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

Correct Answer:
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








Comments

No comments available




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
-- View Answer
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
-- View Answer
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
-- View Answer
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
-- View Answer
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
-- View Answer


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
-- View Answer
7). Among the supply side measures to contain inflation is
A). postponing public expenditure
B). mopping up excess liquidity through taxation
C). credit control measures of RBl
D). maintaining price levels through an effective PDS
-- View Answer
8). The purpose of central and state warehousing corporations is to
A). distribute fertilizers and seeds
B). to refinance farm credit
C). provide storage facility
D). process agricultural products
-- View Answer
9). The rationale given in the first plan for state intervention in the industrial sector was that
A). private sector was inefficient
B). State alone can ensure decentralization of wealth
C). Private sector was neither willing nor capable of investing in certain sectors
D). The commanding heights of the economy should be in the public sector
-- View Answer
10). Population experts refer to the possible 'demographic dividend' that may accrue to India around 2016 A-D' They are referring to the phenomenon of
A). sharp drop an the total population;
B). surge in the population in the productive age group
C). a decline in both birth and death rates;
D). a well-balance sex ratio.
-- View Answer