Top JEE Doubts this Week
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
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
Direction: Study the following question carefully and choose the right answer.If ZOO is coded as 2, TAN is coded as 8, then what is the code for WAR?- a)3
- b)6
- c)4
- d)7
Correct answer is option 'B'. Can you explain this answer?
Direction: Study the following question carefully and choose the right answer.
If ZOO is coded as 2, TAN is coded as 8, then what is the code for WAR?
a)
3
b)
6
c)
4
d)
7
|
Nilesh Joshi answered • Apr 07, 2024 JEE |
- Explanation:
Explanation of the coding pattern used to decipher the code for "WAR":
- Pattern:
- The code for each letter is determined by its position in the alphabet.
- The position of the letter in the alphabet is multiplied by the number of letters in the word.
- For example, Z (26th letter) is coded as 2 because 26 * 1 = 2. T (20th ... 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:
Let S be the set of prime numbers greater than or equal to 2 and less than 100. Multiply all the elements of S. With how many consecutive zeroes will the product end?- a)1
- b)4
- c)5
- d)10
Correct answer is option 'A'. Can you explain this answer?
Let S be the set of prime numbers greater than or equal to 2 and less than 100. Multiply all the elements of S. With how many consecutive zeroes will the product end?
a)
1
b)
4
c)
5
d)
10
|
|
Kavya Saxena answered • Apr 28, 2022 JEE |
For number of zeroes we must count number of 2 and 5 in prime numbers below 100.
We have just 1 such pair of 2 and 5.
Hence we have only 1 zero.
We have just 1 such pair of 2 and 5.
Hence we have only 1 zero.
- 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
Find the highest power of 24 in 150!
- a)46
- b)47
- c)48
- d)49
Correct answer is option 'C'. Can you explain this answer?
Find the highest power of 24 in 150!
a)
46
b)
47
c)
48
d)
49
|
|
Anaya Patel answered • Mar 01, 2020 JEE |
24 = 8 × 3
Therefore, we need to find the highest power of 8 and 3 in 150!
8 = 23
Highest power of 8 in 150! is:
Therefore, we need to find the highest power of 8 and 3 in 150!
8 = 23
Highest power of 8 in 150! is:
= [(150 / 2) + (150 / 4) + (150 / 8) + (150 / 16) + (150 / 32) + (150 / 64) +(150 / 128)] / 3
= 48
= 48
Highest power of 3 in 150! is:
= [150 / 3] + [150 / 9] + [150 / 27] + [150 / 81]
= 72
= 72
As the powers of 8 are less, powers of 24 in 150! = 48
- 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)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)62/3
- b)6
- c)31/3
- d)3
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
a)
62/3
b)
6
c)
31/3
d)
3
e)
None of these
|
Faizan Khan answered • Jun 21, 2020 JEE |
On solving, we will get x = 3 or x = -2
Ignoring the negative value answer is 3.
Ignoring the negative value answer is 3.
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
- 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
4/439 + ? + 354 = 865
- a)530.56
- b)None of these
- c)520.47
- d)520.56
- e)510.984
Correct answer is option 'E'. Can you explain this answer?
4/439 + ? + 354 = 865
a)
530.56
b)
None of these
c)
520.47
d)
520.56
e)
510.984
|
|
Sagar Sharma answered • Jul 25, 2024 JEE |
Understanding the Equation
To solve the equation \( \frac{4}{439} + ? + 354 = 865 \), we first need to isolate the unknown variable represented by "?".
Step 1: Rearranging the Equation
We can rearrange the equation as follows:
\[
? = 865 - 354 - \frac{4}{439}
\]
Step 2: Calculate the Known Values
Now, let's calculate the valu... more
To solve the equation \( \frac{4}{439} + ? + 354 = 865 \), we first need to isolate the unknown variable represented by "?".
Step 1: Rearranging the Equation
We can rearrange the equation as follows:
\[
? = 865 - 354 - \frac{4}{439}
\]
Step 2: Calculate the Known Values
Now, let's calculate the valu... more
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