Maths Practice Question and Answer
8 Q: The bus fare between two cities is increased in the ratio 17:20. Find the increase in the fare, if the original fare is Rs. 425
1810 05ecf33b879d67a247e486dd1
5ecf33b879d67a247e486dd1- 1Rs 500false
- 2Rs 75true
- 3Rs 100false
- 4Rs 200false
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Answer : 2. "Rs 75"
Q: The sides of a rectangular plot are in the ratio 5: 4 and its area is equal to 500 sq.m. The perimeter of the plot is:
1810 15ee1f3e2ebfcbb0504578f73
5ee1f3e2ebfcbb0504578f73- 180 mfalse
- 2100 mfalse
- 390 mtrue
- 495 mfalse
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Answer : 3. "90 m"
Q: What will be the compound interest on a sum of Rs 7500 at 4 % in 2 years?
1810 05df0b7133d76f974e561f1c6
5df0b7133d76f974e561f1c6- 1618false
- 2612true
- 3624false
- 4606false
- 5621false
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Answer : 2. "612"
Q: Find the angle between the hour hand and the minute hand of a clock when the time is 3.25
1809 15fca51d9300c5b7404b2b38d
5fca51d9300c5b7404b2b38d- 1$$47{1\over 2}^0 $$true
- 2$$46^0$$false
- 3$$45^0 $$false
- 4$$37{1\over 2}^0 $$false
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Answer : 1. "$$47{1\over 2}^0 $$"
Q: The average of 5 consecutive odd numbers A, B, C, D and E is 45. What is the product of B and D? 1809 05d19d71f1388cd24f0860f05
5d19d71f1388cd24f0860f05- 12107false
- 22205false
- 31935false
- 42021true
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Answer : 4. "2021"
Explanation :
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Q: A can do a piece of work in 12 days. When he had worked for 3 days. B joined him. If they complete the work in 3 more days, in how many days can B alone finish the work?
1808 05f2b8e15cef453383f2157af
5f2b8e15cef453383f2157af- 14 daysfalse
- 28 daysfalse
- 36 daystrue
- 412 daysfalse
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Answer : 3. "6 days"
Q: The price of sugar increases by 15%. By what percentage should the consumption of sugar be decreased so that the expenditure on the purchase of sugar remains the same? [Give your answer correct to 2 decimal places.]
1808 0643d140332185cce373eec85
643d140332185cce373eec85- 111.11%false
- 212.5%false
- 314.16%false
- 413.04%true
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Answer : 4. "13.04%"
Explanation :
To solve this problem, let's denote:
- Initial price of sugar = P
- Initial quantity consumed = Q
- Initial expenditure = PQ
After the price increases by 15%, the new price becomes 1.15P.
To keep the expenditure constant, the new quantity consumed (let's call it Q') can be calculated using the formula:
New expenditure = New price × New quantity
Setting the new expenditure equal to the initial expenditure:
PQ = (1.15P) * Q'
Now, solve for Q':
Q' = PQ / (1.15P)
Simplify:
Q' = Q / 1.15
Now, let's find the percentage decrease in consumption:
Percentage decrease = [(Q - Q') / Q] * 100
Substituting the value of Q':
Percentage decrease = [(Q - (Q / 1.15)) / Q] * 100
Percentage decrease = [(Q * (1 - 1/1.15)) / Q] * 100
Percentage decrease ≈ [(1 - 0.8696) * 100] ≈ 13.04%
Therefore, the consumption of sugar should be decreased by approximately 13.04% to keep the expenditure on the purchase of sugar the same after a 15% increase in price.
Q: Two trains start from P and Q respectively and travel towards each other at a speed of 50 km/hour and 40 km/hour respectively. By the time they met the first train had travelled 100 km more than the second. Find the distance between P and Q?
1808 15fc47721070eb7152d7e9f1a
5fc47721070eb7152d7e9f1a- 1500 kmfalse
- 2630 kmfalse
- 3660 kmfalse
- 4900 kmtrue
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