31. A man travels by a motor boat down a river to his office and back. With the speed of the river unchanged, if he doubles the speed of his motor boat, then his total travel time gets reduced by 75%. The ratio of the original speed of the motor boat to the speed of the river is
Answer: _/7 : 2
Explanation:Here is no explanation for this answer
Workspace
Green Valley Motor
32. The base of a vertical pillar with uniform cross section is a trapezium whose parallel sides are of lengths 10 cm and 20 cm while the other two sides are of equal length. The perpendicular distance between the parallel sides of the trapezium is 12 cm. If the height of the pillar is 20 cm, then the total area, in sq cm, of all six surfaces of the pillar is
Answer: 1480
Explanation:Here is no explanation for this answer
Workspace
Green Valley Motor
33. The points (2, 5) and (6, 3) are two end points of a diagonal of a rectangle. If the other diagonal has the equation y =3x+c,then c is
Answer: -8
Explanation:Here is no explanation for this answer
Workspace
Green Valley Motor
34. ABCD is a quadrilateral inscribed in a circle with centre O. If
Answer: 90
Explanation:Here is no explanation for this answer
Workspace
Green Valley Motor
35. If the product of three consecutive positive integers is 15600 then the sum of the squares of these integers is
Answer: 1877
Explanation:Here is no explanation for this answer
Workspace
Green Valley Motor
36. if x ls a real number such that log3(5)= log5(2+x), then which of the following ls true?
Answer: 3 < x < 23
Explanation:Here is no explanation for this answer
Workspace
Green Valley Motor
37. Let a1, a2, a3, a4, a5 be a sequence of five consecutive odd numbers. Consider a new sequence of five consecutive even numbers ending with 2a3. If the sum of the numbers in the new sequence is 450, then a5 is
Answer: 51
Explanation:Here is no explanation for this answer
Workspace
Green Valley Motor
38. How many four digit numbers, which are divisible by 6, can be formed using the digits 0, 2, 3, 4, 6, such that no digit is used more than once and 0 does not occur in the left-most position?
Answer: 50
Explanation:Here is no explanation for this answer
Workspace
Green Valley Motor
39. Let f(x) = 2x-5 and g(x) = 7-2x. Then |f(x)+ g(x)| = |f(x)|+ |g(x)| if and only if
Answer: 5/2 <=x <=7/2
Explanation:Here is no explanation for this answer
Workspace
Green Valley Motor
40. An infinite geometric progression a1, a2, a3, … has the property that an = 3(an+1 + an+2 + … ) for every n>= 1. If the sum a1 + a2 + a3 + … + = 32, then a5 is
Answer: 3/32
Explanation:Here is no explanation for this answer
Workspace
Green Valley Motor
Login/Register
