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Number System Aptitude Questions and tricks:
Overview:
Questions and Answers Type:
MCQ (Multiple Choice Questions).
Main Topic:
Quantitative Aptitude.
Quantitative Aptitude Sub-topic:
Number System Aptitude Questions and Answers.
Number of Questions:
10 Questions with Solutions.
Find the remainder of the expression \(\frac{12 \times 14 \times 16}{5}\)?
\(2\)
\(3\)
\(4\)
\(5\)
Answer & Solution
Answer: (b) \(3\)Solution: According to basic remainder theorem,$$\frac{12 \times 14 \times 16}{5}$$ $$= \frac{2 \times 4 \times 1}{5} = \frac{8}{5} = 3 \ (Remainder)$$
Find the remainder of the expression \(\frac{22 \times 25 \times 28}{9}\)?
\(1\)
\(2\)
\(3\)
\(4\)
Answer & Solution
Answer: (a) \(1\)Solution: According to basic remainder theorem,$$\frac{22 \times 25 \times 28}{9}$$ $$= \frac{4 \times 7 \times 1}{9} = \frac{28}{9} = 1 \ (Remainder)$$
Find the remainder of the expression \(\frac{11 \times 13 \times 15}{6}\)?
\(1\)
\(2\)
\(3\)
\(4\)
Answer & Solution
Answer: (c) \(3\)Solution: According to basic remainder theorem,$$\frac{11 \times 13 \times 15}{6}$$ $$= \frac{5 \times 1 \times 3}{6} = \frac{15}{6} = 3 \ (Remainder)$$
Find the remainder of the expression \(\frac{5 \times 4 \times 7}{3}\)?
\(1\)
\(2\)
\(3\)
\(4\)
Answer & Solution
Answer: (b) \(2\)Solution: According to basic remainder theorem,$$\frac{5 \times 4 \times 7}{3}$$ $$= \frac{2 \times 1 \times 1}{3} = \frac{2}{3} = 2 \ (Remainder)$$
Find the remainder of the expression \(\frac{25 \times 35 \times 38 \times 42}{8}\)?
\(1\)
\(2\)
\(3\)
\(4\)
Answer & Solution
Answer: (d) \(4\)Solution: According to basic remainder theorem,$$\frac{25 \times 35 \times 38 \times 42}{8}$$ $$= \frac{1 \times 3 \times 6 \times 2}{8} = \frac{36}{8} = 4 \ (Remainder)$$
Find the remainder of the expression \(\frac{125 \times 135}{20}\)?
\(15\)
\(10\)
\(5\)
\(12\)
Answer & Solution
Answer: (a) \(15\)Solution: According to basic remainder theorem,$$\frac{125 \times 135}{20}$$ $$= \frac{5 \times 15}{20} = \frac{75}{20} = 15 \ (Remainder)$$
Find the remainder of the expression \(\frac{41 \times 121 \times 215}{25}\)?
\(10\)
\(14\)
\(15\)
\(16\)
Answer & Solution
Answer: (c) \(15\)Solution: According to basic remainder theorem,$$\frac{41 \times 121 \times 215}{25}$$ $$= \frac{16 \times 21 \times 15}{25}$$ $$= \frac{240 \times 21}{25} = \frac{15 \times 21}{25}$$ $$= \frac{315}{25} = 15 \ (Remainder)$$
Find the remainder of the expression \(\frac{314 \times 333 \times 342}{42}\)?
\(12\)
\(18\)
\(20\)
\(16\)
Answer & Solution
Answer: (b) \(18\)Solution: According to basic remainder theorem,$$\frac{314 \times 333 \times 342}{42}$$ $$= \frac{20 \times 39 \times 6}{42}$$ $$= \frac{39 \times 120}{42} = \frac{39 \times 36}{42}$$ $$= \frac{1404}{42} = 18 \ (Remainder)$$
Find the remainder of the expression \(\frac{342 \times 445}{52}\)?
\(18\)
\(24\)
\(36\)
\(38\)
Answer & Solution
Answer: (d) \(38\)Solution: According to basic remainder theorem,$$\frac{342 \times 445}{52}$$ $$= \frac{30 \times 29}{52} = \frac{870}{52} = 38 \ (Remainder)$$
Find the remainder of the expression \(\frac{444 \times 555 \times 666}{33}\)?
\(15\)
\(20\)
\(18\)
\(21\)
Answer & Solution
Answer: (d) \(21\)Solution: According to basic remainder theorem,$$\frac{444 \times 555 \times 666}{33}$$ $$= \frac{15 \times 27 \times 6}{33}$$ $$= \frac{27 \times 90}{33} = \frac{27 \times 24}{33}$$ $$= \frac{648}{33} = 21 \ (Remainder)$$
Number System
Number System Aptitude Questions and tricks
Lec 1: Introduction to Number System
Lec 2: Factors of Composite Number
Questions and Answers-1
Lec 3: Basic Remainder Theorem
Questions and Answers-2
Lec 4: Polynomial Remainder Theorem
Questions and Answers-3
Questions and Answers-4
Questions and Answers-5
Lec 5: LCM of Numbers
Questions and Answers-6
Lec 6: HCF of Numbers
Questions and Answers-7
Questions and Answers-8
Lec 7: Divisibility Rules of Numbers
Questions and Answers-9
Questions and Answers-10
Questions and Answers-11
Questions and Answers-12
Questions and Answers-13
Questions and Answers-14
Questions and Answers-15
Questions and Answers-16
Questions and Answers-17
Questions and Answers-18
Questions and Answers-19
Questions and Answers-20
Quantitative Aptitude Topics
Number Sysytem
Simplification
Percentage
Simple Interest and Compound Interest
Profit and Loss
Ratio and Proportion
Time and Work
Time, Speed and Distance
Average
Probability
Permutation and Combination
Equations and Inequalities
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