Common Admission Test (CAT) Questions and Answers with Explanation

Q:

Five farmers have 7,9,11,13 & 14 apple trees respectively in their orchards. Last year each of them discovered that every tree in their own orchard yields exactly the same number of apples. Further, if the 3rd farmer gives one apple to the 1st and the 5th gives 3 to each of the 2nd & d 4th, they would all exactly have the same number of apples, what were the yields per tree in the orchards of the 3rd & 4th farmers ?

A) 17 & 9	B) 9 & 11
C) 9 & 9	D) 11 & 9

Answer & Explanation Answer: D) 11 & 9

Explanation:

Let the number of apples in each tree of the 5 farmers be a, b, c, d,e respectively. Therefore total no of apples are 7a, 9b, 11c, 13d and 14e respectively.

Given,
7a+1 = 9b+3 = 11c-1 = 13d+3 = 14e-6 = x

9b+3 = 13d+3
===> 9b = 13d
so take b = 13 and d = 9

9b+3 = 9*13+3 = 120
ie, x=120

substituting
7a+1 = 120
7a = 119
a = 17

11c-1 = 120
11c = 121
c=11

14e-6 = 120
14e = 126
e = 9

Yields per tree in the orchards of d 3rd & 4th farmers= 11,9

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Filed Under: Arithmetical Reasoning
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24 24358

Q:

Afreena walks 8 km towards East and then walks 13 km back, then she turns left and walks 4 km; then walks 5 km after turning left; she turns left again and walks 3 km. How far is she from the starting point ?

A) 3 km	B) 2 km
C) 1 km	D) 6 km

Answer & Explanation Answer: C) 1 km

Explanation:

download_(1)1491459526.png image

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Filed Under: Direction Sense Test
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75 24198

Q:

Rahul went to purchase a Nokia mobile handset, the shopkeeper told him to pay 20% tax if he asked the bill. Rahul manages to get the discount of 5% on the actual saleprice of the mobile and he paid the shopkeeper Rs. 3325 without tax. Besides he manages to avoid to pay 20% tax on the already discounted price, what is the amount of discount that he has gotten?

A) 750	B) 375
C) 875	D) 525

Answer & Explanation Answer: C) 875

Explanation:

CP = 100, SP (with tax) =120

New SP = 100 - 5 = 95

Effective discount = 120 - 95 = 25

So, at SP of 95 ----> discount = 25

and at SP of 3325 -----> discount = $\frac{25}{95} \times 3325 = 875$

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Filed Under: Profit and Loss
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54 24169

Q:

Which of the following statement(s)is/are TRUE?

I. 2√3 > 3√2

II. 4√2 > 2√8

A) Only I	B) Only II
C) Neither I nor II	D) Both I and II

Answer & Explanation Answer: C) Neither I nor II

Explanation:

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Filed Under: Statement and Conclusions
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0 24120

Q:

What is the oxidation number of sulfur in H2S?

A) 2	B) -2
C) 1	D) -1

Answer & Explanation Answer: B) -2

Explanation:

The sum of the oxidation numbers in a compound must equal zero. In the compound hydrogen sulfide, H2S, the two hydrogen atoms have an oxidation number of +1, for a total of +2.

What_is_the_oxidation_number_of_sulfur_in_H2S1556279499.jpg image

Therefore, the oxidation number of sulfur in the compound is -2, and the sum of the oxidation numbers is 0.

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Filed Under: Chemistry
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31 24117

Q:

What time will it be 18 hours from now in India, if in the USA it is 4:15 AM?

(Hint : IST = US + 9:30 hrs)

A) 1:45 in the afternoon	B) 7:45 in the evening
C) 7:45 in the next morning	D) 1:45 in the next morning

Answer & Explanation Answer: C) 7:45 in the next morning

Explanation:

We know that the time difference between India and USA is 9 hrs 30 min.

India is 9:30 hrs ahead of USA.

Time in India = 4:15 + 9:30 = 13:45 PM.

Required Time after 18 hrs = 13:45 + 18 hrs = 7:45 AM.

Hence it is 7:45 AM on the next morning.

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Filed Under: Clocks
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20 24094

Q:

Markup tags tell the web browser

A) How to display the file	B) How to organise the page
C) How to display message box on page	D) None of the above

Answer & Explanation Answer: A) How to display the file

Explanation:

Markup tags tell the web browser how to display the file.

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Filed Under: Computer
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34 23994

Q:

Three persons A, B and C are standing in a queue. There are five persons between A and B and eight persons between B and C. If there be three persons ahead of C and 21 persons behind A, what could be the minimum number of persons in the queue?

A) 41	B) 40
C) 28	D) 27

Answer & Explanation Answer: C) 28

Explanation:

Three persons A, B, C can be arranged in a queue in six different ways, ie ABC, CBA, BAC, CAB, BCA, ACB. But since there are only 3 persons ahead of C, so C should be in front of the queue. Thus, there are only two possible arrangements, ie CBA and CAB.

We may consider the two cases as under:

Case I: $\overset{3}{\leftarrow} C \overset{8}{\leftrightarrow} B \overset{5}{\leftrightarrow} A \overset{21}{\to}$

Clearly, number of persons in the queue = (3+1+8+1+5+1+21=) 40

Case II: $\overset{3}{\leftarrow} C A \overset{5}{\leftrightarrow} B$

Number of persons between A and C

= (8 - 6) = 2

$∵ [C \overset{8}{\leftrightarrow} B A \overset{21}{\to} B]$

Clearly number of persons in the queue = (3+1+2+1+21) = 28

Now, 28 < 40. So, 28 is the minimum number of persons in the queue.

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Filed Under: Number, Ranking and Time Sequence Test
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168 23979

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