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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The ratio of ages of a father and son is 17:7 respectively. 6 years ago the ratio of their ages was 3:1 respectively. What is the father's present age?

  

  

  

  

The value of 1/4 + 1/9 + 1/16 + ... +1/n2 is

  

  

  

  

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

  

  

  

  

  

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

  

  

  

  

If 4x + 5y = 83 and 3x/2y = 21/22 how much is y – x

  

  

  

  

  

If p and q are real numbers; p ≠  0, then the equation 3x – 5 + q = px + 1 has no solution, if

  

  

  

  

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?

  

  

  

  

  

3x=5y=45z, then

  

  

  

  

The largest value of min (2 + x², 6 - 3x) when x > 0 is

  

  

  

  

 If g = log, (ax) then pz =

  

  

  

  

  

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

  

  

  

  

The number of non-negative real roots of 2x – x – 1 = 0 equals

  

  

  

  

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

  

  

  

  

  

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

  

  

  

  

  

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

  

  

  

  

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

  

  

  

  

Evaluation of 83 × 82 × 8-5    is:

  

  

  

  

Which of the following is true?

  

  

  

  

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

  

  

  

  

  

23.999 X 9.004 X 16.997 =?

  

  

  

  

  

If x = 3 –  √5 , then the value of x2+16/x2 is equal to

  

  

  

  

If 2p + 3q = 18 and 2p – q  =2, then 2p + q =?

  

  

  

  

If x=1+2a+3a2+4a2+……( -1 < a < 1 ) and y=1+3b+6b2+10b3+……( -1 < b < 1 )then find 1+ab+(ab)2+(ab)3+….. in terms of x and y.

  

  

  

  

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

  

  

  

  

  

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

  

  

  

  

Mayank, Mirza, Little and Jaspal bought a motorbike for $60.00. Mayank paid one half of the sum of the amounts paid by the other boys, Mirza paid one third of the sum of the amounts paid by the other boys; and Little paid one fourth of the sum of the amounts paid by the other boys. How much did Jaspal have to pay?

  

  

  

  

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 ?

  

  

  

  

  

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

  

  

  

  

(3080 + 6160) +28 = ?

  

  

  

  

  

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