Test: Equations- 2 - CA Foundation MCQ

The age of a person is twice the sum of the ages of his two sons and five years ago his age was thrice the sum of their ages. Find his present age.

A number between 10 and 100 is five times the sum of its digits. If 9 be added to it the digits are reversed find the number.

The wages of 8 men and 6 boys amount to Rs. 33. If 4 men earn Rs. 4.50 more than 5 boys determine the wages of each man and boy.

A number consisting of two digits is four times the sum of its digits and if 27 be added to it the digits are reversed. The number is :

Of two numbers, 1/5th of the greater is equal to 1/3rd of the smaller and their sum is 16.The numbers are:

Y is older than x by 7 years 15 years back X’s age was 3/4 of Y’s age. Their present ages are:

The sum of the digits in a three digit number is 12. if the digits are reversedthe number is increased by 495 but reversing only of ten’s and the unit digits increases the number by 36

Two numbers are such that twice the greater number exceeds twice the smaller one by 18 and 1/3 of the smaller and 1/5 of the greater number are together 21. The numbers are :

The demand and supply equations for a certain commodity are 4q + 7p = 17 and  respectively where p is the market price and q is the quantity then the equilibrium price and quantity are:

If the roots of the equation 2x² + 8x – m³ = 0 are equal then value of m is

If 2^{2x + 3} – 3². 2^x + 1 = 0 then values of x are

The cost of 10 kg of apples is equal to the cost of 24 kg of rice. The cost of 6 kg of flour equals the cost of 2 kg of rice. The cost of each kg of flour is Rs.20.50. Find the total cost of 4 kg of apples, 3 kg of rice and 5 kg of flour?

If œ ß be the roots of the equation 2x² – 4x – 3 = 0 the value of α² + β² is

If the sum of the roots of the quadratic equation ax² + bx + c = 0 is equal to the sum of the squares of their reciprocals then 

The equation x² –(p+4)x + 2p + 5 = 0 has equal roots the values of p will be.

The roots of the equation x2 + (2p–1)x + p² = 0 are real if.

If x = m is one of the solutions of the equation 2x² + 5x – m = 0 the possible values of m are

If p and q are the roots of x² + 2x + 1 = 0 then the values of p³ + q³ becomes

If L + M + N = 0 and L M N are rationals the roots of the equation (M+N–L) x² + (N+L–M)x + (L+M–N) = 0 are

If ∝ and ß are the roots of x² = x+1 then value of 

If p ≠ q and p² = 5p – 3 and q² = 5q – 3 the equation having roots as 

If one rot of 5x² + 13x + p = 0 be reciprocal of the other then the value of p is

A solution of the quadratic equation (a+b–2c)x² + (2a–b–c)x + (c+a–2b) = 0 is

If the root of the equation x²–8x+m = 0 exceeds the other by 4 then the value of m is

The values of x in the equation 7(x+2p)² + 5p² = 35xp + 117p² are

The solutions of the equation 

The satisfying values of x for the equation