Sunday, July 6, 2014

MAT / IPM mega final test paper for STD V / STD VI

Last 15 questions for MAT preparations



IPM Mega Final Practice Paper for STD V

1.       A 125 litres jar of milk contains 35% water. How much water should be evaporated so that the milk contains only 20% water?
2.       How many numbers are there between 1and 1000 (both number inclusive) which is neither divisible by 3 nor 6 nor 9?
3.       The cost of how many eggs is equal to the selling price of 4 eggs if the gain is 25 %?
4.       A wire in the shape of a square of side 15 cm is converted into a circle. What is the area of the circle?
5.       Rs 2000 doubles itself in 5 years, Simple interest. After how many years will the Amount be Rs 3200?
6.      
7.       In a zoo there are animals and birds. The total number of heads in the zoo is 200. The total number of legs in the zoo is 320. How many birds are there in the zoo?
8.       How many Saturdays are there between 31st Jan and 12th of September of the same year if 15th Jan is a Monday?
9.       A wall of 15 feet by 12 feet is to be erected. The size of each brick is 0.5 feet by 1 foot. 20% of the wall will be covered by mortar and rest by brick. How many bricks are required to erect the wall?
10.   The cost of 5 elephants is equal to 20 cows. The cost of 4 cows is equal to 12 goats. How many goats can you buy with 3 elephants?
11.   A boy travels from home to the bus stand at 10 km/hr. He realizes on reaching the bus stand that he has forgotten to carry his purse. So he immediately rushes back home at a speed of “x” km/hr. The average speed of the total journey is 8 km/hr.  What is the value of “x”?
12.   Arrange in ascending order:
12/17, 7/13, 16/44, 3/8
13.   Complete the sequence:  289, ......., 361, 441, 529.
14.   The sides of a square are increased by 20%. What will be the % increase in area of new square?
15.   If 25% of a number is equal to 2/3rd of another number, what is the ratio of first number to the second number?

Wednesday, April 30, 2014

algebra puzzle

Solve the following: 

ABCD × D = DCBA

where each Alphabet represents a unique number:


addition puzzle

Replace letters with digits and have this sum be true:


KAYAK
KAYAK
KAYAK
KAYAK
KAYAK
KAYAK   +
--------------
SPORT
 
please note each ALPHABET is a unique number.

Friday, April 18, 2014

compound interest

The compound interest on a certain sum for 2 years at 10% per annum is Rs. 525. The simple interest on the same sum for double the time at half the rate percent per annum is --------------------


compound interest

The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half-yearly is...................................

compound interest

The difference between compound interest and simple interest on an amount of Rs. 15,000 for 2 years is Rs. 96. What is the rate of interest per annum?


compound interest

The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Re. 1. What is the sum?

mixture

In what ratio must water be mixed with milk to gain 16% on selling the mixture at cost price?


mixture

A dishonest milkman professes to sell his milk at cost price but he mixes it with water and thereby gains 25%. What is the percentage of water in the mixture ?