Arithmetic
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๐ Comprehensive Syllabus & Examination Guide
Arithmetic
Official curriculum roadmap, subject/topic distribution, negative marking rules, pacing guidelines, and solved sample questions.
๐ฏ Mapped Subjects & Topic Question Distribution
Total Question Pool
100%
38 MCQs
Combined Active Syllabus
Arithmetic
38 MCQs
Topic Pool
๐ Question Pool Structure
38 MCQs across fundamental, intermediate, and advanced concept tiers.
โก Recommended Pacing
45 to 60 seconds per MCQ. Flag complex problems and preserve 10 minutes for final revision.
โ๏ธ Scoring & Negative Marking
+1 mark per correct answer. In competitive tests with negative marking, -0.25 applies for incorrect guesses.
๐ก Strategic Preparation & Exam Hall Guidelines
To maximize your score on Arithmetic, candidates are advised to follow a structured three-pass approach. In the First Pass, solve all direct recall and formula-based questions within 30 seconds each to secure foundational marks. In the Second Pass, tackle multi-step analytical and quantitative reasoning problems. In the Third Pass, review marked questions and verify calculations.
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Solved Blueprint Examples
Showing 10 solved representative questions
๐ Pre-Rendered Solved Sample Questions & Detailed Solutions
Review the solved problems below to understand question phrasing, answer choices, and step-by-step solution logic prior to starting the full interactive practice drill:
Sample Question 1
Arithmetic
Hard • Quantitative Aptitude Test
11.5ร0.003= โโ?
A
0.345
B
0.0345
C
0.00345
D
0.000345
E
3.45e-05
โ Correct Answer: B - 0.0345
๐ Step-by-Step Solution & Conceptual Rationale:
Direct multiplication: 11.5ร0.003=0.0345.
Sample Question 2
Arithmetic
Hard • Quantitative Aptitude Test
12 students average 70%. 18 others average 80%. Overall average percentage of thirty students?
A
73$\frac{3}{4}$
B
74$\frac{3}{8}$
C
75$\frac{1}{4}$
D
76
E
77$\frac{1}{8}$
โ Correct Answer: D - 76
๐ Step-by-Step Solution & Conceptual Rationale:
Weighted avg: (12ร70+18ร80)/30=(840+1440)/30=76.
Sample Question 3
Arithmetic
Easy • Quantitative Aptitude Test
Write the middle figure between 83 and 98.
A
90.5
B
90
C
91
D
91.5
โ Correct Answer: A - 90.5
๐ Step-by-Step Solution & Conceptual Rationale:
Arithmetic mean:
(83+98)/2=181/2=90.5.
(Note: 91 is a common whole-int answer).
(83+98)/2=181/2=90.5.
(Note: 91 is a common whole-int answer).
Sample Question 4
Arithmetic
Medium • Quantitative Aptitude Test
Which of the following fractions is more than 1/2?
A
31/60
B
32/65
C
7/15
D
30/61
E
14/29
โ Correct Answer: A - 31/60
๐ Step-by-Step Solution & Conceptual Rationale:
31/60=0.516... which is greater than 0.5. All others are less than 0.5.
Sample Question 5
Arithmetic
Hard • Quantitative Aptitude Test
9 members of a committee of 12 are women. What percent are men?
A
0.3
B
0.75
C
0.6
D
0.4
E
0.25
โ Correct Answer: E - 0.25
๐ Step-by-Step Solution & Conceptual Rationale:
If 9/12 are women, then 3/12 are men. 3/12=1/4=25%.
Sample Question 6
Arithmetic
Hard • Quantitative Aptitude Test
Melons range 60 ps. to 75 ps. Greatest number for Rs. 60?
A
14
B
8
C
6
D
10
E
12
โ Correct Answer: D - 10
๐ Step-by-Step Solution & Conceptual Rationale:
Note: Rs 60 / 0.60 = 100. The source key (d) suggests the budget was Rs 6.00 or a typo in unit.
