COMPETITIVE EDUCATION

Sample Questions for Practice Purpose! Ques 1:  A and B borrowed ` 3000 and ` 3200 respectively at the same rate of interest for 2.5 years. If B paid ` 40 more interest than A, find the rate of interest:  (A).  6% (B).  5% (C).  8% (D).  4% Answer: C Ques 2:  A can do a piece of work in 10 days, B in 15 days. They work together for 5 days; the rest of the work is finished by C in two more days. If they get Rs. 3000 as wages for the whole work, what are the daily wages of A, B and C respectively (in Rs): (A).  150, 200, 250 (B).  200, 300, 450 (C).  150, 100, 50 (D).  300, 200, 250 Answer: D Ques 3:  A can lay railway track b/w two given stations in 16 days and B can do the same job in 12 days. With the help of C, they did the job in 4 days only. Then, C alone can do the job in how many days? (A).  10 Days (B).  9 * (1/5) Days (C).  9 * (3/5) Days (D). ...

Mensuration Formulas and tricks  Area of Rectangle = Length * Breadth  (Diagonal of Rectangle) 2  = (Length) 2  * (Breadth) 2  Perimeter of Rectangle = 2 * (Length + Breadth)  Area of a Square = (Side) 2  = 1/2 * (Diagonal) 2  Perimeter of Square = 4 * Side  Area of 4 walls of a room = 2 * (Length + Breadth) * Height  Area of a parallelogram = (Base * Height)  Area of a rhombus = 1/2 * (Product of Diagonals)  Area of an Equilateral Triangle = Root of (3) / 4 * (Side) 2  Perimeter of an Equilateral Triangle = 3 * Side  Area of an Isosceles Triangle = b/4 * root of 4a 2  – b 2  Area of Triangle = 1/2 * Base * Height  Area of Triangle = root of [s(s – a) * (s – b) * (s-c)]  Area of Trapezium = 1/2 * (Sum of parallel sides * perpendicular distance between them)  Circumference of a circle = 2*(22/7)*r  ...

Simplification Formulas   ‘BODMAS’ Rule   Through this rule, you can understand the correct sequence in which the operations are to be executed and this rule depicts the correct sequence in which the operations are to be executed and the sequence can be evaluated.  Here are some rules of simplification given below- 1.  B – Bracket (First of all remove all the brackets strictly in the order (), {} and || and after removing the brackets, you can follow the below sequence) 2.  O – Of 3.  D – Division 4.  M – Multiplication 5.  A – Addition and 6.  S – Subtraction  Modulus of a Real Number Modulus of a real number a is defined as |a| = a, if a > 0 -a, if a < 0 Thus, |5| = 5 and |-5| = -(-5) = 5.  Vinculum (or Bar) When an expression contains Vinculum, before applying the ‘BODMAS’ rule, we simplify the expression under the Vinculum. ...