: 38% of 7500
= (38/100) × 7500
= 2850
Step 2: 50% of 6000
= (50/100) × 6000
= 3000
Step 3: Equation:
2850 + ?% of 375 = 3000
Step 4: ?% of 375 = 3000 − 2850 = 150
Step 5: Find ?%
(?/100) × 375 = 150
? × 375 = 150 × 100
? × 375 = 15000
? = 15000 ÷ 375 = 40
Q8. What should come in place of question mark (?) in the following question?
41% of 600 – 250 = ? – 77% of 900
A) 889
B) 589
C) 789
D) 689
Correct Option is: D) 689
Explanation:
Step 1: 41% of 600
= (41/100) × 600
= 246
Step 2: Left side:
246 − 250 = −4
Step 3: 77% of 900
= (77/100) × 900
= 693
Step 4: Equation:
−4 = ? − 693
Step 5: Add 693 to both sides:
? = −4 + 693
? = 689
Q9) What should come in place of question mark (?) in the following question?
65% × 700 + √196 – 9 × 3 = ?
A) 522
B) 442
C) 402
D) 362
Correct Option is: B) 442
Explanation:
65% × 700 + √196 − 9 × 3
= 455 + 14 − 27
= 442
Q10) Which of the following statement (s) is/are TRUE?
I. 4√3 > 3√4
II. 8√2 > 2√8
A) Only I
B) Only II
C) Neither I nor I
D) Both I and I
Correct Option is: Answer: D) Both I and II
Explanation:
I. 4√3 ≈ 4 × 1.732 = 6.928
3√4 = 3 × 2 = 6 → 6.928 > 6 (True)
II. 8√2 ≈ 8 × 1.414 = 11.312
2√8 ≈ 2 × 2.828 = 5.656 → 11.312 > 5.656 (True)
This was Simplification Questions Practice Set 01. Keep practicing daily to master calculation speed and accuracy. Stay tuned for Practice Set 02, which will have mixed-level questions for advanced preparation.
🔗 Next Practice Set: [Simplification Questions Practice Set 02 – Coming Soon]
