DIRECTIONS for questions 1 – 4: Solve the equations given below and answer
if X < Y
if X > Y
if X ≥ Y
if X ≤ Y
or no relation can be established
6X2 + 31X + 35 = 0
2Y2 + 3Y + 1 = 0
Answer : Option D.
6X2 + 31X + 35 = 0
Factorize 6X2 + 21X +10X +35=0
So we get factors of X = -7/2 and -5/3
2Y2 + 3Y + 1 = 0
After factorize we get
Y = -1 and -1/2
So conclusion D follows
A and B are partners in a business. They invest in the ratio 5:6, at the end of 8 months A withdraws. If they receive profits in the ratio of 5 : 9, find how long B's investment was used?
12 months
10 months
15 months
14 months
18 months
Answer : Option A.
Ratio of profit is always distributed in the ratio of their investment and time.
5unit × 8 months:6 units × B’s months = 5:9
So B’s investment time = 12 months
There are 3 red balls, 4 blue balls and 5 white balls. 2 balls are chosen randomly. Find probability that 1 is red and the other is white.
5/22
5/23
7/22
4/9
None of These
Answer : Option E.
There are 3 red balls, 4 blue balls and 5 white balls. 2 balls are chosen randomly.
probability that 1 is red and the other is white = 3/12× 5/11 = 5/44
According to a new plan rolled out by H1SP Bank, the rate of simple interest on a sum of money is 8% p.a. for the first two years, 10% p.a. for the next three years and 6% p.a. for the period beyond the first five years. Simple interest accrued on a sum for a period of eight years is Rs. 12,800. Find the sum.
Rs. 24,000
Rs. 16,000
Rs. 15,000
Rs. 13,500
None of These
Answer : Option E.
Let the sum of money be x.
So interest in first two years = 8×2 = 16% of x
Interest in next three years = 10×3 =30% of x
Interest in next five years = 6×3 = 18% of x
Total interest = 64% of x = Rs 12,800
We get x = Rs 20,000
Three Science classes A, B and C take a Life Science test. The average score of students of class A is 83. The average score of students class B is 76. The average score of class C is 85. The average score of class A and 8 is 79 and average score of class B and C is 81. Then the average score. Of classes A, B and C is
80
80.5
81
None of these
Answer : Option D.
A hemispherical bowl of internal diameter 54 cm contains a liquid. The liquid is to be filled in cylindrical bottles of radius 3 cm and height 9 cm. How many bottles are required to empty the bowl?
221
343
81
243
None of these
Answer : Option E.
Area of a hemispherical bowl = 2/3 ×π ×r3
Area of a cylinder = πr2h
Area of a cylinder = n × Area of a hemispherical bowl
2/3 ×π ×273 = n ×π×32×9
we get n = 162