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

  

  

  

  

 If g = log, (ax) then pz =

  

  

  

  

  

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

  

  

  

  

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 x varies as y2 + 2 and is equal to 36 when y = 4, find x when y = 12.

  

  

  

  

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

  

  

  

  

Find the number of triplets of real numbers (x, y, z) which satisfy (x + y)3 = z (y + z)3 = x (z + x)3 = y

  

  

  

  

  

P lent Rs.600 to Q for 2 years and Rs.150 to R for 4 years and received altogether from both Rs.90 as interest. Find the rate of interest, simple interest being calculated

  

  

  

  

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 

  

  

  

  

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:

  

  

  

  

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

  

  

  

  

  

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

  

  

  

  

If the interest on Rs. 800 exceeds that on Rs. 600 by Rs. 15.50 in 6 months, find the rate percent p.a

  

  

  

  

23.999 X 9.004 X 16.997 =?

  

  

  

  

  

If n(x) = x2 - 10x, then n(-10) =

  

  

  

  

  

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

  

  

  

  

H.C.F. of two polynomials is a + 5 and their L.C.M. is (a + 5) (a + 4) (a – 1). If one of the polynomial is a2+ 4a – 5,then the other polynomial is

  

  

  

  

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

  

  

  

  

  

If 1 + 2 + 22 + 23 +.......+ 250 is divided by 7, what will be the remainder?

  

  

  

  

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

  

  

  

  

If 2x + 3y -31, y – z - 4 and x + 2z – 11, then what is the value of x + y + z ?

  

  

  

  

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

  

  

  

  

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

  

  

  

  

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 ?

  

  

  

  

  

If ( p - q) 2 = ( x – y ) 2, then x =

  

  

  

  

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

  

  

  

  

  

(xn - an) is completely divisible by (x - a), if

  

  

  

  

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

  

  

  

  

3x=5y=45z, then

  

  

  

  

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