# AMCAT Quants Questions with Answers – 7

### AMCAT Quantitative Aptitude Previous Years Question answers with Solutions 7

Ques 181 : Choose the correct answer.
An unbiased coin is tossed n times. If the probability of getting 4 tails equals the probability of getting 7 tails, then the probability of getting two tails is:
Option 1 : 55/2048
Option 2 : 3/4096
Option 3 : 1/1024
Option 4 : None of these

Ques 182 : Choose the correct answer.
Sudhanshu and Pankaj stand in a circle with 10 other persons. If the arrangement of the person is at random, then the probability that there are exactly 3 persons between Sudhanshu and Pankaj is?
Option 1 : 9/11
Option 2 : 2/11
Option 3 : 1/11
Option 4 : None of these

Ques 183 : Choose the correct answer.
Three numbers are chosen from 1 to 30 randomly. The probability that they are not consecutive is:
Option 1 : 1/145
Option 2 : 144/145
Option 3 : 139/140
Option 4 : 1/140

Ques 184 : Choose the correct answer.
A bag is full of 20 bananas and no other fruit. Rajeev draws a fruit from the bag. What is the probability that he will draw a banana?
Option 1 : 1
Option 2 : 0
Option 3 : 1/2
Option 4 : None of these

Ques 185 : Choose the correct answer.
An unbiased dice is rolled 5 times and the outcomes are 1, 2, 3, 4 and 5 respectively. If it is rolled again, what is the probability that the outcome is 6?
Option 1 : 1
Option 2 : 5/6
Option 3 : 1/6
Option 4 : None of these

Ques 186 : Choose the correct answer.
The probability of drawing an apple from a bag of fruits is 6/25. How many apples should Ravi draw, so that there is a chance he will draw 12 apples on average?
Option 1 : 25
Option 2 : 50
Option 3 : 12
Option 4 : None of these

Ques 187 : Choose the correct answer.
What is the probability for a day to be Sunday?
Option 1 : 1/7
Option 2 : 1/5
Option 3 : 52/365
Option 4 : None of these

Ques 188 : Choose the correct answer.
Rani has a bag with three blue and three yellow coins. She takes out a coin, sees its colour and puts it back in the bag. She does this thrice. What is the probability that she saw all blue coins.
Option 1 : 1/8
Option 2 : 1/2
Option 3 : 1/3
Option 4 : None of these

Ques 189 : Choose the correct answer.
Shikhar has a bag with 2 balls, each of which can be black or white with equal probability. Now, he draws out a ball and it turns out to be black. After this event, what is the probability that both balls are black?
Option 1 : 1/2
Option 2 : 1/4
Option 3 : 1
Option 4 : None of these

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

Ques 201 : Choose the correct answer.
A sells a bicycle to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays Rs. 225 for it, the cost price of the bicycle for A is:
Option 1 : Rs. 110
Option 2 : Rs.120
Option 3 : Rs. 125
Option 4 : Rs. 150

Ques 202 : Choose the correct answer.
If 5% more is gained by selling an article for Rs. 350 than by selling it for Rs. 340, the cost of the article is:
Option 1 : Rs. 50
Option 2 : Rs. 160
Option 3 : Rs. 200
Option 4 : Rs. 225

Ques 203 : Choose the correct answer.
Consider the following statements : If a sum of money is lent at simple interest, then the
1. Money gets doubled in 5 years if the rate of interest is 50/3 %.
2. Money gets doubled in 5 years if the rate of interest is 20%.
3. Money becomes
Option 1 : 1 and 3 are correct
Option 2 : 2 alone is correct
Option 3 : 3 alone is correct
Option 4 : 2 and 3 are correct

Ques 204 : Choose the correct answer.
The difference between simple interest and compound interest on Rs.1200 for one year at 10% per annum reckoned half-yearly is:
Option 1 : Rs. 2.50
Option 2 : Rs. 3
Option 3 : Rs. 3.75
Option 4 : Rs. 4
Option 5 : None of these

Ques 205 : Choose the correct answer.
A sum of money lent at compound interest for 2 years at 20% per annum would fetch Rs. 482 more, if the interest was payable half-yearly than if it was payable annually. The sum is:
Option 1 : Rs. 10,000
Option 2 : Rs. 20,000
Option 3 : Rs. 40,000
Option 4 : Rs. 50,000

Ques 206 : Choose the correct answer.
The simple interest on Rs. 10 for 4 months at the rate of 3 paise per rupee per month is:
Option 1 : Rs. 1.20
Option 2 : Rs. 1.60
Option 3 : Rs. 2.40
Option 4 : Rs. 3.60

Ques 207 : Choose the correct answer.
If the compound interest on a sum for 2 years at 25/2 % per annum is Rs. 510, the simple interest on the same sum at the same rate for the same period of time is:
Option 1 : Rs. 400
Option 2 : Rs. 450
Option 3 : Rs. 460
Option 4 : Rs. 480

Ques 208 : Choose the correct answer.
I started on my bicycle at 7 a.m. to reach a certain place. After going a certain distance, my bicycle went out of order. Consequently, I rested for 35 minutes and came back to my house walking all the way. I reached my house at 1 p.m. If my cycling s
Option 1 : 4.92 km
Option 2 : 13.44 km
Option 3 : 14.375 km
Option 4 : 15.476 km

Ques 209 : Choose the correct answer.
A bag contains 10-paisa, 20-paisa and 25-paisa coins in the ratio 7:4:3. If the total value is Rs. 90, the number of 25-paisa coins in the bag is:
Option 1 : 120
Option 2 : 160
Option 3 : 280
Option 4 : 300

Ques 210 : Choose the correct answer.
Find a whole number such that when one of its digit is erased, the resulting number is equal to one-ninth of the original number. The resulting number is also a multiple of 9.
Option 1 : 90
Option 2 : 83438
Option 3 : 10125
Option 4 : 70847