# Sample Aptitude Questions of Infogain

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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
1. 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
2. 2X2 - (4 + 13) X + 2 13 = 0
10Y2 - (18 + 513) Y + 9 13 = 0

Answer : Option D.
2X2 - (4 + √13) X + 2 √13 = 0
After factorizing we get
2X - √13X - 4 √13X+ 2 √13 = 0
X = 2 and √13/2
10Y2 - (18 + 5 √13) Y + 9 √13 = 0
Y = √13/2 and 9/2
Hence conclusion D follows
3. 2X2 + 9X + 10 = 0
4Y2 + 28Y + 45 = 0

Answer : Option C.
2X2 + 9X + 10 = 0
Factorizing
2X2 + 5X +4X +10=0
We get X = -5/2 and -2
4Y2 + 28Y + 45 = 0
Factorizing we get
4Y2 + 18Y +10Y +45 = 0
Y= -9/2 and -5/2
Hence conclusion C follows
4. 15X2 - 11X - 12 = 0 20Y2 - 49Y + 30 = 0

Answer : Option E.
15X2 - 11X - 12 = 0
After factorizing we get
15X2 - 20X+9X - 12 = 0
We get X=4/3 and -3/5
20Y2 - 49Y + 30 = 0
After factorizing we get
20Y2 - 25Y-24Y + 30 = 0
We get Y = 5/4 and 6/5
Hence conclusion E follows.
5. 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?
1. 12 months
2. 10 months
3. 15 months
4. 14 months
5. 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
6. 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.
1. 5/22
2. 5/23
3. 7/22
4. 4/9
5. 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
7. 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.
1. Rs. 24,000
2. Rs. 16,000
3. Rs. 15,000
4. Rs. 13,500
5. 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
8. 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
1. 80
2. 80.5
3. 81
4. None of these

Answer : Option D.
9. 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?
1. 221
2. 343
3. 81
4. 243
5. 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
10. Solve : (638 + 9709 - 216) ÷ 26 = ?
1. 275
2. 365
3. 420
4. 300
5. 390

Answer : Option E.
(638 + 9709 - 216) ÷ 26 = 10131/26 = 389.65
Approx 290
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