Topics

There are two examination halls P and Q. If 10 students shifted P to Q, then the number of students will be equal in both the examination halls. If 20 students shifted from Q to P, then the students of P would be doubled to the students of Q. The numbers of students would be in P and Q, respectively are

 A) 60, 40 B) 70, 50 C) 80, 60 D) 100, 80

 D) 100, 80

Description for Correct answer:
Let number of students in examination halls P and Q is x and y, respectively.

Then, as per the first condition,

x - 10 = y + 10

= x - y = 20 ...(i)

As per the second condition,

$$\Large x + 20 = 2 \left(y - 20\right)$$

=> x + 20 = 2y - 40

=> x - 2y = -60 ...(ii)

On subtracting Eq. (ii) from Eq. (i), we get

-y + 2y = 20 + 60

=> y = 80

Putting the value of y in Eq. (i), we get

x - 80 = 20 => x =100

Hence, number of students in examination halls P and Q is 100 and 80, respectively.

Part of solved Word problems questions and answers : >> Aptitude >> Word problems

Similar Questions
1). In a two-digit positive number, the unit digit is equal to the square of ten's digit. The difference between the original number and the number formed by interchanging the digits is 54. What is 40% of the original number?
 A). 15.6 B). 73 C). 84 D). None of the above
2). In a three-digit number, the digit in the unit's place is four times the digit in the hundred's place. If the digit in the unit's place and the ten's place are interchanged, the new number so formed is 18 more than the original number. If the digit in the hundreds place is one-third of the digit in the ten's place, then what is 25% of the original number?
 A). 67 B). 84 C). 137 D). Couldn't be determined
3). The sum of the squares of two numbers is 97 and the squares of their difference is 25. The product of the two numbers is
 A). 45 B). 36 C). 54 D). 63
4). Consider the following statement: Inflation is an increase in the average level of prices. This implies that
1. The price of essential commodities outstrips income
2. Money supply grows at a higher rate than GDP in real terms
3. The exchange rate of a currency falls
4. Fiscal deficit exceeds balance of payment deficit.
Select the correct answer from the codes given below:
 A). 1, 2 and 4 only B). 2 only C). 1 and 4 only D). 1, 2,3 and 4
5). The existence of Black Money in the economy is recognized as a threat to the Indian economic system. Which of the following features is/are attributes of Black Money?
1. It refers to money generated through illegitimate means such as drug trade, crime, terrorism and corruption.
2. It includes counterfeit currency notes in circulation.
3. Wealth may have been generated through legitimate means but income thereon has not been declared nor the taxes due paid to the government.
4. None of the above.
Select the correct answer from the codes given below:
 A). 4 only B). 1, 2 and 3 only C). 3 only D). 1 and 3 only

6). Which of the following is not a reason for cost-push inflation?
 A). The payment of dearness allowance to employees B). The existence of a large parallel economy C). Fluctuations in agricultural and industrial output D). Excessive indirect taxation