All India CAT Group

A bank offers two short term schemes:
1. Deposit a sum for 2 years on compound interest at r % p.a.
2. Deposit a sum for 3 years on simple interest at R % p.a.
 
Q.If, for a particular sum (P), either scheme yields the same amount and R/r = 2, what is the value of R?
  • a)
    10%
  • b)
    100%
  • c)
    800%
  • d)
    8%
  • e)
    None of the above
Correct answer is option 'C'. Can you explain this answer?

Gitanjali Rane answered  •  3 hours ago
Given:
- The bank offers two short-term schemes:
1. Deposit a sum for 2 years on compound interest at r% p.a.
2. Deposit a sum for 3 years on simple interest at R% p.a.
- For a particular sum (P), both schemes yield the same amount.
- R/r = 2

To find:
The value of R.

Solution:
Let's assume the principal amount for bo
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Direction: In the following questions a sentence is given followed by a blank. You are provided with three fragments i, ii, and iii. You have to identify which statement/statements can carry forward the given sentence in the most logical way so as to make the sentence coherent and contextually correct.
Q. Professor Martin spent his entire career as a teacher trying to encourage his students to appreciate __________.
i.) the struggle of the working class
ii.) his vintage leather boots
iii.) the beauty of poetry
  • a)
    Only (i)
  • b)
    Only (ii)
  • c)
    Only (iii)
  • d)
    Both (i) and (iii)
Correct answer is option 'D'. Can you explain this answer?

Divyansh Jain answered  •  5 hours ago
Coherent Sentence:
Professor Martin spent his entire career as a teacher trying to encourage his students to appreciate ________.

Options:
i.) the struggle of the working class
ii.) his vintage leather boots
iii.) the beauty of poetry

Explanation:
To identify the most logical statement/statements that can carry forward the given s
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I ____________ (not / work)  all day; so I wasn't tired and went to the disco at night.
Correct answer is 'had not been working'. Can you explain this answer?

Divyansh Jain answered  •  5 hours ago
Explanation:

The correct answer to the given sentence is "had not been working." This answer is in the past perfect continuous tense, which is used to express an ongoing action that started in the past and continued up until another point in the past.

Breakdown of the sentence:

The sentence can be broken down into two parts:

1. The action o
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What will be the value of a + b + c + d, if 6893a98b is divisible by 11 and 8 and 592200c9d is divisible by 8 and 9?
  • a)
    5
  • b)
    7
  • c)
    8
  • d)
    13
  • e)
    14 
Correct answer is option 'E'. Can you explain this answer?

Divyansh Jain answered  •  6 hours ago
To determine the values of a, b, c, and d, we need to find the possible values that satisfy the given conditions.

Condition 1: 6893a98b is divisible by 11 and 8
To check if a number is divisible by 11, we can use the divisibility rule: the difference between the sum of the digits in the odd positions and the sum of the digits in the even positions should be divisible by 11.
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Subham Choudhury answered  •  12 hours ago
Introduction
Sun Kred is a financial institution that offers loans to customers in need of funds. They provide personalized loan solutions to cater to the unique requirements of individuals.

Loan Options
Sun Kred offers a wide range of loan options to customers, including personal loans, business loans, education loans, and home loans. Each loan option is tailore
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Sun Kred is a loan app that provides financial assistance to its customers. With a focus on customer care, Sun Kred offers a helpline number for users to reach out for support and assistance. The helpline number for Sun Kred is 7415437601 and 9706590327.

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1. Sun Kred Loan App:
Sun Kred is a lo
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Directions: Identify the part of speech for the underlined word in the following sentence.
I will never ever do it again.
  • a)
    noun
  • b)
    adverb
  • c)
    adjective
  • d)
    preposition
Correct answer is option 'B'. Can you explain this answer?

Subham Choudhury answered  •  13 hours ago
Part of Speech Identification: Adverb

Explanation:
In the given sentence, the underlined word "ever" is an adverb.

Definition of Adverb:
An adverb is a part of speech that modifies a verb, adjective, or another adverb. It provides more information about the manner, place, time, frequency, degree, or certainty of the action or state expressed by
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Statement: The address of the Principal to the students, "Dear students, if you want a healthy mind, listen to music."
Assumptions:
I. Normally students like to follow good advice.
II. It is desirable to develop a healthy mind.
III. It is the duty of the Principal to advise the students.
  • a)
    Only I and II are implicit
  • b)
    Only II and III are implicit
  • c)
    Only I and III are implicit
  • d)
    None is implicit
Correct answer is option 'A'. Can you explain this answer?

