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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Ujakar and Keshab atternplted to solve a quadratic equation. Ujakar made a mistake in writing down the constant term. He ended up with the roots (4, 3). Keshab made a mistake in writing down the coefficient of x. He got the roots as (3, 2). What will be the exact roots of the original quadratic equation?











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 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 ?






(3080 + 6160) +28 = ?






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:






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





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





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





Which of the following is true?





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






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






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





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?





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?





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?





If a1 = 1 and an+1 = 2an + 5, n = 1, 2 ...., then a100 is equal to :





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





If x2 + 1/x2 = 51 , then the value of x-1/x is





 If g = log, (ax) then pz =






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





If e varies directly as n and e/d = 10, then what is the value of e when d = 30?






If a, b and c are the sides of a triangle and a4 + b4 + 2a2b2 = c4, then the triangle is





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





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?





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





Solve the simultaneous inequalities: 13x + 4 < 5x +20 andl2x+5>9x + 14.





If (x + 4) (x + 6) (x +1) 2> 0, then the solution set for the inequality is





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