The average marks of subject Maths and English is
The average marks of a student in Maths and English is 90. If the student scored 85 marks in Maths, what were their marks in English?
The average marks of a student in Maths and English is 90. If the student scored 85 marks in Maths, what were their marks in English?
Find the amount after 3 years if the rate of interest is 15% per annum and principal is Rs. 24,000.
Akhilesh ? Mar 31 '25 at 22:43
correct answer is: Rs. 34,800
Explanation: To find the amount after 3 years with a principal of Rs. 24,000 and an annual interest rate of 15%, we can use the simple interest formula: A=P+PRT Where:
- P=24,000 (principal amount)
- R=15%=0.15 (annual interest rate)
- T=3 years Plugging in the values: A=24,000+(24,000×0.15×3) A=24,000+10,800 A=34,800 Thus, the amount after 3 years is Rs. 34,800.
- OPTION a (Rs. 30,900): Too low; doesn't match the calculated amount.
- OPTION b (Rs. 32,700): Still too low; doesn't match the calculated amount.
- OPTION c (Rs. 36,500): Too high; likely assumes compound interest, which wasn't specified.
- OPTION d (Rs. 34,800): Correct; matches the calculated amount using simple interest.
If Meera's mother age is four times of Meera. After 5 years Meera's mother age will be three times than Meera, Then what will be the age of Meera?
Akhilesh ? Mar 31 '25 at 21:57
correct answer is: option b (b)[15 years]
Explanation: Let Meera's present age be x years. Then, Meera's mother's present age is 4x years.
After 5 years: Meera's age will be x+5 years and her mother's age will be 4x+5 years.
According to the problem, 4x+5=3(x+5)
4x+5=3x+15
4x−3x=15−5
x=10
Let consider the correction in question: If Meera's mother age is four times of Meera. After 10 years Meera's mother age will be twice than Meera, Then what will be the age of Meera? 4x+10=2(x+10)
4x+10=2x+20
2x=10
x=5
In above case, Meera's age will be 5. so that question has mistake.
Let consider the correction in question: If Meera's mother age is four times of Meera. After 5 years Meera's mother age will be three times than Meera, Then what will be the age of Meera's mother? 4x+5=3(x+5)
4x+5=3x+15
x=10
Meera's mother will be 4∗10=40
Let consider the correction in question: If Meera's mother age is four times of Meera. After 5 years Meera's mother age will be three times than Meera, Then what will be the age of Meera after 5 years? 4x+5=3(x+5)
4x+5=3x+15
x=10
Meera's age will be 10+5=15
- Option a: If Meera's age is 10, then her mother's age is 40. After 5 years, Meera will be 15 and her mother will be 45. 45 is not three times 15, so this option is incorrect.
- Option b: If Meera's age is 15, then her mother's age is 60. After 5 years, Meera will be 20 and her mother will be 65. 65 is not three times 20. so question or option is incorrect.
- Option c: If Meera's age is 20, then her mother's age is 80. After 5 years, Meera will be 25 and her mother will be 85. 85 is not three times 25, so this option is incorrect.
- Option d: If Meera's age is 23, then her mother's age is 92. After 5 years, Meera will be 28 and her mother will be 97. 97 is not three times 28, so this option is incorrect.
A can complete a work in 12 days and B can complete the same work in 24 days. Find the time taken by both A and B together to complete the work.
Akhilesh ? Mar 31 '25 at 21:54
correct answer is: option a (8 days)
Explanation: Let A's one day work be 112 and B's one day work be 124.
Then, (A + B)'s one day work = 112+124=2+124=324=18.
Therefore, A and B together can complete the work in 8 days.
A can complete a task in 16 days and B is 4 times faster than A. Find the part of work done by both A and B together in 1 day.
Akhilesh ? Mar 30 '25 at 22:15
correct answer is: option c) 516
Explanation: First, find B's work rate. Since B is 4 times faster than A, B takes 1/4 the time A takes to complete the work.
Therefore B can complete the work in 16/4 = 4 days.
A's work rate is 116 per day, and B's work rate is 14 per day.
Together, their work rate is 116+14=116+416=516.
- Option a: 58 is incorrect. This value is much higher than what A and B can do together in a day.
- Option b: 316 is incorrect. This is not the correct sum of the individual work rates.
- Option c: 516 is correct. This is the sum of A's and B's work rate per day.
- Option d: 320 is incorrect. This value is obtained by the wrong calculation.