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The ratio of ages of a father and son is 17:7 respectively. 6 years ago the ratio of their ages was 3:1 respectively. What is the father's present age?

The value of 1/4 + 1/9 + 1/16 + ... +1/n2 is

If 8e + 2p = 12 and y – 3p = 4, then what is the value of y?

The number of solutions of x2 - 5|x| + 6 = 0 is

If 4x + 5y = 83 and 3x/2y = 21/22 how much is y – x

If p and q are real numbers; p ≠ 0, then the equation 3x – 5 + q = px + 1 has no solution, if

A quadratic function f(x) attains a maximum of 3 at x = 1. The value of the function at x = 0 is 1. What is the value of f(x) at x = 10?

3x=5y=45z, then

The largest value of min (2 + x², 6 - 3x) when x > 0 is

If g = log, (ax) then pz =

If a sum of money at certain rate of interest doubles in 5 years and at a different rate of interest becomes 3 times in 12 years, the better rate of interest is

The number of non-negative real roots of 2x – x – 1 = 0 equals

Solve the following equation 3s + 5 = s – 1

If 8a + 4b = 11 and 2a + 4g = 5. The value of b = 2. You need to find the value of a and g.

Which of the following value of x do not satisfy the inequality (x² - 3x + 2 > 0) at all?

If 4x + 5y = 83 and 3x/2y = 21/22, then y-x = ?

Evaluation of 83 × 82 × 8-5 is:

Which of the following is true?

If u(m) =3m2+ 2 then what is the value of u(m + 4)?

23.999 X 9.004 X 16.997 =?

If x = 3 – √5 , then the value of x2+16/x2 is equal to

If 2p + 3q = 18 and 2p – q =2, then 2p + q =?

If x=1+2a+3a2+4a2+……( -1 < a < 1 ) and y=1+3b+6b2+10b3+……( -1 < b < 1 )then find 1+ab+(ab)2+(ab)3+….. in terms of x and y.

n4 − 20n2 + 4 = k where k is a prime number and n is an integer. How many such k exist?

A pole has to be erected on the boundary of a circular park of diameter 13 meters in such a way that the difference of its distances from two diametrical opposite fixed gates A and B on the boundary is 7 meters. The distance of the pole from one of the gates is:

If 2x – ky + z = 0 is a factor of 9y2– z2 – 2xz + 6xy, then the value of k is equal to

Mayank, Mirza, Little and Jaspal bought a motorbike for $60.00. Mayank paid one half of the sum of the amounts paid by the other boys, Mirza paid one third of the sum of the amounts paid by the other boys; and Little paid one fourth of the sum of the amounts paid by the other boys. How much did Jaspal have to pay?

If l + m + n=0, which of the following conditions must l, m and n satisfy so that the system of simultaneous linear equations x + 3y -4z = l, 2x - y - z = m, x + y - 2z = n has at least one ?

The total number of integer pairs (x, y) satisfying the equation x + y = xy is

(3080 + 6160) +28 = ?

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