For what value of a, the roots of the equation 2x2 + 6x + a = 0, satisfy the condition <2 (where α and β are the roots of equation). A a < 0 B –1 < a < 0 C –1 < a < 1 D None of these
A boat goes 32 km upstream and 36 km downstream in 7 hours. In 9 hours, it can go 40 km upstream and 48 km downstream. If x represents the speed of the boat in still water in km/hr and y represents the speed of the stream in km/hr, then_______. A x + y = 12, x – y = 8 B x + y = 5, x – y = 11 C x + y = 6, x – y = 10 D x + y = 10, x – y = 6
A rectangular park is 100 m by 50 m. It is surrounded by semicircular flower beds all round. Find the cost of levelling the semicircular flower beds at 60 paise per m2. A ₹ 31425 B ₹ 28260 C ₹ 352.40 D ₹ 282.60
A sum of money is borrowed and paid back in two annual installments of Rs 882 each allowing 5% compound interest. The sum borrowed was _______. ARs 1620 BRs 1640 CRs 1680 DRs 1700
In the given figure (not drawn to scale), OABC is a quadrilateral with ABC on horizontal ground and O is vertically above A. M is the mid-point of BC. If ∠BAC = 90°, AB = AC = 16 cm and OA = 12 cm, calculate the length of OB. A25 cm B15 cm C20 cm D28 cm
Find the value of if 1 + cot2θ = A 2 B 3 C –2 D 1
A circle with area A1 is contained in the interior of a larger circle with area A1 + A2. If the radius of the larger circle is 3 units and A1, A2, A1 + A2 are in A.P., then the radius of the smaller circle is _____. A units B 1 unit C 2 units D units
Read the following information carefully to answer the given question. Fifty books belonging to different subjects, viz. History (8), Geography (7), Literature (13), Psychology (8) and Science (14), are placed on a shelf. They are arranged in an alphabetical order subject to the condition that no two books of the same subject are placed together so long as books of other subjects are available. Unless otherwise mentioned, all counting is done from the left. Counting from the right end, the fifth book from the right of 39th book is ______. AHistory BPsychology CGeography DScience