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.
Start Test

   Time Left : 00 : 30    : 00

When x5– 5x4+ 9x3– 6x2– 16x + 13 is divided by x2 – 3x + a, the quotient and the remainder are x3 2x2+ x + 1 and  – 15x + 11, respectively. The value of a is equal to

  

  

  

  

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

  

  

  

  

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

  

  

  

  

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

  

  

  

  

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

  

  

  

  

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

  

  

  

  

  

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

  

  

  

  

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

  

  

  

  

  

A singles tennis tournament is held, in which 30 men participated. If a player is eliminated as soon as he loses a match, how many matches are required to determine the winner

  

  

  

  

What is the minimum value of x for which the expression x3 – 7x2 + 11x – 5 gives positive values

  

  

  

  

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

  

  

  

  

  

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

  

  

  

  

  

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

  

  

  

  

  

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

  

  

  

  

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

  

  

  

  

If a + b + c = 3, a2 + b2 + c2 = 9, a3 + b3 + c3 = 24 , Then find a4 + b4 + c4

  

  

  

  

  

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

  

  

  

  

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

  

  

  

  

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 ?

  

  

  

  

  

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

  

  

  

  

  

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 ( p - q) 2 = ( x – y ) 2, then x =

  

  

  

  

The cost of 8 Sharpeners and 12 Pens is Rs. 76/- What is the cost of 20 Sharpeners and 30 Pens?  

  

  

  

  

  

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

  

  

  

  

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

  

  

  

  

If  a * b – 2a – 3b + ab, then 3 * 5 + 5 * 3 is equal to:

  

  

  

  

The sum of X and Y's age is 105. When X was Y's age, she was 1.5 times Y's age then what are their present ages?

  

  

  

  

The L.C.M. of 6x2 – 5x – 6 and 12x2 + 11x + 2 is

  

  

  

  

Note:
  • Click the 'Submit Test' button given in the bottom of this page to Submit your answers.
  • Test will be submitted automatically if the time expired.
  • Don't refresh the page.