Aptitude - Equations Test

Test Instructions :

1. The Test is 1hr duration.
2. The Test Paper consists of 30 questions. The maximum marks are 30.
3. All the questions are multiple choice question type with three options for each question.
4. Out of the three options given for each question, only one option is the correct answer.
5. Each question is allotted 1 mark for each correct response.
6. 0.25 will be deducted for incorrect response of each question.
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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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