# Simplification Questions

**FACTS AND FORMULAE FOR SIMPLIFICATION QUESTIONS**

**1. BODMAS Rule**: This rule depicts the correct sequence in which the operations are to be executed,so as to find out the value of a given expression. Here, 'B' stands for bracket , 'O' for of , 'D' for division and 'M' for multiplication, 'A' for addition and 'S' for subtraction.

Thus, in simplifying an expression, first of all the brackets must be removed, strictly in the order(), {} and [].

After removing the brackets, we must use the following operations strictly in the order:

(1) of (2)division (3) multiplication (4)addition (5)subtraction.

Modulus of a real number : Modulus of a real number a is defined as |a| =

**2. Virnaculum (or bar)** : When an expression contains Virnaculum, before applying the ‘BODMAS’ rule, we simplify the expression under the Virnaculum.

A) 35 | B) 38 |

C) 40 | D) 42 |

Explanation:

Let the number of correct answers be X.

Number of incorrect answers = (60 – X).

4x – (60 – x) = 130

=> 5x = 190

=> x = 38

A) 500 | B) 1000 |

C) 1500 | D) 2000 |

Explanation:

Let the cost of a table and that of a chair be Rs. x and Rs, y respectively.

Then, 2x + 3y = 3500 ...(i)

and 3x + 2y = 4000 .....(ii)

solving (i) and (ii) we get x = 1000, y = 500

A) 30 birds | B) 60 birds |

C) 72 birds | D) 90 birds |

Explanation:

Let the no of shots be x. Then,

Shots fired by A =

Shots fired by B =

Killing shots by A = =

shots missed by B = =

Birds killed by A =

A) 160 | B) 175 |

C) 180 | D) 195 |

Explanation:

Suppose the man works overtime for *x* hours.

Now, working hours in 4 weeks = (5 x 8 x 4) = 160.

160 x 2.40 + *x* x 3.20 = 432

=> 3.20*x* = 432 - 384 = 48

=> *x* = 15.

Hence, total hours of work = (160 + 15) = 175.

A) 52.5 | B) 62.5 |

C) 72.5 | D) 82.5 |

Explanation:

Let the capacity of 1 bucket = x.

Then, capacity of tank = 25x.

New capacity of bucket = .

Required no of buckets = = 62.5