Top CLAT Doubts this Week

PERTINENT
  • a)
    Irrational
  • b)
    Irregular
  • c)
    Insistent
  • d)
    Irrelevant
Correct answer is option 'D'. Can you explain this answer?

Pallabi Deshpande answered  •  Dec 18, 2024
CLAT
The opposite of pertinent is NOT impertinent, but irrelevant. Impertinent means "rude," while irrelevant means "unrelated." Pertinent is slightly more descriptive than relevant, as pertinent refers to immediate, precise, and direct relevance.

An amount of money grows upto Rs. 4000 in 2 years and up to Rs. 8000 in 3 years on compound interest. What is the sum?
  • a)
    Rs. 1600
  • b)
    Rs. 1000
  • c)
    Rs. 1200
  • d)
    Rs. 2400
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Aarav Sharma answered  •  3 weeks ago
CLAT
Solution:
Let the principal be Rs. x.
Given, the principal amount grows up to Rs. 4000 in 2 years and up to Rs. 8000 in 3 years on compound interest.

Calculation:
Using the formula for compound interest,
Amount after 2 years = x(1 + r/100)²
Amount after 3 years = x(1 + r/100)³

Given, amount after 2 years = Rs. 4000 and amount after 3 years = Rs. 8000<
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456 ÷ 24 * 38 – 958 + 364 = ?
  • a)
    126
  • b)
    127
  • c)
    128
  • d)
    138
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?

Aarav Sharma answered  •  Feb 11, 2022
CLAT
I'm sorry, I cannot provide context or respond to a number without additional information. Please provide more information or a question for me to 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
Correct answer is option 'A'. Can you explain this answer?

Mainak Majumdar answered  •  Sep 17, 2024
CLAT
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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Tatto bought a notebook containing 96 pages leaves and numbered them which came to 192 pages. Tappo tore out the latter 25 leaves of the notebook and added the 50 numbers she found on those pages. Which of the following is not true?
  • a)
    She could have found the sum of pages as 1990
  • b)
    She could have found sum of pages as 1275
  • c)
    She could have got sum of pages as 1375
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?

Tanishq Dey answered  •  Feb 07, 2020
CLAT
Information Given:
  • The notebook has 96 leaves, which means it has 192 pages (since each leaf has two pages).
  • The pages are numbered from 1 to 192.
  • Tappo tore out the last 25 leaves of the notebook. Since each leaf has 2 pages, she tore out 50 pages.
Step 1: Determine the page numbers torn out
The last 25 leaves correspond to the last 50 pages in the notebook. Since the total number of pages is 192, the page numbers torn out would be from 143 to 192.
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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?

Kaavya Chakraborty answered  •  May 09, 2022
CLAT
Solution:

Let's assume the number to be x.

Given, x mod 3 = 2, x mod 4 = 1 and x mod 7 = 4.

We can solve this problem using the Chinese Remainder Theorem.

Step 1: Find the value of x mod 12.
- x mod 3 = 2 => x = 3k + 2, where k is an integer.
- x mod 4 = 1 => 3k + 2 mod 4 = 1 => k mod 4 = 3.
- k = 4n + 3, where n is an integer.
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  • 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?

Knowledge Center answered  •  Aug 02, 2024
CLAT
Given,
14.998% of 619.999 =?
It can also be approximated as
15% of 600=?
= ×600
= 90 ≈ 95

If two numbers are each divided by the same divisor, the remainders are respectively 3 and 4. If the sum of the two numbers be divided by the same divisor, the remainder is 2. The divisor is
  • a)
    9
  • b)
    7
  • c)
    5
  • d)
    3
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?

Devika Dey answered  •  Nov 16, 2024
CLAT
To solve this problem, we need to use the concept of modular arithmetic. Modular arithmetic deals with the remainder when a number is divided by another number, called the modulus.

Let's assume the two numbers are x and y, and the divisor is d.

The given conditions can be represented as:
x ≡ 3 (mod d) -- (1)
y ≡ 4 (mod d) -- (2)
(x + y) ≡ 2 (mod d) -- (3)
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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?

Shraddha Mehta answered  •  Jan 25, 2022
CLAT
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
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Consider the following pairs:
1. Satluj River - Originates from Beas Kund
2. Ravi River - Originates from Bara Bhangal Glacier
3. Yamuna River - Forms the eastern boundary of Himachal Pradesh with Uttarakhand
4. Spiti River - Joins the Satluj River near Khab
How many pairs given above are correctly matched?
  • a)
    Only one pair
  • b)
    Only two pairs
  • c)
    Only three pairs
  • d)
    All four pairs
Correct answer is option 'C'. Can you explain this answer?

S.S Career Academy answered  •  Nov 15, 2024
CLAT
1. Satluj River - Incorrectly matched. The Satluj River originates from Rakas Lake in Tibet, not from Beas Kund.
2. Ravi River - Correctly matched. The Ravi River originates from the Bara Bhangal Glacier in the Himalayas.
3. Yamuna River - Correctly matched. The Yamuna River forms the eastern boundary of Himachal Pradesh with Uttarakhand.
4. Spiti River - Correctly matched. The Spiti River joins the Satluj River near Khab.
Thus, pairs 2, 3, and 4 are correctly matched.
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