Top CLAT Doubts this Week
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?
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
|
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)... more
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)... more
In the following question, out of the four alternatives, select the alternative which will improve the bracketed part of the sentence. In case no improvement is needed, select "no improvement". She glanced back to make sure she (wasn't to be) observed.- a)wasn't be
- b)wasn't being
- c)weren't being
- d)no improvement
Correct answer is option 'B'. Can you explain this answer?
In the following question, out of the four alternatives, select the alternative which will improve the bracketed part of the sentence. In case no improvement is needed, select "no improvement". She glanced back to make sure she (wasn't to be) observed.
a)
wasn't be
b)
wasn't being
c)
weren't being
d)
no improvement
|
Keerthana Yadav answered • Dec 01, 2023 CLAT |
The sentence is in past progressive passive form and hence being is used with past participle.
Read the each sentence to find out whether there is any grammatical error in it. The error, if any will be in one part of the sentence. The letter of that part is the answer. If there is no error, the answer is 'D'. (Ignore the errors of punctuation, if any).- a)One of the members
- b)expressed doubt if
- c)the Minister was an atheist.
- d)No error.
Correct answer is option 'B'. Can you explain this answer?
a)
One of the members
b)
expressed doubt if
c)
the Minister was an atheist.
d)
No error.
Correct formation of the sentence is " One of the members expressed doubt that the Minister was an atheist "
- 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 CLAT |
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
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 CLAT |
- 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
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 CLAT |
A+B=1210(4/15)A=(2/5)B2A=3BTherefore, A=(3B)/2and substituting, (3B/2)+B=1210and hence, 5B=2420 => B=484 Rs.
The study of ancient societies- a)Anthropology
- b)Archaeology
- c)History
- d)Ethnology
Correct answer is option 'B'. Can you explain this answer?
The study of ancient societies
a)
Anthropology
b)
Archaeology
c)
History
d)
Ethnology
|
|
Rahul Datta answered • Feb 16, 2020 CLAT |
Anthropology is the scientific study of humans, human behavior and societies in the past and present.
Archaeology is the scientific study of the material remains of past human life and activities.
History is the past as it is described in written documents, and the study thereof.
Ethology is the study of the characteristics of different peoples and the differences and relationships between them.
Archaeology is the scientific study of the material remains of past human life and activities.
History is the past as it is described in written documents, and the study thereof.
Ethology is the study of the characteristics of different peoples and the differences and relationships between them.
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 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. ... 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
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?
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
|
Ravi Singh answered • Mar 04, 2023 CLAT |
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.
⇒ 7x, 21x / 2 and 14x.
∴ the required ratio
= 7x : 21x / 2 : 14x
⇒ 14x : 21x : 28x
⇒ 2 : 3 : 4.
⇒ 14x : 21x : 28x
⇒ 2 : 3 : 4.
- 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
- 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 CLAT |
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
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
Two statements are given followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.Statements:Some horses are not trucks.All horses are white.Conclusions:I. Some white are trucks.II. Some horses being truck is a possibility.- a)Only conclusion I follows
- b)Neither conclusion I nor II follows
- c)Only conclusion II follows
- d)Both conclusions I and II follow
Correct answer is option 'C'. Can you explain this answer?
Two statements are given followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
Some horses are not trucks.
All horses are white.
Conclusions:
I. Some white are trucks.
II. Some horses being truck is a possibility.
a)
Only conclusion I follows
b)
Neither conclusion I nor II follows
c)
Only conclusion II follows
d)
Both conclusions I and II follow
|
Sheena rane answered • Aug 28, 2024 CLAT |
Understanding the statements:
- The first statement tells us that there are some horses that are not trucks.
- The second statement states that all horses are white.
Analysis of Conclusions:
I. Some white are trucks:
- This conclusion cannot be logically inferred from the given statements. Just because all horses are white does not mean that some white ... more
- The first statement tells us that there are some horses that are not trucks.
- The second statement states that all horses are white.
Analysis of Conclusions:
I. Some white are trucks:
- This conclusion cannot be logically inferred from the given statements. Just because all horses are white does not mean that some white ... more
Every decimal can be written as a _________.- a)fraction
- b)ratio
- c)decimal
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
Every decimal can be written as a _________.
a)
fraction
b)
ratio
c)
decimal
d)
None of these
|
Sounak Ghoshal answered • Dec 10, 2022 CLAT |
Introduction:
In mathematics, decimals are a way of representing fractions or rational numbers. A decimal is a number that includes a decimal point, separating the whole number part from the fractional part. Every decimal can be written as a fraction, which is a ratio of two integers. This is true for any decimal, whether it is a terminating decimal or a repeating decimal.
<... more
In mathematics, decimals are a way of representing fractions or rational numbers. A decimal is a number that includes a decimal point, separating the whole number part from the fractional part. Every decimal can be written as a fraction, which is a ratio of two integers. This is true for any decimal, whether it is a terminating decimal or a repeating decimal.
<... more
Consider the following pairs:1. Satluj River - Originates from Beas Kund2. Ravi River - Originates from Bara Bhangal Glacier3. Yamuna River - Forms the eastern boundary of Himachal Pradesh with Uttarakhand4. Spiti River - Joins the Satluj River near KhabHow 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?
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
Analysis of River-Origin Pairs
To determine how many pairs are correctly matched, let's analyze each statement one by one.
1. Satluj River - Originates from Beas Kund
- Explanation: The Satluj River actually originates from the Rakhigarhi region in Tibet, not Beas Kund. Hence, this pair is incorrect.
2. Ravi River - Originates from Bara Bhangal G... more
To determine how many pairs are correctly matched, let's analyze each statement one by one.
1. Satluj River - Originates from Beas Kund
- Explanation: The Satluj River actually originates from the Rakhigarhi region in Tibet, not Beas Kund. Hence, this pair is incorrect.
2. Ravi River - Originates from Bara Bhangal G... more
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