Top JEE Doubts this Week
The ratio of the income of A and B is 7 : 8, and the ratio of the income of B and C is 8 : 11, If the difference in the income earned by A and C is Rs. 800, then find the sum of income earned by all three of them.- a)Rs. 5200
- b)Rs. 4800
- c)Rs. 4000
- d)Rs. 3600
Correct answer is option 'A'. Can you explain this answer?
The ratio of the income of A and B is 7 : 8, and the ratio of the income of B and C is 8 : 11, If the difference in the income earned by A and C is Rs. 800, then find the sum of income earned by all three of them.
a)
Rs. 5200
b)
Rs. 4800
c)
Rs. 4000
d)
Rs. 3600
|
Mainak Majumdar answered • Sep 17, 2024 JEE |
Given:
Income ratio of A and B = 7 : 8
Income ratio of B and C = 8 : 11
Difference in income between A and C = Rs. 800
To find:
Sum of income earned by all three (A, B, and C)
Approach:
1. Let the income of A, B, and C be 7x, 8x, and 11y respectively.
2. Use the given ratios to form equations and solve them to find the values of x and y.
3. ... more
Income ratio of A and B = 7 : 8
Income ratio of B and C = 8 : 11
Difference in income between A and C = Rs. 800
To find:
Sum of income earned by all three (A, B, and C)
Approach:
1. Let the income of A, B, and C be 7x, 8x, and 11y respectively.
2. Use the given ratios to form equations and solve them to find the values of x and y.
3. ... more
Simplify:
- a)5/2
- b)2
- c)1
- d)
- e)None
Correct answer is option 'C'. Can you explain this answer?
Simplify:
a)
5/2
b)
2
c)
1
d)
e)
None
(C).1 is right answer
A and B together have Rs. 1210. If 
of A's amount is equal to 
of B's amount, how much amount does B have?
- a)Rs. 460
- b)Rs. 484
- c)Rs. 550
- d)Rs. 664
Correct answer is 'B'. Can you explain this answer?
A and B together have Rs. 1210. If of A's amount is equal to of B's amount, how much amount does B have?
of A's amount is equal to of B's amount, how much amount does B have?a)
Rs. 460
b)
Rs. 484
c)
Rs. 550
d)
Rs. 664
|
Manoj Ghosh answered • Sep 09, 2019 JEE |
A+B=1210(4/15)A=(2/5)B2A=3BTherefore, A=(3B)/2and substituting, (3B/2)+B=1210and hence, 5B=2420 => B=484 Rs.
- a)6410
- b)2959
- c)6084
- d)5776
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
a)
6410
b)
2959
c)
6084
d)
5776
e)
None of these
|
Sagar Sharma answered • Jul 04, 2019 JEE |
Understanding the Equation
We start with the equation:
√7921 × √? = 6942
To simplify this, we can use the property of square roots:
√A × √B = √(A × B)
Therefore, we can rewrite the equation as:
√(7921 × ?) = 6942
Squaring Both Sides
Next, we square both sides to eliminate the square root:
(7921 × ... more
We start with the equation:
√7921 × √? = 6942
To simplify this, we can use the property of square roots:
√A × √B = √(A × B)
Therefore, we can rewrite the equation as:
√(7921 × ?) = 6942
Squaring Both Sides
Next, we square both sides to eliminate the square root:
(7921 × ... more
Anita had to do a multiplication. Instead of taking 35 as one of the multipliers, she took 53. As a result, the product went up by 540. What is the new product?
- a)1050
- b) 540
- c)1440
- d)1590
Correct answer is option 'D'. Can you explain this answer?
Anita had to do a multiplication. Instead of taking 35 as one of the multipliers, she took 53. As a result, the product went up by 540. What is the new product?
a)
1050
b)
540
c)
1440
d)
1590
|
Meera Rana answered • Jan 22, 2022 JEE |
Let us assume that the number with which Anita has to perform the multiplication is 'x'.
Instead of finding 35x, she calculated 53x.
The difference = 53x - 35x = 18x = 540
Therefore, x = 540/18 = 30
So, the new product = 30 x 53 = 1590.
- a)2 - √3
- b)2 + √3
- c)16 - √3
- d)14 - √3
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
a)
2 - √3
b)
2 + √3
c)
16 - √3
d)
14 - √3
e)
None of these
|
Sanjeev Chalapandian answered • Aug 09, 2024 JEE |
=2+√3/2-√3 +2-√3/2+√3 +√3-1/√3+1
=(2+√3)^2 +(2-√3)^2/2^2-√3^2 +√3-1/√3+1
=8+6/4-3+√3-1/√3+1
=14+(√3-1/√3+1)
=14√3+14+√3-1/√3+1
=15√3+13/√3+1
=(15√3+13)×√3-1/√3^2-1^2
=45 -15√3+13√3-13/3-1
=32-2√3/2
=16-√3
=(2+√3)^2 +(2-√3)^2/2^2-√3^2 +√3-1/√3+1
=8+6/4-3+√3-1/√3+1
=14+(√3-1/√3+1)
=14√3+14+√3-1/√3+1
=15√3+13/√3+1
=(15√3+13)×√3-1/√3^2-1^2
=45 -15√3+13√3-13/3-1
=32-2√3/2
=16-√3
A red light flashes three times per minute and a green light flashes five times in 2 min at regular intervals. If both lights start flashing at the same time, how many times do they flash together in each hour?
- a)30
- b)24
- c)20
- d)60
Correct answer is option 'A'. Can you explain this answer?
A red light flashes three times per minute and a green light flashes five times in 2 min at regular intervals. If both lights start flashing at the same time, how many times do they flash together in each hour?
a)
30
b)
24
c)
20
d)
60
|
Arun Sharma answered • Sep 22, 2022 JEE |
A red light flashes three times per minute and a green light flashes five times in 2 min at regular intervals. So red light fashes after every 1/3 min and green light flashes every 2/5 min. LCM of both the fractions is 2 min.
