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) 0.5 | B) -1 |

C) 1.5 | D) -0.5 |

Explanation:

In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

Herein the given sequence, **4, 2, 1, 0.5, 0.25, 0.125,...**

**Common Ratio r = **2/4 = 1/2 = 0.5/1 = 0.25/0.5 = 0.125/0.25 **== 0.5.**

A) 6 | B) 60 |

C) 64 | D) 10 |

Explanation:

We know that,

● Each digit has a fixed position called its place.

● Each digit has a value depending on its place called the place value of the digit.

● The face value of a digit for any place in the given number is the value of the digit itself

● Place value of a digit = (face value of the digit) × (value of the place).

Hence, the place value of 6 in 64 = **6 x 10 = 60.**

A) 91 | B) 71 |

C) 41 | D) 31 |

Explanation:

**Prime Numbers ::** Numbers which are divisible by only 1 and itself are Prime Numbers.

It's answer will be 91.

Because 91 can be divisible by 7,13,91,1.

It is quite clear that prime number should be divisible only by itself and by 1.

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 |