### Aptitude - Equations Test

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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?

Simplify the expression (1+i)6+(1+i)4 .

If h = 2/3 and k = 6 then k/h + 4/h2 =

Ujakar and Keshab atternplted to solve a quadratic equation. Ujakar made a mistake in writing down the constant term. He ended up with the roots (4, 3). Keshab made a mistake in writing down the coefficient of x. He got the roots as (3, 2). What will be the exact roots of the original quadratic equation?

A father with 8 children takes 3 children at a time to the zoological garden, as often as he can without taking the same 3 children together more than once. Then:

If l(s) = 3s2 + 3s + 3, which of the following is equal to l(-3.5)?

23.999 X 9.004 X 16.997 =?

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:

Manzoor had two equations containing three variables each. If they were x + 2y + 5z = 33, 2x+ 3y + z = 27, then which of the following choice will help him get a unique solution for x, y and z?

If o = 4/3 and h = 6 then h/o + 4/o2 =

If α, β are the roots of (x –√ 3) (x –√ 5) =√ 7, the roots of (x –α) (x –β) +√ 7= 0 are

P lent Rs.600 to Q for 2 years and Rs.150 to R for 4 years and received altogether from both Rs.90 as interest. Find the rate of interest, simple interest being calculated

The number of positive integers n in the range 12  ? n? 40 such that the product (n – 1) (n –2)…3.2.1 is not divisible by n is

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

If ( p - q) 2 = ( x – y ) 2, then x =

If 3x – 5y = 5 and x/x + y = 5/7, then what is the value of x – y ?

If the interest on Rs. 800 exceeds that on Rs. 600 by Rs. 15.50 in 6 months, find the rate percent p.a

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

The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables is:

If x = 1 – q and y = 2q + 1, then for what value of q, x is  equal to y?

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

If the equations x2 + ax + b = 0 and x2 + bx + a = 0, have one root in common, then find the value of (a + b).

If x + y > 4 and x < 3, then y > 1 is true.  Is this statement true?

If a, b and c are the sides of a triangle and a4 + b4 + 2a2b2 = c4, then the triangle is

If 7s + 2e = 14 and s – 2e = 5, then what is the value of s?

If x varies as y2 + 2 and is equal to 36 when y = 4, find x when y = 12.

If 9c + 2d = 11 and z – 3d = 5, then what is the value of g?

The factors of x2 + xy − 2 xyz −2z are:

If 3x – 4y + z = 7; 2x – z + 3y = 19; x + 2y + 2z = 24, then what is the value of z ?

. If the roots, x1,and x2, of the quadratic equation x2 - 2x + c = 0 also satisfy the equation 7x2 - 4x1 = 47, then which of the following is true?

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