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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if (64)2 - (36)2 = 10x, then x = ?

  

  

  

  

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

  

  

  

  

Let x and y be consecutive integers. Suppose m be the number of solutions of x3 − y3 = 3k2 and n be the number of solutions of x3 − y3 = 2t2,where k, t are integers. Then m + n equals:

  

  

  

  

  

If x=2+22/3+21/3, then which of the following is true?

  

  

  

  

In 1994, students seeking jobs in finance earned Rs. _____ more than those opting for software (in lakhs)

  

  

  

  

If (x + 4) (x + 6) (x +1) 2> 0, then the solution set for the inequality is

  

  

  

  

If m and n are whole numbers such that mn = 121, the value of (m - 1)n + 1 is:

  

  

  

  

If a1 = 1 and an+1 = 2an + 5, n = 1, 2 ...., then a100 is equal to :

  

  

  

  

H.C.F. of two polynomials is a + 5 and their L.C.M. is (a + 5) (a + 4) (a – 1). If one of the polynomial is a2+ 4a – 5,then the other polynomial is

  

  

  

  

If a1=1 and an+1-3an+2 = 4n for every positive integer n, then a100 equals

  

  

  

  

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

  

  

  

  

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

  

  

  

  

  

Find the number of pairs of real numbers x, y such that (x2 + 8x +17)(y2 − 2y + 6) = 5

  

  

  

  

  

Solve the simultaneous inequalities: 13x + 4 < 5x +20 andl2x+5>9x + 14.

  

  

  

  

If ( p - q) 2 = ( x – y ) 2, then x =

  

  

  

  

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 r varies directly as n and r/m = 10, then what is the value of r when m = 2.2?

  

  

  

  

  

Solve for real x: 6x2 + 5x - 6 ≥ 0

  

  

  

  

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

  

  

  

  

If y(u) = 2u2 + 2 then what is the value of y, if u = 3?

  

  

  

  

  

What is the minimum value of the expression 2x2+3y2-4x-12y+18?

  

  

  

  

  

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

  

  

  

  

s varies directly as the square of p. When s = 3.5, p = 0.5 If s = 90, then c would be equal to

  

  

  

  

  

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

  

  

  

  

  

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

  

  

  

  

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

  

  

  

  

If  x *y=x2 + y2 – xy, then the value of 9*11 is:

  

  

  

  

a, b, c, d be real numbers in G.P. If u, v,w satisfy the equations u + 2v + 3w = 6; 4u + 5v + 6w = 12; 6u + 9v = 4 then roots of the equations (1/u + 1/v + 1/w)x2 + [(b − c)2 + (c − a)2 + (d − b)2]x + u + v + w = 0 and 20x2 + [10(a − d)2]x − 9 = 0 are

  

  

  

  

  

If 5x + 9 > 3x + 19, what is the range of values x can take?

  

  

  

  

Which of the following is true?

  

  

  

  

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