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Perc (Math) Solved Questions & Notes (2026) - Apex Rankers

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39 Total Solved Questions
~59 mins Estimated Reading Time
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Perc

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📜 Instructions / Reading Passage
12 Questions in this set
PERCENTAGE CALCULATIONS: Point out the correct mathematical choice for problems involving basic percentage conversion, finding X% of a number, and expressing one number as a percentage of another.
Q. 1 Quantitative Aptitude Test
Difficulty: Medium (1 Mark)
32% of 25 is ——?
A
6
B
7
C
8
✓ Correct
D
9
💡 Step-by-Step Explanation & Concept Rationale
Calculation: 25×0.32=8.
Q. 2 Quantitative Aptitude Test
Difficulty: Medium (1 Mark)
Express 65% as a fraction.
A
100/65
B
65/10
C
65×100
D
13/20
✓ Correct
💡 Step-by-Step Explanation & Concept Rationale
65/100=13/20.
Q. 3 Quantitative Aptitude Test
Difficulty: Medium (1 Mark)
Express 19.66% in decimals.
A
19.66
B
1.966
C
0.1966
✓ Correct
D
0.01966
💡 Step-by-Step Explanation & Concept Rationale
Percentage to decimal: 19.66/100=0.1966.
Q. 4 Quantitative Aptitude Test
Difficulty: Medium (1 Mark)
Reduce 0.0003 to percent.
A
0.03%
✓ Correct
B
0.0003%
C
0.000003%
D
0.00003%
💡 Step-by-Step Explanation & Concept Rationale
0.0003×100=0.03%.
Q. 5 Quantitative Aptitude Test
Difficulty: Medium (1 Mark)
Convert 5/16 into percent.
A
3.125%
B
31.25%
✓ Correct
C
312.5%
D
0.3125%
💡 Step-by-Step Explanation & Concept Rationale
(5/16)×100=0.3125×100=31.25%.
Q. 6 Quantitative Aptitude Test
Difficulty: Medium (1 Mark)
125% of Rs. 120 is ——?
A
Rs. 96
B
Rs. 30
C
Rs. 150
✓ Correct
D
Rs. 180
💡 Step-by-Step Explanation & Concept Rationale
120×1.25=150.
Q. 7 Quantitative Aptitude Test
Difficulty: Hard (1 Mark)
In a class of 30 boys and 20 girls, percentage of girls?
A
40%
✓ Correct
B
50%
C
60%
D
70%
💡 Step-by-Step Explanation & Concept Rationale
Total = 50. Girl % = (20/50)×100=40%.
Q. 8 Quantitative Aptitude Test
Difficulty: Medium (1 Mark)
In x% of 144 is 9, then the value of x is ——?
A
33/8
B
16
C
$4\frac{1}{2}$
D
6 1/4%
✓ Correct
💡 Step-by-Step Explanation & Concept Rationale
x/100×144=9
⟹x=900/144=6.25.
Q. 9 Quantitative Aptitude Test
Difficulty: Medium (1 Mark)
What per cent of 64 is 24?
A
64/24
B
64/24×100
C
64×24/100
D
37.5
✓ Correct
💡 Step-by-Step Explanation & Concept Rationale
(24/64)×100=3/8×100=37.5%.
Q. 10 Quantitative Aptitude Test
Difficulty: Medium (1 Mark)
Adding 6% of y to y is equivalent to multiplying y by ——?
A
0.94
B
0.06
C
1.06
✓ Correct
D
6
💡 Step-by-Step Explanation & Concept Rationale
y+0.06y=1.06y.
Q. 11 Quantitative Aptitude Test
Difficulty: Medium (1 Mark)
If y exceeds x by 20%, then what per cent less than y is x?
A
16.67​%
✓ Correct
B
80%
C
20%
D
12%
💡 Step-by-Step Explanation & Concept Rationale
Let x=100,y=120.
Difference is 20.
(20/120)×100=16.67%.
Q. 12 Quantitative Aptitude Test
Difficulty: Hard (1 Mark)
A/B are 20% and 50% more than C. What percentage is A of B?
A
80%
✓ Correct
B
75%
C
70%
D
65%
💡 Step-by-Step Explanation & Concept Rationale
Let C=100,A=120,B=150. Ratio 120/150=4/5=80%.
📜 Instructions / Reading Passage
13 Questions in this set
APPLIED PERCENTAGE PROBLEMS: Solve word problems involving population trends, election results, salary savings, and consumption changes due to price fluctuations or tax adjustments.
Q. 13 Quantitative Aptitude Test
Difficulty: Medium (1 Mark)
A man saves 11% of his income of Rs. 1200. He spends ——?
A
Rs. 137.50
B
Rs. 132
C
Rs. 1112.50
D
Rs. 1068
✓ Correct
💡 Step-by-Step Explanation & Concept Rationale
Saves: 1200×0.11=132. Spends: 1200−132=1068.
Q. 14 Quantitative Aptitude Test
Difficulty: Medium (1 Mark)
575 of 625 students went to picnic. % who did not attend?
A
8%
✓ Correct
B
4.5%
C
7.5%
D
9.2%
💡 Step-by-Step Explanation & Concept Rationale
Did not attend:
625−575=50.
