CAT Questions

Q:

A fair coin is tossed 11 times. What is the probability that only the first two tosses will yield heads ?

A) (1/2)^11 B) (9)(1/2)
C) (11C2)(1/2)^9 D) (1/2)
 
Answer & Explanation Answer: A) (1/2)^11

Explanation:

Probability of occurrence of an event, 

P(E) = Number of favorable outcomes/Numeber of possible outcomes = n(E)/n(S)


⇒ Probability of getting head in one coin = ½, 

⇒ Probability of not getting head in one coin = 1- ½ = ½, 

Hence, 

All the 11 tosses are independent of each other.

∴ Required probability of getting only 2 times heads =122×129=1211

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Filed Under: Probability
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7 8139
Q:

What is one way to appeal to ethos?

A) By referencing trusted sources B) By starting with a specific argument
C) By creating a repetitive pattern D) By choosing descriptive nouns
 
Answer & Explanation Answer: C) By creating a repetitive pattern

Explanation:

The Three Rhetorical Appeals is an argument made by Aristotle in which he states that there are three elements to the art of persuasion: ethos, pathos and logos.

 

Ethos is the ethical appeal, which intends to persuade the audience of the author's credibility/character.

Pathos is the emotional appeal, which intends to persuade the audience by appealing to their emotions.

Logos is the logical appeal, which intends to persuade the audience using reason and logic.

 

In order to make an ethos, or ethical appeal, convince the audience that you are a reliable, intelligent and can be trusted. Here is how you can achieve this:

1. Provide personal experience or know someone whose experience can relate to what you are talking about

2. Use detailed and recent research in your argument

3. Use professional and appropriate vocabulary

4. Avoid sounding overly emotional

5. Only use first person when talking about personal experience; otherwise, write in third person.

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Filed Under: Alphabet Test
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8 8134
Q:

If Reena’s age was twice of her present age, when subtracted from four times three years from hence, with three times the three years before her present age. What will be her age after one year ?

A) 22 yrs B) 21 yrs
C) 20 yrs D) 24 yrs
 
Answer & Explanation Answer: A) 22 yrs

Explanation:

Let Reena’s present age be 'K' yrs.
Given:{(K+3) x 4} - {(K-3) x 3)}
=> K = 21 yrs
So her present age is 21 yrs.
Then, her age after 1 year is 22 yrs.

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Filed Under: Problems on Ages
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6 8123
Q:

Ayush was born two years after his father's marriage. His mother is five years younger than his father but 20 years older than Ayush who is 10 years old. At what age did the father get married ?

A) 25 years B) 24 years
C) 23 years D) 22 years
 
Answer & Explanation Answer: C) 23 years

Explanation:

Ayush's present age = 10 years.
His mother's present age = (10 + 20) years = 30 years.
Ayush's father's present age = (30 + 5) years = 35 years.
Ayush's father's age at the time of Ayush's birth = (35 - 10) years = 25 years.

Therefore Ayush's father's age at the time of marriage = (25 - 2) years = 23 years.

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Filed Under: Problems on Ages
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11 8119
Q:

It costs Rs. p each to send the first thousand messsages and Rs. q to send each subsequent one . If r is greater than 1,000, how many Rupees will it cost to send r messages ?

A) 1000 (r - p) + pq B) 1000 p + qr
C) 1000 (r - q) + pr D) 1000(p - q) + qr
 
Answer & Explanation Answer: D) 1000(p - q) + qr

Explanation:

We need to find the total cost to send r messsages, r > 1000.

The first 1000 messsages will cost Rs.p each (Or) 

The total cost of first 1000 messsages = Rs.1000p

The remaining (r - 1000) messsages will cost Rs.q each (Or)

The cost of the (r - 1000) = Rs.(r - 1000)y

 

Therefore, total cost = 1000p + rq - 1000q

= 1000(p - q) + qr

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Filed Under: Average
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15 8116
Q:

In a worksheet, you can select

A) Only rows B) Only columns
C) Entire worksheet D) All of the above
 
Answer & Explanation Answer: D) All of the above

Explanation:

A worksheet or sheet is a collection of cells in a file created with an electronic spreadsheet program such as Microsoft Excel or Google Sheets where we can keep and save data.

 

in_a_worksheet_you_can_select1557727086.jpg image

 

Here in a worksheet, we can select a single row or column or multiple rows or columns or we can select the entire worksheet. We can create multiple worksheets in a workbook.

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7 8109
Q:

Vishal, Priyatham, Raghu, Karthik and Veeru are five friends. Vishal is twice as old as priyatham. Raghu is half age of Priyatham. Vishal is half the age of Veeru and Raghu is twice the age of Karthik.

Question:
Who is the youngest ?

A) Veeru B) Karthik
C) Vishal D) Raghu
 
Answer & Explanation Answer: B) Karthik

Explanation:

Let Priyatham's age = x

Then, Vishal's age = 2x; Raghu's age = x/2; Veeru's age = 4x ; Karthik's age = x/4

So, the descending order of ages is :

Veeru > Vishal > Priyatham > Raghu > Karthik

Therefore,  Karthik is the youngest.

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Filed Under: Logical Sequence of Words
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14 8106
Q:

An individual deposited 20% of 25% of 30% of what he had into his account with a bank. If he deposited Rs.750, how much was he having initially with him before depositing ?

A) Rs. 38000 B) Rs. 47000
C) Rs. 50000 D) Rs. 35000
 
Answer & Explanation Answer: C) Rs. 50000

Explanation:

Let 'x' be the amount he had in the bank.

=> 20/100(25/100(30/100(x))) = 750

x = 750 x 8000/120 = Rs. 50000

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Filed Under: Percentage
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5 8105