# Splification - Quantitative Aptitude

Q1. 32.05% of 259.99 = ?

(a) 83.3

(b) 88.5

(c) 92

(d) 95.7

**Answer:**(a) 83.3

(32.05 / 100) X 259.99 = 83.3

Q2. 1/8 of 2/3 of 3/5 of 1715 = ?

(a) 80.2

(b) 85.75

(c) 90.35

(d) 95.66

**Answer:**(b) 85.75

(1/8) X (2/3) X (3/5) X 1715 = 85.75

Q3. If the length of a rectangular field is increased by 20% and the breadth is reduced by 20%, the area of the rectangle will be 192 m^{2}. What is the area of the original rectangle ?

(a) 184 m^{2}

(b) 196 m^{2}

(c) 198 m^{2}

(d) 200 m^{2}

**Answer:**(d) 200 m^{2}

Let the length and breadth of the original rectangle be L m and B m respectively.

After increasing the length by 20% and decreasing breadth by 20% area is 192

(1.2 L) X (0.8 B) = 192

or 0.96 LB = 192

LB = 200

Q4. The product of one-third of a number and 150% of another number is what per cent of the product of the original numbers ?

(a) 20%

(b) 50%

(c) 70%

(d) 85%

**Answer:**(b) 50%

Let the original numbers be x and y and their product be xy

Product of 1/3 rd of x and 150% of y = (x/3) X (3y/2) = xy/2

So = (xy/ (2 X xy)) X 100 = 50%

Q5. There are 8 mango trees in a straight line. The distance between each mango tree with other is 3 metres. What is the distance between the first and the eighth tree is

(a) 21 metre

(b) 24 metre

(c) 27 metre

(d) 29 metre

**Answer:**(a) 21 metre

Q6. If b/a = 3/5 then (3a-5b)/(3a+5b) = ?

(a) 0

(b) 1

(c) 11

(d) 35

**Answer:** (a) 0

3a - 5b | = | 3 - 5(b/a) |

3a + 5b | 3 + 5(b/a) |

= | 3 - 5(3/5) |

3 + 5(3/5) |

= | 3 - 3 |

3 + 3 |

= | 0 |

6 |

= 0

Q7. (35613 - 26888) ÷ 25 = ?

(a) 281

(b) 288

(c) 325

(d) 349

**Answer:** (d) 349

35613 - 26888 | = | 8728 | = 349 |

25 | 25 |

Q8. 254 X ? X 4 = 95504

(a) 75

(b) 94

(c) 104

(d) 112

**Answer:** (b) 94

254 X x X 4 = 95504

=> x = 95504 / (254 X 4) = 94

Q9. 45000 X ? = 4000

(a) 1/3

(b) 5/2

(c) 3/4

(d) 8/9

**Answer:** (d) 8/9

45000 X x = 4000

=> x = 40000 / 45000 = 8/9

Q10. [(125)^{2} ÷ 50 X 10] ÷ 25 = ?

(a) 95

(b) 98

(c) 112

(d) 125

**Answer:** (d) 125

[ | 125 X 125 | X | 10 | ] | ÷ | 25 |

50 |

= | 125 X 25 |

25 |

= 125