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. |

- If \(\frac{3}{4}\) th of \(\frac{2}{7}\) th of a number is 34 then find the number?
- 156.22
- 158.67
- 159.32
- 162.53

Answer: (b) 158.67

Solution: Let the number is x then $$ x \times \frac{3}{4} \times \frac{2}{7} = 34 $$ $$ \frac{3x}{14} = 34 $$ $$ x = \frac{34 \times 14}{3} $$ $$ x = \frac{476}{3} $$ $$ x = 158.67 $$

Solution: Let the number is x then $$ x \times \frac{3}{4} \times \frac{2}{7} = 34 $$ $$ \frac{3x}{14} = 34 $$ $$ x = \frac{34 \times 14}{3} $$ $$ x = \frac{476}{3} $$ $$ x = 158.67 $$

- If \(\frac{2}{5}\) th of 80 is x then find the value of x?
- 32
- 23
- 33
- 22

Answer: (a) 32

Solution: According to the question $$ \frac{2}{5} \times 80 = x $$ $$ x = 32 $$

Solution: According to the question $$ \frac{2}{5} \times 80 = x $$ $$ x = 32 $$

- If the fractions \(\frac{2}{5}\), \(\frac{3}{5}\), \(\frac{6}{7}\), and \(\frac{2}{3}\) are arranged in ascending order of their values. Which one will be in the second place?
- \(\frac{2}{5}\)
- \(\frac{3}{5}\)
- \(\frac{6}{7}\)
- \(\frac{2}{3}\)

Answer: (b) \(\frac{3}{5}\)

Solution: $$ \frac{2}{5} = 0.4 $$ $$ \frac{3}{5} = 0.6 $$ $$ \frac{6}{7} = 0.857 $$ $$ \frac{2}{3} = 0.67 $$ By writing the values in ascending order $$ \frac{2}{5}, \frac{3}{5}, \frac{2}{3}, \frac{6}{7} $$ Hence \(\frac{3}{5}\) will be on second place.

Solution: $$ \frac{2}{5} = 0.4 $$ $$ \frac{3}{5} = 0.6 $$ $$ \frac{6}{7} = 0.857 $$ $$ \frac{2}{3} = 0.67 $$ By writing the values in ascending order $$ \frac{2}{5}, \frac{3}{5}, \frac{2}{3}, \frac{6}{7} $$ Hence \(\frac{3}{5}\) will be on second place.

- If the fractions \(\frac{3}{8}\), \(\frac{2}{9}\), \(\frac{4}{7}\), and \(\frac{5}{12}\) are arranged in descending order of their values. Which one will be in the third place?
- \(\frac{3}{8}\)
- \(\frac{2}{9}\)
- \(\frac{4}{7}\)
- \(\frac{5}{12}\)

Answer: (a) \(\frac{3}{8}\)

Solution: $$ \frac{3}{8} = 0.375 $$ $$ \frac{2}{9} = 0.23 $$ $$ \frac{4}{7} = 0.57 $$ $$ \frac{5}{12} = 0.4167 $$ By writing the values in descending order $$ \frac{4}{7}, \frac{5}{12}, \frac{3}{8}, \frac{2}{9} $$ Hence \(\frac{3}{8}\) will be on third place.

Solution: $$ \frac{3}{8} = 0.375 $$ $$ \frac{2}{9} = 0.23 $$ $$ \frac{4}{7} = 0.57 $$ $$ \frac{5}{12} = 0.4167 $$ By writing the values in descending order $$ \frac{4}{7}, \frac{5}{12}, \frac{3}{8}, \frac{2}{9} $$ Hence \(\frac{3}{8}\) will be on third place.

- I have some horses and pigeons. If the total number of animal-heads is 51 and the total number of feet is 178 then find how many pigeons I have?
- 15
- 14
- 13
- 12

Answer: (c) 13

Solution: Let I have x number of pigeons and y number of horses then $$ x + y = 51....(1) $$ As pigeons have two feet each and horses have four feet each then $$ 2x + 4y = 178....(2) $$ by multiplying 4 with equation (1) $$ 4x + 4y = 204....(3) $$ by subtracting equation (2) from equation (3) $$ 4x + 4y - 2x - 4y = 26 $$ $$ 2x = 26 $$ $$ x = 13 $$ Hence I have 13 pigeons.

Solution: Let I have x number of pigeons and y number of horses then $$ x + y = 51....(1) $$ As pigeons have two feet each and horses have four feet each then $$ 2x + 4y = 178....(2) $$ by multiplying 4 with equation (1) $$ 4x + 4y = 204....(3) $$ by subtracting equation (2) from equation (3) $$ 4x + 4y - 2x - 4y = 26 $$ $$ 2x = 26 $$ $$ x = 13 $$ Hence I have 13 pigeons.

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
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