# AMCAT Sample Questions Quants Solutions 191-200

Ques 190 : Choose the correct answer.
A coin is tossed thrice. What is the probability that the first toss of coin lands head, second tail and third lands tail as well?
Option 1 : 1/16
Option 2 : 3/8
Option 3 : 1/8
Option 4 : None of these

Ques 191 : Choose the correct answer.
The probability of occurrence of event A is 0.3 and that of event B is 0.4. The events are independent. What is the  probability of occurrence of both A and B?
Option 1 : 0.7
Option 2 : 0.1
Option 3 : 0.12
Option 4 : Cannot be determined

Ques 192 : Choose the correct answer.
The probability of occurrence of event A is 0.1 and that of event B is 0.2. The events are mutually exclusive. What is the probability of occurrence of both A and B?
Option 1 : 0.1
Option 2 : 0
Option 3 : 1
Option 4 : Cannot be determined

Ques 193 : Choose the correct answer.
The probability of occurrence of event X is 0.8 and that of event Y is 0.05. The events are mutually exclusive. What is the probability of occurrence of either X or Y?
Option 1 : 0.85
Option 2 : 0.75
Option 3 : 0
Option 4 : Cannot be determined

Ques 194 : Choose the correct answer.
10% of the voters did not cast their vote in an election between two candidates. 10% of the votes polled were found invalid. The successful candidate got 54% of the valid votes and won by a majority of 1620 votes. The number of voters enrolled on the vo
Option 1 : 25000
Option 2 : 33000
Option 3 : 35000
Option 4 : 40000

Ques 195 : Choose the correct answer.
A, B, C started a business with their investments in the ratio 1:3:5. After 4 months, A invested the same amount as before and B as well as C withdrew half of their investments. The ratio of their profits at the end of the year is:
Option 1 : 4:3:5
Option 2 : 5:6:10
Option 3 : 6:5:10
Option 4 : 10:5:6

Ques 196 : Choose the correct answer.
Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1:1:2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be:
Option 1 : Rs. 169.50
Option 2 : Rs. 170
Option 3 : Rs. 175.50
Option 4 : Rs. 180

Ques 197 : Choose the correct answer.
A can contains a mixture of two liquids A and B in the ratio 7:5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7:9. How many litres of liquid A was contained by the can initially ?
Option 1 : 10
Option 2 : 20
Option 3 : 21
Option 4 : 25

Ques 198 : Choose the correct answer.
A man bought a number of clips at 3 for a rupee and an equal number at 2 for a rupee. At what price per dozen should he sell them to make a profit of 20% ?
Option 1 : Rs 4
Option 2 : Rs 5
Option 3 : Rs 6
Option 4 : Rs 7

Ques 199 : Choose the correct answer.
Padam purchased 30 kg of rice at the rate of 17.50 per kg and another 30 kg rice at a certain rate. He mixed the two and sold the entire quantity at the rate of Rs. 18.60 per kg and made 20% overall profit. At what price per kg did he purchase the lot
Option 1 : Rs.12.50
Option 2 : Rs. 13.50
Option 3 : Rs. 14.50
Option 4 : Rs. 15.50
Option 5 : None of these

Ques 200 : Choose the correct answer.
The manufacturer of a certain item can sell all he can produce at the selling price of Rs. 60 each. It costs him Rs. 40 in materials and labour to produce each item and he has overhead expenses of Rs. 3000 per week in order to operate the plant. The numb
Option 1 : 200
Option 2 : 250
Option 3 : 300
Option 4 : 400