Sample Question 7
Arithmetic
Hard • Quantitative Aptitude Test
A boy has an average of 75% in one term. What must be his average in five courses the next term to raise his combined average to 80%?
A
86%
B
87%
C
82%
D
85%
E
84%
โ Correct Answer: D - 85%
๐ Step-by-Step Solution & Conceptual Rationale:
Because the number of courses in both terms is equal, the combined average is simply the exact midpoint between the two term averages. The number exactly halfway between 75% and 85% is 80%
Sample Question 8
Arithmetic
Medium • Quantitative Aptitude Test
What fraction is 50 paise of Rs. 100?
A
1/200
B
1/100
C
200
D
1/50
โ Correct Answer: A - 1/200
๐ Step-by-Step Solution & Conceptual Rationale:
First, convert Rs. 100 to paise.
One rupee equals 100 paise.
So, Rs. 100 equals 10,000 paise (\(100 \times 100\)).
Write it as a fraction: \(\frac{50}{10000}\).
Simplify the fraction: \(\frac{1}{200}\).
One rupee equals 100 paise.
So, Rs. 100 equals 10,000 paise (\(100 \times 100\)).
Write it as a fraction: \(\frac{50}{10000}\).
Simplify the fraction: \(\frac{1}{200}\).
Sample Question 9
Arithmetic
Hard • Quantitative Aptitude Test
The average price of 3 books is Rs. 18. Which of the following could be with price of one of the books?
A
57
B
56
C
55
D
52
โ Correct Answer: D - 52
๐ Step-by-Step Solution & Conceptual Rationale:
Calculate the Total Price of the Books:The average price of the 3 books is Rs. 18.
\(\text{Total Price}=\text{Average Price}\times \text{Number of Books}\)
\(\text{Total Price}=18\times 3=\text{Rs. 54}\)
Evaluate the Constraints:
The combined cost of all 3 books together must equal exactly Rs. 54. Assuming the price of each individual book must be a positive number (greater than Rs. 0), no single book can cost as much as or more than the total amount of Rs. 54.
Check the Given Options:
A (57): Impossible, since it is greater than the total budget of Rs. 54.
B (56): Impossible, since it is greater than Rs. 54.
C (55): Impossible, since it is greater than Rs. 54.
D (52): Possible. If one book costs Rs. 52, the remaining two books could have a combined cost of Rs. 2 (e.g., Rs. 1 each).
\(\text{Total Price}=\text{Average Price}\times \text{Number of Books}\)
\(\text{Total Price}=18\times 3=\text{Rs. 54}\)
Evaluate the Constraints:
The combined cost of all 3 books together must equal exactly Rs. 54. Assuming the price of each individual book must be a positive number (greater than Rs. 0), no single book can cost as much as or more than the total amount of Rs. 54.
Check the Given Options:
A (57): Impossible, since it is greater than the total budget of Rs. 54.
B (56): Impossible, since it is greater than Rs. 54.
C (55): Impossible, since it is greater than Rs. 54.
D (52): Possible. If one book costs Rs. 52, the remaining two books could have a combined cost of Rs. 2 (e.g., Rs. 1 each).
Sample Question 10
Arithmetic
Medium • Quantitative Aptitude Test
Ajmal was sitting in a row with many other boys. On his right side 15 persons were sitting and on his left 14 persons were sitting. How many boys were sitting there?
A
29
B
21
C
28
D
30
โ Correct Answer: D - 30
๐ Step-by-Step Solution & Conceptual Rationale:
To find the total number of boys in the row, we simply add the boys on both sides of Ajmal, plus Ajmal himself:
Boys to his left: 14
Boys to his right: 15
Ajmal himself: 1
\(\text{Total Boys}=14+15+1=\mathbf{30}\)
Boys to his left: 14
Boys to his right: 15
Ajmal himself: 1
\(\text{Total Boys}=14+15+1=\mathbf{30}\)
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