**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 is83. 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
- 81.5
- None of these

Answer: Option D

A:B:C = 3:4:5

Sum of A+B+C = 3*83+4*76+5*85 = 978

Average score = 978/12 = 81.5**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

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**26 .00 - (154.001/6.995) = ?**- 4
- 18
- 9
- 10
- 14

Answer: Option A

26 – (154/7) = 4**17.995/3.01 + 104.001/12.999 = ?**- 11
- 20
- 23
- 14
- 17

Answer: Option D

18/3 + 104/13 = 14**3/5 of 4/7 of 7/9 of 425 = ?**- 121
- 110
- 118
- 113
- 124

Answer: Option D

3/5*4/7*7/9*425 = 113**124.001 14.001 ÷ 3.4999 + 2**^{2}= ?- 500
- 450
- 425
- 475
- 550

Answer: Option B

124*(14/3.5)+ 4 = 500**18.0009 ÷ √ (369 + ?) = 2040.05**- 302
- 298
- 322
- 319
- 311

Answer: Option E

18/√36 * (369 + ?)= 2040.05

3(369+?)=2040

?=311