# Aptitude and Reasoning Questions

A) 5 | B) 20 |

C) 2 | D) 3 |

A) TRUE | B) FALSE |

Explanation:

Yes, Every integer is a rational number. A rational number is a number which can be expressed as a ratio of two integers numerator and denominator where (the denominator not being 0 ).

Hence, Every integer can be expressed in ratio of two integers.

A) Area | B) Perimeter |

C) Volume | D) None of the above |

Explanation:

The distance around a figure is called as Perimeter of that figure. For example, rectangle perimeter is 2(L+B) and where as perimeter of square is '4S'.

A) 19/6 | B) 32/4 |

C) 16/3 | D) None of the above |

A) 3 | B) 2 |

C) 1 | D) 0 |

Explanation:

Given numbers are 1, 2 and 3

Factors of 1 = 1

Factors of 2 = 1, 2

Factors of 3 = 1, 2 and 3

Common factors = 1

Hence, the **HCF of 1, 2 and 3 = 1.**

A) 20 | B) 12 |

C) 8 | D) 4 |

Explanation:

Let the required number be 'p'.

From the given data,

p + 12 = 160 x 1/p

=> p + 12 = 160/p

=> p(p + 12) = 160

=> P^2 + 12p - 160 = 0

=> p^2 + 20p - 8p - 160 = 0

=> P(p + 20) - 8(p + 20) = 0

=> (p + 20)(p - 8) = 0

=> p = -20 or p = 8

As, given the number is a natural number, so it can't be negative.

Hence, the required number **p = 8.**

A) 180 | B) 110 |

C) 100 | D) 19 |

Explanation:

According to BODMAS Rule,

10 + 10(9)

= 10 + 90

= 100

A) 10 & 12 | B) 10 & 18 |

C) 12 & -18 | D) -12 & 18 |

Explanation:

Given, difference of the squares of two numbers is 180.

= **k ^{2} - l^{2} - 180**

Also, square of the smaller number is 8 times the larger.

= l^{2 }= 8k

Thus,** k ^{2} - 8a - 180 = 0**

k^{2} – 18k + 10k - 180 = 0

→ k(k - 18) + 10(k – 18) = 0

= (k + 10)(k – 18) = 0

→ **k = -10, 18**

Thus, the other number is

**324 - 180 = l**^{2 }

→ Numbers are **12, 18** or **-12, 18.**