Top JEE Doubts this Week

  • a)
    51
  • b)
    59
  • c)
    57
  • d)
    53
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?

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
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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?

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
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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?

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.
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Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio after increased seats?
  • a)
    2 : 3 : 4
  • b)
    6 : 7 : 8
  • c)
    6 : 8 : 9
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?

Ravi Singh answered  •  Mar 04, 2023
JEE
Originally, let the number of seats for Mathematics, Physics and Biology be 5x, 7x and 8x respectively.
Number after increased seats are (140% of 5x), (150% of 7x) and (175% of 8x).
⇒ (140 / 100 x 5x), (150 / 100 x 7x) and (175 / 100 x 8x)
⇒ 7x, 21x / 2 and 14x.
∴ the required ratio
= 7x : 21x / 2 : 14x
⇒ 14x : 21x : 28x
⇒ 2 : 3 : 4.

  • 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?

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

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?

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)
    0.668
  • b)
    2.99
  • c)
    0.167
  • d)
    7
  • e)
    none of these
Correct answer is option 'B'. Can you explain this answer?

Prince answered  •  Aug 02, 2024
JEE
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

  • a)
    6410
  • b)
    2959
  • c)
    6084
  • d)
    5776
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?

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 ×
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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?

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.
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