Showing posts with label MAT test paper. Show all posts
Showing posts with label MAT test paper. Show all posts

Wednesday, August 20, 2014

Tuesday, August 19, 2014

Saturday, August 16, 2014

MAT Question Paper STD V and STD VI - 2014

MAT Question Paper STD V and STD VI - 2014

division and numbers

If the number 5a8b7c is completely divisible by 66 and if b + c = 11 and a + b = 14, then find the value of (a – b).

47th question of MAT 2014 STD V and STD VI

Answer:
The sum of the numbers = 5 + 8 + 7 + a + b + c = 20 + a + b + c   ------------------------- (1)
Substituting (a + b) = 14 in equation 1 we get 
The sum of the numbers = 20 + 14 + c = 34 + c
Now since the number is completely divisible by 66, it must be divisible by 2, 3 and 11.
If the number is divisible by 2 then “c” has to be an even number or 0.
Also, since the number is divisible by 3, hence sum of numbers must be divisible by 3
c
Sum of the numbers = 34 + c

Selection
0
34
3 + 4 = 7 => not divisible by 3
2
36
3 + 6 = 9 => divisible by 3
4
38
3 + 8 = 11 => not divisible by 3
6
40
4 + 0 = 4 => not divisible by 3
8
42
4 + 2 = 6 => divisible by 3

Therefore, c can have only 2 possible values of 2 and 8 to satisfy the divisibility test of 2 and 3.
Now we have to check the divisibility test of 11.
i.e. the sum of the numbers in the even place – the sum of the numbers in the odd place should be a multiple of 11.
Now, sum of the numbers in the even place = 7 + 8 + 5 = 20
Sum of the numbers in the odd place = a + b + c = 14 + c
c
Sum of the numbers in even place  - sum of number in odd place
= absolute { 20 – (14 + c) }

Selection
2
4
 => not multiple of  11
8
2
 => not multiple of  11


So, I think no answer is possible with the given set of conditions.

HCF and LCM ----MAT 2014

question number 45 of MAT

The HCF of two numbers is “x” and the sum of the uncommon factors is 20 and the product of the uncommon factors is 99. If the sum of the two numbers is 260, then thee two possible numbers are......................................

STD V / STD VI MAT Guess paper

A few MAT guess question


  1. A number m is divided by 5 and added to 8. The result  is equal to 3m subtracted from 4. Find the value of m.
  2. 1100 boys and 700 girls sit for an exam. 42% of the boys and 30% of the girls pass. The percentage of the total who failed is .....................
  3. The value of 2-4 + 2-5 + 2-6 =.........
  4. If the angles of a triangle are in the ratio of 4:5:6, then the largest angle measures.............
  5. The length and the breadth of a park are in the ratio of 5:4. If the length were 10% more and the breadth were 10% less, then the area would have decreased by 1620 m2. Find the original length of the park.
  6. 30 men and 20 women attend a convocation. What was the ratio  of the women to the total number of persons at the convocation?
  7. one cup of milk has the same amount of Calcium as 16 oranges. 2 oranges have the same amount of Calcium as 4 eggs. how many eggs have the same amount of Calcium a one cup of milk?
  8. In a polygon, the sum of all exterior angles is ..................
  9. Find the value of 42 x 8 ÷ ½ + 2/3  
  10. Nanu's age in 20 years will be 4 less than 3 times her age now. What is the age of Nanu?
  11. Sonar is a device used to measure the time taken by sound waves from a ship to reach the bottom of the ocean and then back to the ship. The speed of sound in water is 1.5 km/ sec. If the ship has a sonar sounding of 6 secs, what is the approximate depth of the ocean floor blow the ship?
  12. When nanu purchased 6 kg of rice, she was short by Rs 6. When she purchased 8 kg of same rice, she was short by Rs 14. how much money did nanu have?
  13. A Tank can hold 32 litres. It is 4/5 full of oil. One quarter of the oil is transferred to a vat. How much oil is left in the tank?
  14. Represent in decimal system: 8 + 223/25 + 8/1000      
  15. The difference in the area of a large square and the area of a small square is 56 cm2. If the area of the smaller square is 25 cm2, then find the perimeter of the larger square.
  16. A number when rounded of to its nearest hundred and its nearest thousand is 235000. Then the smallest possible value of such a number is?
  17. Represent in number: eight million 24 thousand, four hundred and eighty six.
  18. Nanu saves Rs 20 of her pocket money every day. Her father saves Rs 500 per day. If both of them save their money for 20 days, then what is the difference in their saving?

Saturday, August 2, 2014

MAT test paper ---- STD V and STD VI

MAT test paper ---- STD V and STD VI


MAT and IPM mega final test paper

Maths Aptitude Test ----- last 15 questions for std. VIII

IPM mega Finals practice Paper for Std. VIII



1.       If 4 kg of coffee is cost as much as 3 kg of tea, and 5 kg of tea cost as much as 10 kg of sugar. What is the price of each when 1 kg of coffee, 1 kg of tea and 1 kg of sugar together cost Rs 112.50?
2.       The price of cooking gas has increased by 20%. By what percent should the consumption come down so as not to increase his expenditure?
3.       A dishonest vendor professes to sell his goods at cost price but he uses a weight of 900 grams for a kg weight. Find his gain Percent?
4.       A reduction in 20% in the price of onions enables a purchaser to obtain 8 kgs more for Rs 80/-. What is the reduced price per Kg?
5.       1 kg of tea and 4 kg of sugar cost Rs 88.20, but if sugar prices rose by 50% and that of tea by 10% they would cost Rs 114.30. Find the price per kg of tea? Answer Rs 45
6.       A sells his goods 5% cheaper than B and 5% dearer than C. A man buys Rs 1000 worth of goods from A. Would it have been more or less profitable for him to have bought half thee goods from B and half from C?
7.       Find the simple interest on Rs 1000 from March 3rd to July 27th of the same year @ 5% per annum?
8.       An army consists of 12000 men and women. The average height of the men is 1.9 metres, that of the women is 1.8 metres and that of the army is 1.875 metres. Find the number of women in the army.
9.       If S = (1+ 3 + 5 + ........... 35) + (2 + 4 + 6..........+ 34), Then the Value of S is...........................
10.   Q as a percentage of P is equal to P as a percentage of (P + Q). Find Q as a percentage of P. (given square root of 5 = 2.236)
11.   Solve:       (719×719+347×347−719×347) / (719×719×719+347×347×347) =.....................................
12.   Find the sum:  (1−1/n) + (1−2/n) + (1−3/n) +.................up to n terms=?
13.   What is the remainder when 17200 is divided by 18?  Answer 1
14.   If 7(x - y) = 343 and 7(x + y) = 16807, what is the value of x?
15.   What is the unit digit in (6324)1797 × (615)316 × (341)476?



Wednesday, July 30, 2014