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 X and Y are positive integers and X + Y = 1, what is the least value of (X+1/X)2 + (Y+1/Y)2 ?

  

  

  

  

The difference in the money between A and B is Rs.1450.C has money twice of B and difference in the money between A and C is Rs.700.So the amount with A is?

  

  

  

  

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:

  

  

  

  

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

  

  

  

  

If a - 4 = 4 (2- a), then what is the value of a?

  

  

  

  

  

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

  

  

  

  

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

  

  

  

  

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

  

  

  

  

If (z – 5) = 4z – 8, then which of the following could be the value of z?

  

  

  

  

  

If x2 + 1/x2 = 51 , then the value of x-1/x is

  

  

  

  

If ( p - q) 2 = ( x – y ) 2, then x =

  

  

  

  

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

  

  

  

  

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

  

  

  

  

  

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

  

  

  

  

  

Which of the following is true?

  

  

  

  

If f (x+(y/8), x-(y/8)) = xy, then f (m, n) + f (n, m) = 0

  

  

  

  

If xy = 96 and 3y = 2x, then what is the value of x

  

  

  

  

  

If logx/(a2+b2+ab) = logy/(b2+c2+bc) = logz/(c2+a2+ac) then, the value of x(a-b).y(b-c).z(c-a) is

  

  

  

  

If a + b = 0, then (1 + xa)-1 + (1 + xb)-1 - xa+b =

  

  

  

  

Solve for real x: 6x2 + 5x - 6 ≥ 0

  

  

  

  

If r(x) is the remainder obtained by dividing a polynomial p(x) by another polynomial q(x), then

  

  

  

  

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

  

  

  

  

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

  

  

  

  

  

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

  

  

  

  

  

If the cube root of the square root of a number is 5, what is the number?

  

  

  

  

  

(3080 + 6160) +28 = ?

  

  

  

  

  

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

  

  

  

  

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

  

  

  

  

  

If x3+ ax2+bx +6 has (x – 2) as a factor and leaves a remainder 3 when divided by (x – 3), the value of a and b respectively are

  

  

  

  

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

  

  

  

  

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