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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6(3 – x) –5 (2x – 4) = 4(3x–) + 14In the above equation the value of x is:

  

  

  

  

A ship 55 kms. From the shore springs a leak which admits 2 tones of water in 6 min; 80 tones would suffer to sink her, but the pumps can throw out 12 tones an hour. Find the average rate of sailing that she may just reach the shore as she begins to sink.

  

  

  

  

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

  

  

  

  

If k – 7 = 7 (1 – k), then what is the value of k?

  

  

  

  

  

The g.c.d. of x3 + x2 – x – 1 and x2 – 1 is

  

  

  

  

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

  

  

  

  

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 

  

  

  

  

Let tan θ = tan 10 − tan 50 + tan 70 then θis ?( all angles in degress)

  

  

  

  

  

Find tan 9 − tan 27 − tan 63 + tan 81 ( all angles in degrees)

  

  

  

  

  

A group of 630 children is arranged in rows for a group photograph session. Each row contains three fewer children than the row in front of it. What number of rows is not possible.

  

  

  

  

  

The factors of x2 + xy − 2 xyz −2z are:

  

  

  

  

 If s varies directly as e and s/e = 6, then what is the value of s when e = 2.2?

  

  

  

  

  

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

  

  

  

  

  

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

  

  

  

  

  

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

  

  

  

  

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

  

  

  

  

  

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

  

  

  

  

If (h – 3) = 4h – 7, then which of the following could be the value of h?

  

  

  

  

  

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

  

  

  

  

23.999 X 9.004 X 16.997 =?

  

  

  

  

  

 If g = log, (ax) then pz =

  

  

  

  

  

If x + y = 2, xy = 1, then the values of x and y are respectively

  

  

  

  

[148-{28-58}]≥(?)

  

  

  

  

  

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?

  

  

  

  

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

  

  

  

  

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

  

  

  

  

  

If a2 = b4 = c8 = d16, then logd2 (abc)1/3

  

  

  

  

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