CAT Questions

Q:

A man is facing north-west. He turns 90o in the clockwise direction, then 180o in the anticlockwise direction and then another 90o in the same direction. Which direction is he facing now?

A) South B) South-west
C) South-east D) East
 
Answer & Explanation Answer: C) South-east

Explanation:

As shown in fig. the man initially faces in the direction OP. On moving 900 clockwise, he faces in the direction OX. On further moving 1800 anticlockwise, he faces in the direction OY. Finally, on moving 900anticlockwise, he faces in the direction OZ, which is South-east.new1497431743.jpg image

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Filed Under: Direction Sense Test
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243 44382
Q:

Choose the missing terms in the given series from the four alternatives given below.

C, E, G, J, M, Q, ?

A) T B) U
C) P D) V
 
Answer & Explanation Answer: B) U

Explanation:

The letters move 2, 2, 3, 3, 4, 4, ... steps forward.

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Filed Under: Number Series
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10 44191
Q:

A man reaches his office 20 min late, if he walks from his home at 3 km per hour and reaches 30 min early if he walks 4 km per hour. How far is his office from his house ?

A) 20 km B) 16 km
C) 14 km D) 10 km
 
Answer & Explanation Answer: D) 10 km

Explanation:

Let distance = x km.
Time taken at 3 kmph : dist/speed = x/3 = 20 min late.
time taken at 4 kmph : x/4 = 30 min earlier
difference between time taken : 30-(-20) = 50 mins = 50/60 hours.
x/3- x/4 = 50/60
x/12 = 5/6
x = 10 km.

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Filed Under: Time and Distance
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57 44094
Q:

What is black when you buy it, red when you use it, and gray when you throw it away?

A) Shoe B) Charcoal
C) Belt D) All the above
 
Answer & Explanation Answer: B) Charcoal

Explanation:

What_is_black_when_you_buy_it,_red_when_you_use_it,_and_gray_when_you_throw_it_away1557491056.jpg image

It is Charcoal which is black when we buy it or when not being used. It gets red in appearance when put in use means to say when burning. And eventually when it's been consumed by fire or after getting burned out or used up, changes into ashes which look grey in color.

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Filed Under: Logic Puzzles
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145 44093
Q:

In the following question, select the related number from the given alternatives.

5 : 124 : : 6 : ?

A) 215 B) 216
C) 217 D) 220
 
Answer & Explanation Answer: A) 215

Explanation:
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Filed Under: Analogy
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0 43742
Q:

A school has four sections A, B, C, D of Class IX students.

1. If the number of students passing an examination be considered a criteria for comparision of difficulty level of two examinations, which of the following statements is true in this context?

A. Half yearly examinations were more difficult.

B. Annual examinations were more difficult.

C. Both the examinations had almost the same difficulty level.

D. The two examinations cannot be compared for difficulty level.

 

2. How many students are there in Class IX in the school?

 A. 336                      B.189                       C. 335                         D. 430

 

3. Which section has the maximum pass percentage in at least one of the two examinations?

  A. A Section            B. B Section            C. C Section               D. D Section

 

4. Which section has the maximum success rate in annual examination?

 A. A Section             B. B Section            C. C Section               D. D Section

 

5. Which section has the minimum failure rate in half yearly examination?

 A. A section             B. B section             C. C section               D. D section

 

Half yearly examinations were more difficult.
If the number of students passing an examination be considered a criteria for comparision of difficulty level of two examinations, which of the following statements is true in this context? - See more at: https://www.theonlinetestcentre.com/table-charts7.html#sthash.slrcbjro.dpuf

Answer

1. ANSWER : C 


 Explanation -  Number of students who passed half-yearly exams in the school 


= (Number of students passed in half-yearly but failed in annual exams) + (Number of students passed in both exams)
= (6 + 17 + 9 + 15) + (64 + 55 + 46 + 76)

= 288.

