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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Find the number of solutions in positive integers (k; a1, a2, . . . , ak; b1, b2, . . . , bk) to the equation a1(b1) + a2(b1 + b2) + · · · + ak(b1 + b2 + . . . + bk) = 7

  

  

  

  

  

If a=b2-b,b34,then a2 -2a is always divisible by

  

  

  

  

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

  

  

  

  

  

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

  

  

  

  

  

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

  

  

  

  

  

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

  

  

  

  

  

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

  

  

  

  

If one root of ax2 + bx + c = 0 is double the other, then a, b, c are related as

  

  

  

  

Solve the following equation 3 (x + 2) + 5 (x + 6) = 56

  

  

  

  

  

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

  

  

  

  

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

  

  

  

  

23.999 X 9.004 X 16.997 =?

  

  

  

  

  

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

  

  

  

  

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

  

  

  

  

  

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

  

  

  

  

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

  

  

  

  

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

  

  

  

  

  

Solve for real x: 6x2 + 5x - 6 ≥ 0

  

  

  

  

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

  

  

  

  

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

  

  

  

  

  

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

  

  

  

  

  

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

  

  

  

  

  

Madhu has received admission in all schools listed above. She wishes to select the highest overall ranked school whose a) annual tuition fee does not exceed $23,000 and b) median starting salary is at least $70,000. Which school will she select?

  

  

  

  

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 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?

  

  

  

  

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

  

  

  

  

  

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

  

  

  

  

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

  

  

  

  

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

  

  

  

  

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

  

  

  

  

  

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