A) 29 | B) 27 |

C) 31 | D) 33 |

Explanation:

Let the five consecutive odd numbers be x-4, x-2, x, x+2, x+4

According to the question,

Difference between square of the average of first two odd number and the of the average last

two odd numbers is 396

i.e, x+3 and x-3

$\mathbf{\Rightarrow}{\left(\mathbf{x}\mathbf{}\mathbf{+}\mathbf{}\mathbf{3}\right)}^{\mathbf{2}}\mathbf{}\mathbf{-}\mathbf{}{\left(\mathbf{x}\mathbf{}\mathbf{-}\mathbf{}\mathbf{3}\right)}^{\mathbf{2}}\mathbf{}\mathbf{=}\mathbf{}\mathbf{396}\phantom{\rule{0ex}{0ex}}\mathbf{\Rightarrow}\mathbf{}{\mathbf{x}}^{\mathbf{2}}\mathbf{}\mathbf{+}\mathbf{}\mathbf{9}\mathbf{}\mathbf{+}\mathbf{}\mathbf{6}\mathbf{x}\mathbf{}\mathbf{-}\mathbf{}{\mathbf{x}}^{\mathbf{2}}\mathbf{}\mathbf{+}\mathbf{}\mathbf{6}\mathbf{x}\mathbf{}\mathbf{-}\mathbf{}\mathbf{9}\mathbf{}\mathbf{=}\mathbf{}\mathbf{396}\phantom{\rule{0ex}{0ex}}\mathbf{\Rightarrow}\mathbf{}\mathbf{12}\mathbf{x}\mathbf{}\mathbf{=}\mathbf{}\mathbf{396}\phantom{\rule{0ex}{0ex}}\mathbf{\Rightarrow}\mathbf{}\mathbf{x}\mathbf{}\mathbf{=}\mathbf{}\mathbf{33}$

Hence, the smallest odd number is **33 - 4 = 29.**

A) 12, 34, 42 | B) 12, 18, 36, |

C) 6, 4, 14 | D) 4, 8, 16 |

Explanation:

The Multiples of 6 are **6, 12, 18, 24, 30, 36, 42, 48, 54, 60.**

The Multiples of 4 are **4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60.**

The Common Multiples of 4 & 6 upto 60 numbers are given as **12, 24, 36, 48, 60.**

A) 7, 5 | B) 9, 3 |

C) 8, 4 | D) 6, 6 |

Explanation:

Let the number of girls = x

=> x + x + 4 = 12

=> 2x = 8

=> x = 4

=> Number of girls = 4

=> Number of boys = 4 + 4 = 8

A) 7 | B) 23 |

C) 9 | D) 21 |

Explanation:

Let the greater and smaller number be p and q respectively.

4q = p + 5 ------ (I)

p = 3q+2 ------- (II)

From equation (I) and (II)

q = 7

p = 23

A) 1 | B) 2 |

C) 3 | D) 0 |

Explanation:

A number is divisible by 9 only if the sum of the digits of the number is divisible by 9.

Here 86236 = 8 + 6 + 2 + 3 + 6 = 25

We must add 2 to 25 to become 27 which is divisible by 9.

A) 18 | B) 20 |

C) 19 | D) 17 |

A) 57 | B) 75 |

C) 48 | D) 39 |

Explanation:

Let the two-digit number be 10a + b

a + b = 12 --- (1)

If a>b, a - b = 6

If b>a, b - a = 6

If a - b = 6, adding it to equation (1), we get

2a = 18 => a =9

so b = 12 - a = 3

Number would be 93.

if b - a = 6, adding it to the equation (1), we get

2b = 18 => b = 9

a = 12 - b = 3.

Number would be 39.

There fore, Number would be 39 or 93.

A) 1020 | B) 1040 |

C) 1060 | D) 1022 |

Explanation:

Lowest 4-digit number is 1000.

LCM of 3, 4 and 5 is 60.

Dividing 1000 by 60, we get the remainder 40. Thus, the lowest 4-digit number that exactly divisible by 3, 4 and 5 is 1000 + (60 - 40) = 1020.

Now, add the remainder 2 that's required. Thus, the answer is 1022.