MAT / IPM Mega Finals practice paper Std. V / Std. VI

MAT / IPM Mega Finals practice paper Std. V / Std. VI

last 15 questions of MAT

1.       Blue Copper Sulphate is made from 32 parts of Copper, 16 parts of Sulphur, 32 parts of oxygen and 48 parts of water. How much water is there in 5 kgs of Copper Sulphate?

a)      5.6  kg           b)  1.875 kg         c)  4.2 kg               d) 2.5 kg

2.       Choose the correct answer:

(2² + 3² + 4²) + (2² + 3² + 4²)² + (2² + 3² + 4²)³ + (2² + 3² + 4²)⁴ is divisible by

a)      29                   b)   25                    c)  13                      d)   20

3.       Divide Rs 225 between A, B and C so that A and C may each have 7 times as much as B. What is A’s share

a)      15                   b)  45                     c)  75                      d)  105

4.       Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is:

a)      5                      b)  6                       c)  4                        d)  3

5.       How many numbers between 281 and 651 are divisible by 2,3,4, and 5?

a)      6                      b)  10                     c)  9                        d)  7

6.       A number leaves a remainder of 83 when divided by 123. What will be the remainder if the same number is divided by 41?

a)      7                      b) 4                        c) 1                         d) 2

7.       105² – 97² + 36² =

a)      2812               b) 1812                 c) 2912                  d) 2922

8.       What percent of y is z?

a)      yz/100           b) 100z/y             c) 100y/z              d) 100/yz

9.       Rs 6000 becomes Rs 7200 in 1 ½ year. What is the half yearly rate of simple interest?

a)      13%                b) 7%                     c) 6.67%               d)  8%

10.   If aⁿ x a^m = a^m+n   and {aⁿ}^m = a^nm, use this information to find

{a^2/3 x a^3/4}^12/17

a)      a                      b) a²                       c) a ^24/17                                d)  0

11.   The difference of two numbers is 10. If both the numbers are increased by 10% then what will be the difference between the two new numbers thus formed?

a)      9                      b) 11                      c) 12                       d) 10

12.   Find the odd one out: 3/7, 5/9,21/47, 13/28, 9/21

a)      3/7                                 b)  21/47              c) 5/9                     d) 9/21

13.   By selling an article the shopkeeper makes a profit of 25%. If he had sold for Rs 200 less, the profit would have been 15%. What is the cost price of the article?

a)      1800               b)  1200                c) 1000                  d) 2000

14.   Nanu has secured 25% more than Bhanu. What percentage marks has Bhanu got less than Nanu?

a)      25%                b) 20%                  c) 16.67%             d) 22%

15.   The length of a rectangle is increased by 25% and the width is decreased by 25%. What is the percentage change in the area of the rectangle?

a)      7.25%            b) 25%                  c) 6.25%               d) 20%