Maths Online Test for JEE, EAMCET, Super 30 Entrance Exams April 18, 2020April 22, 2019 by admin 1. Every quadratic polynomial can have at most (a) three zeros(b) one zero (c) two zeros(d) none of these 2. For ax² + bx + c = 0, which of the following statement is wrong? (a) If b² – 4ac is a perfect square, the roots are rational. (b) If b² = 4ac , the roots are real and equal. (c) If b² – 4ac is negative, no real roots exist.(d) If b² = 4ac , the roots are real and unequal. 3. Find the coordinates of the point equidistant from the points A(1, 2), B (3, –4) and C(5, –6). (a) (2, 3)(b) (–1, –2)(c) (0, 3)(d) (1, 3) 4. Find the distance of the point (–6, 8) from the origin. (a) 8(b) 11(c) 10(d) 9 5. In what ratio of line x – y – 2 = 0 divides the line segment joining (3, –1) and (8, 9)? (a) 1 : 2(b) 2 : 1(c) 2 : 3(d) 1 : 3 6. What will be the solution of these equations ax+by=a-b, bx-ay=a+b (a) x=1, y=2 (b) x=2,y=-1 (c) x=-2, y=-2 (d) x=1, y=-1 7. Rozly can row downstream 20km in 2 hours, and the upstream 4km in 2 hours. What will be the speed of rowing in still water? (a) 6km/hr (b) 4km/hr (c) 3km/hr (d) 7km/hr 8. What is the probability that a number selected from the numbers (1, 2, 3,..........,15) is a multiple of 4? (a) 1/5(b) 4/5(c) 2/15(d) 1/3 9. A letter is chosen at random from the letters of the word ASSASSINATION. The probability that the letter chosen has: (a) 6/13(b) 7/13(c) 1(d) none of these. 10. (6) The probability that a prime number selected at random from the numbers (1,2,3, ..........35) is : (a) 12/35(b) 11/35(c) 13/35(d) none of these 11. Π - 22 / 7 is: (a) a rational number(b) an irrational number (c) a prime number(d) an even number 12. If two positive integers p and q can be expressed as p = ab² and q = a³b; a, b being prime numbers, then LCM (p, q) is (a) ab(b) a²b²(c) a³b²(d) a³b³ 13. The decimal expansion of the rational number 14587 / 1250 will terminate after (a) one decimal place(b) two decimal places (c) three decimal places(d) four decimal places 14. What is the area of a semi–circle of radius 5 cm? (a) 78.57 cm(b) 71.42 cm(c) 63.18 cm(d) 79.86 cm 15. A cylinder and a cone are of the same base radius and same height. Find the ratio of the volumes of the cylinder of that of the cone. (a) 1 : 3(b) 1 : 2(c) 3 : 1(d) 2 : 1 16. Graph of a quadratic polynomial is a (a) straight line(b) circle(c) parabola(d) ellipse 17. The abscissa of the point of interaction of the ‘less than type’ and of the ‘more than type’ cumulative frequency curve of grouped data gives 1. mode2. median3. mean 4. all of the above 18. What should come in the blank? Mode= (…………..) –2 (mean) 1. 3 (median) 2. 4 (median) 3. 2 (median)4. 5 (median) 19. Construction of a cumulative frequency table is useful determining the 1. mean 2. mode 3. median 4. all of the above 20. If the first, second and last term of an A.P. are a, b and 2a respectively, its sum is 1) ab / 2 (b-a)2) ab / b-a3) 3ab / 2 (b-a)4) None of these 21. If nth terms of the APs 63, 65, 67, ... and 3, 10, 17, ... are equal, then n is (a) 27(b) 23 (c) 15(d) 13 22. Sum of all natural numbers lying between 250 and 1000 which are exactly divisible by 3 is (a) 157365(b) 153657 (c) 156375(d) 155637 23. If 7th and 13th term of an A.P. are 34 and 64 respectively, then its 18th term is (a) 87(b) 88(c) 89(d) 90 24. Rozly can row downstream 20km in 2 hours, and the upstream 4km in 2 hours. What will be the speed of rowing in still water? (a) 6km/hr(b) 4km/hr(c) 3km/hr (d) 7km/hr 25. Value of D when root of ax² + bx + c = 0 are real and unequal will be (a) D ≥ 0(b) D > 0 (c) D < 0(d) D = 0 26. The value of p for equation 2x^{2} – 4x + p = 0 to have real roots will be (a) p ≤ –2(b) p ≥ 2 (c) p ≤ 2(d) p ≥ –2 27. If the equation x² – kx + 1, have no real roots, then (a) –2 < k < 2(b) –3 < k < 3 (c) k > 2(d) k < –2 28. If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of m is (a) 4(b) 2(c) 1(d) 3 29. For any positive integer a and 3, there exist unique integers q and r such that a = 3q + r, where r must satisfy : (a) 0 ≤ r < 3(b) 1 < r < 3(c) 0 < r < 3(d) 0 < r ≤ 3 30. If the sum of p terms of an A.P. is q and the sum of q terms is p, then the sum of (p + q) terms will be (a) p + q(b) –(p + q) (c) p – q(d) 0 Loading...