EASY
10th CBSE
IMPORTANT
Earn 100

Answer the question based on the given information.

The total cost of snowden ice cream parlour is divided into fixed cost x and variable cost y. Fixed cost is the cost that the ice cream parlour has to incur even at zero level of production and variable cost is the cost that will be directly proportional to each unit of ice cream sold.

The parlour launched a new flavour of ice cream and wanted to find the fixed and variable cost associated with it. They found that their total cost for that flavour was Rs 27500 after selling 150 units and Rs 32500 after selling 250 units.

Find the fixed cost incurred by the ice cream parlour for the new flavour. Show your work.

Important Questions on Real Numbers

EASY
10th CBSE
IMPORTANT
Let p be a prime number. If p divides a2 (where a is a positive integer), then p divides a. Verify the statement for p=2, p=5 and for a2=1, 4, 9, 16, 25, 36, 49, 64, 81 
MEDIUM
10th CBSE
IMPORTANT
The value of 11+2+1(2+3)+1(3+4)+1(4+5)+1(5+6)+1(6+7)+1(7+8)+1(8+9) is
MEDIUM
10th CBSE
IMPORTANT

To develop the proof of 5 be irrational.

Step I: Let 5=ab, where a and b are _____; b0a and b are _____.

Step II: On squaring both sides, we get
 5=a2b2a2=_____.

a2 is divisible by _____.

a is divisible by _____.

Step III: Let a=5kk_____.

On putting a=5k in 1, we get

_____=5b2b2=_____.

b2 is divisible by _____.

b is  divisible by _____.

Hence, a and b have a common factor _____.

 Our supposition is wrong.

Hence, 5 is _____.

MEDIUM
10th CBSE
IMPORTANT
Explain why 7×11×13+13 and 7×6×5×4×3×2×1+5 are composite numbers.
HARD
10th CBSE
IMPORTANT
If p1x1×p2x2×p3x3×p4x4=113400, where p1, p2, p3, p4 are primes in ascending order and x1, x2, x3, x4 are integers, find the value of p1, p2, p3, p4 and x1, x2, x3, x4.
HARD
10th CBSE
IMPORTANT
If x=3+13-1 and y=3-13+1 then prove that x2+y2x2-y2=7312.
HARD
10th CBSE
IMPORTANT
If the prime factorization of a natural number n is 23×32×52×7, write the number of consecutive zeroes in n.
HARD
10th CBSE
IMPORTANT
Prove that p+q is an irrational, where p, q are primes.