15 questions for STD IX --- IPM, MTSE, IMO

15 questions for STD IX --- IPM, MTSE, IMO

(all the questions are solved, look for answers under the respective labels)

IMO test paper for STD IV

IMO test paper for STD IV

IMO test papers for STD. III

IMO test papers for STD. III

IMO test paper for STD II

IMO test paper for STD II

IMO test paper for STD I

IMO test paper for STD I

numbers

Pages of a magazine are numbered starting from 1. Jack was asked to add up the page numbers, but he included one page twice and got a sum of 130. What was the page number that was included twice?

IPM mega finals 2014 STD VI

polynomials

if f(x) is a polynomial satisying P( x + 3/2) = P (x), for all real values of x. If P(5) = 2002, then find the Value of P(8)

time and work

A tank can be filled by one tap in 20 mins and by another tap in 25 mins.Both the taps are kept open for 5 mins and then the second tap is turned off. In how many minutes more is the tank completely filled?

LCM and HCF

On Ashok Marg three consecutive traffic change after 36,42 and 72 secs respectively. If the lights are first switched on at 9:00 A.M. sharp, at what time will they change simultaneously?

IMO STD IX

mensuration,

A circular swimming pool is surrounded by a concrete walk 4m wide. If the area of the walk is 11/25 of that of the pool, then the radius of the pool is ..................................

rationalization

If, x = 9 + 4√5 and xy = 1 then the value of 1/x² + 1/y² = ................................

algebra STD IX

 

circle

The ratio of area of a square inscribed in a semicircle to the area of a square inscribed in a quadrant of the same circle is.......................................

IMO STD X

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).

47^th 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?
19. 
    

MAT

All the best for the Math Aptitude test 

Happy Independence day

rationalisation