# Splification - Quantitative Aptitude

Q31. If a/3 = b/4 = c/7, then (a+b+c)/c = ?

(a) 1

(b) 2

(c) 3

(d) 4

**Answer:** (b) 2

a | = | b | = | c | = k (let) |

3 | 4 | 7 |

∴ a = 3k, b = 4k, c = 7k

Now | a+b+c | = | 3k+4k+7k | = | 14k | = 2 |

c | 7k | 7k |

Q32.

(388 + 277)^{2} - (388 - 277)^{2} |
= ? |

388 X 277 |

(a) 2

(b) 3

(c) 4

(d) 6

**Answer:** (c) 4

Here a = 388

b = 277

Given Expression = | (a + b)^{2} - (a - b)^{2} |
= | 4ab | = 4 |

ab | ab |

Q33. (1 - ½ )(1 - ^{1}/_{3})(1 - ^{1}/_{4}) ........ (1 - ^{1}/_{9})(1 - ^{1}/_{100}) = ?

(a) ^{1}/_{50}

(b) ^{1}/_{70}

(c) ^{1}/_{90}

(d) ^{1}/_{100}

**Answer:** (d) ^{1}/_{100}

Given Expression = ½ X ^{2}/_{3} X ^{3}/_{4} X ...... X ^{98}/_{99} X ^{99}/_{100}

= 1 X ^{1}/_{100}

= ^{1}/_{100}

Q34. If two-fifth of five-ninth of a number is 120, find the number

(a) 510

(b) 530

(c) 540

(d) 560

**Answer:** (c) 540

Let, the number be x

A/Q | 2 | X | 5 | X x = 120 |

5 | 9 |

⇒ | 2x | = 120 |

9 |

⇒ x = | 120 X 9 | = 60 X 9 = 540 |

2 |

Q35. A boy was asked to multiply a number by 25. He instead multiplied the number by 52 and got the answer 351 more than the correct answer. What was the number ?

(a) 13

(b) 15

(c) 18

(d) 22

**Answer:** (a) 13

Let the number be x

A/Q 52x -25x = 351

⇒ 27x = 351

⇒ x = 13

Q36. A and B together have Rs. 250, C has Rs. 125 less than what A and B together have and B has Rs. 40 more than C. How much money does A have ?

(a) 85

(b) 92

(c) 95

(d) 102

**Answer:** (a) 85

A + B = 250

C = A + B - 125 = 250 - 125 = 125

B = 125 + 40 = 165

Now A + B = 250

⇒ A + 165 = 250

⇒ A = 250 - 165 = 85

Q37. There are two class room A and B. If 15 students are sent from A to B, then the number of students in the rooms are equal. If 30 students are sent from B to A, then the number of students in A is double the number of students in B. How many students are there in room A ?

(a) 120

(b) 150

(c) 175

(d) 180

**Answer:** (b) 150

A/Q x - 15 = y + 15

⇒ x - y = 30 ------ (1)

And x + 30 = 2 (y - 30)

⇒ x + 30 = 2y - 60

⇒ x - 2y = -90 ------ (2)

(1) - (2) ⇒ y = 120

(1) ⇒ x - 120 = 30

⇒ x = 150

Q38. By how much does ^{5}/_{(6/7)} exceed ^{(5/6)}/_{7} ?

(a) 4 ^{5}/_{7}

(b) 5 ^{5}/_{7}

(c) 6 ^{5}/_{7}

(d) 9 ^{5}/_{7}

**Answer:** (b) 5 ^{5}/_{7}

Required no = | 5 | - | ^{5}/_{6} |

^{6}/_{7} |
7 |

= | 5 X 7 | - | 5 |

6 | 6 X 7 |

= | 35 | - | 5 |

6 | 42 |

= | 35 X 7 - 5 | = | 240 | = 5 | 5 |

42 | 42 | 7 |

Q39. Each child from a certain school can make 10 items of handicraft in a day. If 1200 handicraft items are to be displayed in an exhibition, then in how many days can 20 children make these items ?

(a) 6 days

(b) 7 days

(c) 8 days

(d) 9 days

**Answer:** (a) 6 days

Number of items made in 1 day = 20 X 10 = 200

Requred no. of days = ^{1200}/_{200} = 6 days

Q40. If ^{a}/_{b} = ^{2}/_{3} and 7a+5b = 21, then a = ?

(a) ^{42}/_{29}

(b) ^{41}/_{23}

(c) ^{47}/_{21}

(d) ^{47}/_{23}

**Answer:** (a) ^{42}/_{29}

^{a}/_{b} = ^{2}/_{3}

⇒ 3a = 2b

⇒ b = ^{3a}/_{2}

Now 7a + 5b = 21

⇒ 7a + 5 X ^{3a}/_{2} = 21

⇒ 7a + | 15a | = 21 |

2 |

⇒ | 14a + 15a | = 21 |

2 |

⇒ | 29a | = 21 |

2 |

⇒ a = | 21 X 2 | = | 42 |

29 | 29 |

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