(50/625)×100=8%.
Q. 15 Quantitative Aptitude Test
Difficulty: Medium (1 Mark)
Sohail earns Rs. 520 and saves Rs. 65. What % does he save?
A
4.55%
B
5.2%
C
9.75%
D
12.5%
✓ Correct
💡 Step-by-Step Explanation & Concept Rationale
(65/520)×100=1/8×100=12.5%.
Q. 16 Quantitative Aptitude Test
Difficulty: Medium (1 Mark)
Man loses 12.5% money, spends 70% of rem, has 210 left. Initial?
A
Rs. 600
B
Rs. 700
C
Rs. 800
✓ Correct
D
Rs. 900
💡 Step-by-Step Explanation & Concept Rationale
0.3×(0.875x)=210⟹0.2625x=210⟹x=800.
Q. 17 Quantitative Aptitude Test
Difficulty: Medium (1 Mark)
A woman has a certain number of mangoes, of which 13% are bad. She gives 75% of the remainder in charity and then has 261 left. How many had she at first?
A
1044
B
1200
✓ Correct
C
1500
D
1800
💡 Step-by-Step Explanation & Concept Rationale
Let the initial number of mangoes be \(X\).
After 13% are bad, the remaining mangoes are 87% of \(X\).
After giving 75% of the remainder away, she has 25% of the remainder left.
Set up the equation:
0.25 × (0.87x)=261
⟹0.2175x=261
⟹x=1200.
Q. 18 Quantitative Aptitude Test
Difficulty: Medium (1 Mark)
Population X, annual increase r%. Population in n years?
A
X+3r/100
B
X−3r/100
C
$X(1+\frac{r}{100})^n$
✓ Correct
D
$X(1-\frac{r}{100})^n$
💡 Step-by-Step Explanation & Concept Rationale
Standard formula for compound population growth over time.
Q. 19 Quantitative Aptitude Test
Difficulty: Medium (1 Mark)
If the price of sugar be raised by 20% find by how much per cent a house holder must reduce his consumption so as not to increase his expenditure.
A
20%
B
16 2/3​%
✓ Correct
C
12 3/4​%
D
8 1/3​%
💡 Step-by-Step Explanation & Concept Rationale
Formula: [r/(100+r)]×100=(20/120)×100=16.66%.
Q. 20 Quantitative Aptitude Test
Difficulty: Medium (1 Mark)
Candidate needs 33%. Gets 220, fails by 11. Max marks?
A
600
B
700
✓ Correct
C
800
D
900
💡 Step-by-Step Explanation & Concept Rationale
33% of x=220+11=231⟹x=231/0.33=700.
Q. 21 Quantitative Aptitude Test
Difficulty: Medium (1 Mark)
A person had a certain sum of money. He gave 20% of it to his eldest son, 30% of the remaining he gave to his wife. 10% of the remaining he gave in a school for poor boys, still he had Rs. 504. His total sum is
A
Rs. 2000
B
Rs. 1800
C
Rs. 1500
D
Rs. 1000
✓ Correct
💡 Step-by-Step Explanation & Concept Rationale
0.9×0.7×0.8×x=504
⟹0.504x=504
⟹x=1000.
Q. 22 Quantitative Aptitude Test
Difficulty: Medium (1 Mark)
In an examination, a candidate who secures 25% of the maximum marks fails by 75 marks but an other candidate who secures 42% of the maximum marks gets 10 marks more than necessary for passing. Determine the maximum numbers.
A
300
B
400
C
500
✓ Correct
D
100
💡 Step-by-Step Explanation & Concept Rationale
(42%−25%) of x=75+10=85⟹17% of x=85⟹x=500.
Q. 23 Quantitative Aptitude Test
Difficulty: Medium (1 Mark)
The annual decrease in the population of a town is 5% and the present population is 6859. 3 years ago the population was
A
7000
B
7202
C
7681
D
8000
✓ Correct
💡 Step-by-Step Explanation & Concept Rationale
x(0.95)3=6859
⟹x=6859/0.857375=8000.
Q. 24 Quantitative Aptitude Test
Difficulty: Medium (1 Mark)
The population of a village is 800. During the first year the population increased by 10%. During second year the population increased by 20%. The population after 2 years is
A
872
B
948
C
1056
✓ Correct
D
1200
💡 Step-by-Step Explanation & Concept Rationale
800×1.10=880.
880×1.20=1056.
Q. 25 Quantitative Aptitude Test
Difficulty: Medium (1 Mark)
In an election, one of the two candidates gets 40% of the total vote but he loses by 160 votes. The total number of votes is
A
540
B
620
C
730
D
800
✓ Correct
💡 Step-by-Step Explanation & Concept Rationale
Calculate the winner's vote percentage:
Since there are only two candidates, the winner received:
\(100\%-40\%=60\%\)
Find the percentage difference:
The difference between the two candidates is:
\(60\%-40\%=20\%\)
Set up the equation:
The losing candidate lost by 160 votes, which represents this \(20\%\) difference. Let \(T\) be the total number of votes:
\(20\%\text{ of }T=160\)\(0.20\times T=160\)
Solve for the total votes (\(T\)):
\(T=\frac{160}{0.20}=800\)
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