Maths Practice Question and Answer
8 Q: The radius of the incircle of a triangle is 2 cm. If the area of the triangle is 6 cm2. Then its perimeter is -
1808 160f7e59a3ca0726dff3521c2
60f7e59a3ca0726dff3521c2- 16 cmtrue
- 212 cmfalse
- 38 cmfalse
- 49 cmfalse
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Answer : 1. "6 cm "
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: The largest and the smallest angles of a triangle are in the ratio of 3:1 respectively. The second largest angle of the triangle is equal to 56°. What is the value of largest angle of the triangle?
1808 05fd3185ceddcb86a7ee2c25e
5fd3185ceddcb86a7ee2c25e- 149false
- 2129false
- 3123false
- 493true
- 5None of thesefalse
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Answer : 4. "93"
Q:The following pie-chart shows the monthly expenditure of family on various items. If the family spends Rs. 825 on clothing answer the question
What percent of the total income does the family save
1808 05de4e15d76066724df64c321
5de4e15d76066724df64c321- 115 %true
- 250%false
- 320%false
- 425%false
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Answer : 1. "15 %"
Explanation :
Q: In the first 10 overs of a cricket game, the run rate was only 3.2. The run rate in the remaining 40 overs to reach the target of 282 runs is –
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5ffd78e74426b26e3e54b144- 16.4false
- 26.3false
- 36.25true
- 46.5false
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Answer : 3. "6.25"
Q: In the given figure BC=15 cm and Sin B=4/5. then find out the value of AB?
1807 05f4df136081699374e8550a6
5f4df136081699374e8550a6- 125 cmtrue
- 220 cmfalse
- 35 cmfalse
- 44 cmfalse
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Answer : 1. "25 cm"
Q: Two partners invest ₹ 1,25,000 and ₹ 85,000 respectively in a business and agree that 60% of the profit should be divided equally between them and the remaining profit is to be divided into ratio of their capitals. If one partner gets 300 more than the other. Find the total profit made in the business.
1807 05dcbcfc9e9d33d6509bec565
5dcbcfc9e9d33d6509bec565- 1₹ 3739. 50false
- 2₹ 3937. 50true
- 3₹ 3749. 50false
- 4₹ 3947.50false
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Answer : 2. "₹ 3937. 50 "
Q: If (a-b)2 + (b-c)2 + (c-a)2 = 0, then find the value of (a3+b3+c3-3abc) ?
1807 0608047dfb0979a7c5fca3d61
608047dfb0979a7c5fca3d61- 12false
- 2-1false
- 30true
- 41false
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