# Aptitude and Reasoning Questions

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.**

A) 1/2 | B) 3/8 |

C) 2/3 | D) 3/2 |

Explanation:

Now to find the difference in the given fractions, 1/2 - 1/8

First take the LCM of 2 & 8

LCM of 2 & 8 is 8

Then,

1/2 - 1/8

= (4 - 1)/8

= 3/8

Hence, **1/2 - 1/8 = 3/8.**

A) 8888 | B) 9999 |

C) 9944 | D) 9988 |

Explanation:

To find the largest 4 digit number exactly divisible by 88,

We should divide the largest possible 4 digit number by 88, and if we get any remainder than subtract it from that largest number.

The largest possible 4 digit number is 9999

Now,

88) 9999 (113

88

_______

119

88

_______

319

264

_______

55

_______

Therefore, the largest 4 digit number exactly divisible by 88 is given by

**9999 - 55 = 9944.**

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) 4000 | B) 16000 |

C) 8000 | D) 20000 |

Explanation:

5% of 400000

= 5 x 400000/100

= 20,000

Hence, **5% of 4,00,000 = 20,000**