Also, Number of students who passed annual exams in the school

= (Number of students failed in half-yearly but passed in annual exams) + (Number of students passed in both exams)

= (14 + 12 + 8 + 13) + (64 + 55 + 46 + 76)

= 288.

Since, the number of students passed in half-yearly = the number of students passed in annual exams. Therefore, it can be inferred that both the examinations had almost the same difficulty level.

Thus Statements (a), (b) and (d) are false and Statement (c) is true. 


 


 2. ANSWER : D 


 Explanation -  Since the classification of the students on the basis of their results and sections form independent groups, so the total number of students in the class: 


 = (28 + 23 + 17 + 27 + 14 + 12 + 8 + 13 + 6 + 17 + 9 + 15 + 64 + 55 + 46 + 76)

= 430. 


 


 3. ANSWER : D 


 ExplanationPass percentages in at least one of the two examinations for different sections are:


  For Section A = 14+6+6428+14+6+64×100 = 84112×100% = 75%


 For Section B =12+17+5523+12+17+55×100  % = 78.5%


 For Section C = 8+9+4617+8+9+46×100%= 78.75%


 For Section D = 13+15+7627+13+15+76×100%= 79.39%


  Clearly ,the pass percentage is maximum for Section D 


 


  


 4. ANSWER : A


 Explanation - Total number of students passed in annual exams in a section 


= [ (No. of students failed in half-yearly but passed in annual exams) + (No. of students passed in both exams) ] in that section


 Success rate in annual exams in Section A= 14+64112 × 100% = 69.64%


 Similarly, success rate in annual exams in:


 Section B = 12+55107×100% =  62.62% 


 Section C = 8+4680×100% = 67.5% 


 Section D = 89131×100% = 67.94% 


 Clearly, the success rate in annual examination is maximum for Section A. 


 


  


 5. ANSWER : D 


 Explanation - Total number of failures in half-yearly exams in a section


  = [ (Number of students failed in both exams) + (Number of students failed in half-yearly but passed in Annual exams) ] in that section


 Failure rate in half-yearly exams in Section A %= 37.5 %


 Similarly, failure rate in half-yearly exams in:


  Section B = 32.71%


  Section C = 31.25%


  Section D = 30.53%


  Clearly, the failure rate is minimum for Section D.


 = (Number of students passed in half-yearly but failed in annual exams) + (Number of students passed in both exams)


 = (6 + 17 + 9 + 15) + (64 + 55 + 46 + 76)


 = 288.


 


 Also, Number of students who passed annual exams in the school


 = (Number of students failed in half-yearly but passed in annual exams) + (Number of students passed in both exams)


 = (14 + 12 + 8 + 13) + (64 + 55 + 46 + 76)


 = 288.


 


Since, the number of students passed in half-yearly = the number of students passed in annual exams. Therefore, it can be inferred that both the examinations had almost the same difficulty level.


Thus Statements (a), (b) and (d) are false and Statement (c) is true.

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138 43430
Q:

Arrange the following words in an appropriate order


1. Rainbow   2. Rain   3. Sun    4. Happy    5. Child

A) 4, 2, 3, 5, 1 B) 4, 5, 1, 2, 3
C) 2, 1, 4, 5, 3 D) 2, 3, 1, 5, 4
 
Answer & Explanation Answer: D) 2, 3, 1, 5, 4

Explanation:

Firstly Rain falls and then Sun comes and Rainbow forms. After that Child sees the rainbow and feels Happy.

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Filed Under: Logical Sequence of Words
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30 43337
Q:

Pick an odd man in the given number series?

4 12 38 87 198

A) 12 B) 38
C) 87 D) 198
 
Answer & Explanation Answer: A) 12

Explanation:

The given series follows a pattern that,

 

4 + 32 = 4 + 9 = 1313 + 52 = 13 + 25 = 3838 + 72 = 38 + 49 = 8787 + 92 = 87 + 81 = 198 

 

Hence, the odd man in the given number series is 12.

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Filed Under: Odd Man Out
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