Hence, they flash together after every 2 min. So in an hour they flash together 30 times.
Hence, they flash together after every 2 min. So in an hour they flash together 30 times.
Charlie and Alan run a race between points A and B, 5 km apart. Charlie starts at 9 a.m. from A at a speed of 5 km/hr, reaches B, and returns to A at the same speed. Alan starts at 9:45 a.m. from A at a speed of 10 km/hr, reaches B and comes back to A at the same speed. At what time do Charlie and Alan first meet each other?
- a)10 a.m.
- b)10:20 a.m.
- c)10:10 a.m
- d)10:30 a.m.
Correct answer is option 'C'. Can you explain this answer?
Charlie and Alan run a race between points A and B, 5 km apart. Charlie starts at 9 a.m. from A at a speed of 5 km/hr, reaches B, and returns to A at the same speed. Alan starts at 9:45 a.m. from A at a speed of 10 km/hr, reaches B and comes back to A at the same speed. At what time do Charlie and Alan first meet each other?
a)
10 a.m.
b)
10:20 a.m.
c)
10:10 a.m
d)
10:30 a.m.
|
Shraddha Mehta answered • Jan 25, 2022 JEE |
Solution:
Let us first calculate the time taken by Charlie to complete the round trip from A to B and back to A.
Distance between A and B = 5 km
Charlie's speed = 5 km/hr
Time taken to go from A to B = Distance/Speed = 5/5 = 1 hour
Time taken to come back from B to A = Distance/Speed = 5/5 = 1 hour
Total time taken by Charlie to complete the round trip = 1 + 1 = 2 hou... more
Let us first calculate the time taken by Charlie to complete the round trip from A to B and back to A.
Distance between A and B = 5 km
Charlie's speed = 5 km/hr
Time taken to go from A to B = Distance/Speed = 5/5 = 1 hour
Time taken to come back from B to A = Distance/Speed = 5/5 = 1 hour
Total time taken by Charlie to complete the round trip = 1 + 1 = 2 hou... more
- a)51
- b)59
- c)57
- d)53
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
a)
51
b)
59
c)
57
d)
53
e)
None of these
|
|
Sagar Sharma answered • Jun 18, 2024 JEE |
Understanding the Problem
The expression "185193 = ?" suggests that we are looking for a value that represents some relationship or calculation involving the number 185193.
Analyzing the Given Options
The options provided are:
- a) 51
- b) 59
- c) 57
- d) 53
- e) None of these
Identifying the Pattern
To determine w... more
The expression "185193 = ?" suggests that we are looking for a value that represents some relationship or calculation involving the number 185193.
Analyzing the Given Options
The options provided are:
- a) 51
- b) 59
- c) 57
- d) 53
- e) None of these
Identifying the Pattern
To determine w... more
- a)0.668
- b)2.99
- c)0.167
- d)7
- e)none of these
Correct answer is option 'B'. Can you explain this answer?
a)
0.668
b)
2.99
c)
0.167
d)
7
e)
none of these
Let 4.669 be a and 2.331 be B
then the whole term becomes like
a²-b²/a²+b²-2ab
= (a-b)(a+b) / (a-b)²
= (a+b) / (a-b)
= 4.669 + 2.331 / 4.669 - 2.331
= 7/2.338 = 2.99
then the whole term becomes like
a²-b²/a²+b²-2ab
= (a-b)(a+b) / (a-b)²
= (a+b) / (a-b)
= 4.669 + 2.331 / 4.669 - 2.331
= 7/2.338 = 2.99
7.8 + 5.4 x 8.2 = ?- a)52.08
- b)108.24
- c)48.05
- d)102.05
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
7.8 + 5.4 x 8.2 = ?
a)
52.08
b)
108.24
c)
48.05
d)
102.05
e)
None of these
|
|
Aarav Sharma answered • May 24, 2023 JEE |
Multiplying Decimals
To solve this problem, we need to multiply 5.4 and 8.2. Here’s how we’ll do it:
Step 1: Ignore the decimal points and multiply 54 and 82.
54 x 82 = 4428
Step 2: Count the number of decimal places in the numbers we multiplied. There is one decimal place in 5.4 and two decimal places in 8.2, so we’ll add those together to get three decimal p... more
To solve this problem, we need to multiply 5.4 and 8.2. Here’s how we’ll do it:
Step 1: Ignore the decimal points and multiply 54 and 82.
54 x 82 = 4428
Step 2: Count the number of decimal places in the numbers we multiplied. There is one decimal place in 5.4 and two decimal places in 8.2, so we’ll add those together to get three decimal p... more
After the division of a number successively by 3, 4 and 7, the remainders obtained are 2, 1 and 4 respectively. What will be the remainder if 84 divides the same number?- a)80
- b)75
- c)41
- d)53
Correct answer is option 'D'. Can you explain this answer?
After the division of a number successively by 3, 4 and 7, the remainders obtained are 2, 1 and 4 respectively. What will be the remainder if 84 divides the same number?
a)
80
b)
75
c)
41
d)
53
|
Krishna Iyer answered • May 09, 2022 JEE |
Since after division of a number successively by 3, 4 and 7, the remainders obtained are 2, 1 and 4 respectively, the number is of form ((((4*4)+1)*3)+2)k = 53K.
Let k = 1; the number becomes 53
If it is divided by 84, the remainder is 53.
Hence Option D is correct
For Complete syllabus of Quant for CAT click on the link given below:
Fetching relevant content for you
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup on EduRev and stay on top of your study goals
10M+ students crushing their study goals daily