To find the time required to fill the entire vessel, we divide the total capacity (1) by the rate of filling (3/7 per minute). Thus, 1 divided by 3/7 equals 7/3 minutes.
12
A total of Rs. 3600 is distributed among 60 individuals (men and women). Each man receives Rs. 75 more than each woman, and the total amount received by all men is Rs. 1440 more than the total amount received by all women. Determine the total number of women.
Let M be the total for men and W be the total for women. Given M+W=3600 and M-W=1440, we find M=2520 and W=1080. By setting up equations for the number of men and women and their respective per-person shares, we solve for the number of women, which results in 36.
13
Business partners Q, R, and S divide their annual profit in the ratio 2:5:8. If Q's share is Rs. 4,000, what is the total profit for the year?
Q's share represents 2 parts out of a total of 15 parts (2+5+8=15). If 2 parts equal Rs. 4,000, then 1 part equals Rs. 2,000. The total profit is 15 parts, so 15 * 2,000 = Rs. 30,000.
14
A, B, and C enter a partnership. A invests Rs. 1,000 for 8 months, B invests Rs. 1,500 for 9 months, and C invests Rs. 1,800 for 6 months. Given a total profit of Rs. 1,615, what is B's share?
Profit is distributed based on the product of investment and time. Ratios are A: 1000*8=8000, B: 1500*9=13500, C: 1800*6=10800. Total ratio sum = 8000 + 13500 + 10800 = 32300. B's share = (13500 / 32300) * 1615. Simplifying this calculation results in 675.
15
Ikram and Zahid form a business partnership. Ikram invests Rs. 4,000 for 8 months, while Zahid invests Rs. 6,000 for 4 months. If the total profit is Rs. 3,500, what is Ikram's share?
The profit is distributed based on the product of capital and time. Ikram's contribution is 4,000 * 8 = 32,000, and Zahid's is 6,000 * 4 = 24,000. The ratio is 32,000:24,000, which simplifies to 4:3. Ikram's share is 4/7 of the total profit of 3,500, which equals 2,000.
16
Shaista invested Rs. 60,000 to start a business, and Jameela joined her 4 months later with an investment of Rs. 40,000. If the total profit at the end of the year is Rs. 5,200, what is Jameela's share of the profit?
Shaista's investment was active for 12 months, while Jameela's was active for 8 months. The ratio of their effective capital is (60,000 * 12) : (40,000 * 8), which simplifies to 720,000 : 320,000, or 9:4. The total parts are 13. Jameela's share is 4/13 of the total profit of Rs. 5,200, which equals Rs. 1,600.
17
If February 18, 2005, is a Friday, what day of the week will February 18, 2007, fall on?
To determine the day, we calculate the number of odd days. From February 18, 2005, to February 18, 2006, is one year (365 days), which contains one odd day. From February 18, 2006, to February 18, 2007, is another year, also containing one odd day. Total odd days equal two. Adding two days to Friday results in Sunday.
18
If the 4th day of a month is a Tuesday, what day of the week will it be three days after the 24th of that same month?
If the 4th is a Tuesday, then the 11th, 18th, and 25th are also Tuesdays. If the 25th is a Tuesday, then the 24th is a Monday. Three days after the 24th is the 27th. Since the 25th is a Tuesday, the 26th is Wednesday, and the 27th is Thursday.
19
If January 30, 2003, was a Thursday, what day of the week was March 2, 2003?
In 2003, February had 28 days. From January 30 to March 2, we count the remaining day in January (1 day), all of February (28 days), and the first two days of March. Total days = 1 + 28 + 2 = 31 days. Dividing 31 by 7 gives a remainder of 3. Adding 3 days to Thursday results in Sunday.
20
If August 25th falls on a Thursday, how many Mondays occur in that month?
If August 25th is a Thursday, we can count backward to find the Mondays. August 22nd is a Monday. Subtracting 7 days repeatedly, the Mondays in August are the 1st, 8th, 15th, 22nd, and 29th. Since there are five dates that fall on a Monday within a 31-day month, the total count of Mondays is five.