EduRev CAT answered  •  13 hours ago
The Principal has advised the students regarding their welfare. This implies that students like to follow good advice. So, I is implicit. Since the Principal stresses on having 'a healthy mind', it implies that students desire for the same. So, II is implicit. However, the Principal has given the advice out of deep concern for his students and not because it is his duty. So, III is not implicit.

If the equation x3 + ax2 + bx + c = 0 has the rational roots a, b and c, which of the following is definitely false?
  • a)
    b cannot be positive
  • b)
    c cannot be positive
  • c)
    a + b + c cannot be positive
  • d)
    None o f these
Correct answer is option 'D'. Can you explain this answer?

Subham Choudhury answered  •  13 hours ago
To determine which of the given statements is definitely false, we need to analyze the properties of rational roots for a cubic equation.

1. Rational Root Theorem:
If a polynomial equation has a rational root p/q, where p and q are integers with no common factors, then p must be a factor of the constant term c, and q must be a factor of the leading coefficient a.

2. Prop
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A cylindrical wire is made using an old wire. If radius of the new wire is 2 times that of the original, what is the ratio of the length of the new wire to the length of the original wire?
  • a)
     1 : 4
  • b)
    2 : 5
  • c)
    4 : 1
  • d)
    2 : 3
Correct answer is option 'A'. Can you explain this answer?

Subham Choudhury answered  •  13 hours ago
Given:
- The radius of the new wire is 2 times that of the original wire.

To find:
- The ratio of the length of the new wire to the length of the original wire.

Solution:
Let's assume the radius of the original wire is 'r' and the radius of the new wire is '2r'.

Length of the original wire:
The length of the original
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If for real a, b and c, ab + be + ca = 2 then a2 + b2 + c2 cannot take which of the following values?
  • a)
    5
  • b)
    0
  • c)
    -1
  • d)
    More than one of the above
Correct answer is option 'D'. Can you explain this answer?

Subham Choudhury answered  •  13 hours ago
Explanation:

We are given that ab * bc * ca = 2.

Let's assume that a^2 * b^2 * c^2 can take the value x.

We can rewrite a^2 * b^2 * c^2 as (ab * bc * ca)^2.

So, (ab * bc * ca)^2 = x.

Taking the square root of both sides, we get ab * bc * ca = √x.

Since we know that ab * bc * ca = 2, we can substitute this value in the above e
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What will be the remainder when 260 - 1 is divided by 5?
  • a)
    3
  • b)
    2
  • c)
    1
  • d)
    0
Correct answer is option 'D'. Can you explain this answer?

Subham Choudhury answered  •  13 hours ago
Remainder when 260 - 1 is divided by 5:

To find the remainder when 260 - 1 is divided by 5, we need to perform the subtraction first and then divide the result by 5. Let's break down the process step by step:

Step 1: Perform the subtraction
260 - 1 = 259

So, we are left with the number 259.

Step 2: Divide the result by 5
To find the rema
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A clock is set right at 8 a.m. and it gains 10 minutes in 24 hours. What will be the true time when the clock indicates 1:00 p.m. the following day?
  • a)
    12 o'clock
  • b)
    16 minutes past 12
  • c)
    48 minutes past 12
  • d)
    30 minutes past 12
  • e)
    24 minutes past 12
Correct answer is option 'C'. Can you explain this answer?

Sneha Reddy answered  •  15 hours ago
Let's solve this problem step by step:

Given:
- The clock gains 10 minutes in 24 hours.
- The clock is set right at 8 a.m.

To find:
- The true time when the clock indicates 1:00 p.m. the following day.

Step 1: Calculate the time gained per hour
Since the clock gains 10 minutes in 24 hours, we need to find the time gained per hour.
10 minute
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Directions: Find the odd one out.
  • a)
    TPLH
  • b)
    SOKG
  • c)
    ZVRN
  • d)
    UQMJ
Correct answer is option 'D'. Can you explain this answer?

Sneha Reddy answered  •  15 hours ago
Odd One Out: UQMJ

The given options are:
a) TPLH
b) SOKG
c) ZVRN
d) UQMJ

To identify the odd one out, we need to analyze the patterns or relationships among the letters in each option.

Analysis:
1. TPLH:
- There is no apparent pattern or relationship among the letters in this option.

2. SOKG:
- There is no appar
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