A) 35 and 46 | B) 35 and 50 |

C) 40 and 55 | D) 45 and 60 |

Explanation:

Let the numbers be x and y. Then,

x^2+y^2=3341......(1)

x^2-y^2=891......(2)

Adding (i) and (ii), we get : 2x^2=4232 or x^2= 2116 or x =46

Subtracting (ii) from (i), we get : 2y^2= 2450 or y^2 = 1225 or y = 35

So, the numbers are 35 and 46

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) 44 | B) 22 |

C) 24 | D) 11 |

Explanation:

Let each literature text book cost be **Rs. X**

Then, cost of mathematics text book = **Rs. (X + 2)**

ATQ,

5X = 38 + 3(X + 2)

5X = 38 + 3X + 6

2X = 44

**X = 22.**

Therefore, cost of each literature text book = **Rs. X = Rs. 22.**

And that of masthematics = **X + 2 = Rs. 24.**

A) 10 | B) 5 |

C) 50 | D) 25 |

Explanation:

Let the larger number be p

Then, smaller number = 1/6 x p = p/6

Given difference between two numbers = 25

p - p/6 = 25

5p/6 = 25

5p = 150

p = 30

Then, p/6 = 30/6 = 5

Hence, **larger number = 30** and **smaller number = 5** which makes the difference = 25.

A) 15368 | B) 12652 |

C) 14562 | D) 14965 |

Explanation:

The difference between 4632 and 20000 is given by subtracting smaler number from the bigger number.

Here the bigger number is 20000

Smaller number is 4632

Now, subtracting 4632 from 20000

20000 - 4632 = 15368 and the resut is an even number.

Hence, **The difference between 4632 and 20000 is 15368 and is an even number.**

A) 3365 | B) 2160 |

C) 1854 | D) 1632 |

Explanation:

Let the number be 3p and 5p

ATQ,

8p = 2 x 48

p = 96/8

p = 12

The numbers are 36 and 60.

Hence, the product of the numbers = **36 x 60 = 2160.**

A) 0 | B) 2 |

C) 12 | D) 10 |

Explanation:

Given

1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + **1 x 0** + 1 + 1

Using BODMAS Rule,

As multiplication precedes addition, 1 x 0 = 0,

Now, 10 + 0 + 1 + 1 = 10 + 2 = 12.

Hence, **1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 x 0 + 1 + 1 = 12.**

A) 420 | B) 210 |

C) 70 | D) 35 |

Explanation:

Let the required number be 'p'

We know, sum of angles in a triangle are 180 deg

According to given data,

p - p/7 = 180

7p - p = 180 x 7

=> 6p = 1260

=> p = 1260/6 = 210

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.**