CAT Questions

Q:

A man went downstream for 28 km in a motor boat and immediately returned. It took the man twice as long to make the return trip. If the speed of the river flow were twice as high, the trip downstream and back would take 672 minutes. Find the speed of the boat in still water and the speed of the river flow.

A) 12 km/hr, 3 km/hr B) 9 km/hr, 3 km/hr
C) 8 km/hr, 2 km/hr D) 9 km/hr, 6 km/hr
 
Answer & Explanation Answer: B) 9 km/hr, 3 km/hr

Explanation:

Let the speed of the boat = p kmph

Let the speed of the river flow = q kmph

From the given data,

2 x 28p + q = 28p - q

 

=> 56p - 56q -28p - 28q = 0

=> 28p = 84q

=> p = 3q.

Now, given that if

283q + 2q + 283q - 2q = 67260=> 285q + 28q = 67260=> q = 3 kmph=> x  =3q = 9 kmph

 

Hence, the speed of the boat = p kmph = 9 kmph and the speed of the river flow = q kmph = 3 kmph.

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Filed Under: Boats and Streams
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80 29412
Q:

A sum of money becomes 7/6 of itself in 3 years at a certain rate of simple interest. The rate per annum is ?

A) 45/7 % B) 50/9 %
C) 51/7 % D) 47/ 9 %
 
Answer & Explanation Answer: B) 50/9 %

Explanation:

Let sum = S. Then, amount = 7S/6

S.I. = 7S/6 - S = S/6; Time = 3 years.

Rate = (100 x S) / (S x 6 x 3) = 5 5/9 = 50/9 %.

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Filed Under: Simple Interest
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27 29332
Q:

'A' sold an article to 'B' at a profit of 20%. 'B' sold the same article to 'C' at a loss of 25% and 'C' sold the same article to 'D' at a profit of 40%. If 'D' paid Rs 252 for the article, then find how much did 'A' pay for it?

A) Rs.196 B) Rs.210
C) Rs.200 D) Rs.235
 
Answer & Explanation Answer: C) Rs.200

Explanation:

Let the article costs 'X' to A
Cost price of B = 1.2X
Cost price of C = 0.75(1.2X) = 0.9X
Cost price of D = 1.4(0.9X) = 1.26X = 252
Amount paid by A for the article = Rs. 200.

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Filed Under: Profit and Loss
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47 29296
Q:

ABC$+#DEF&=?GHI!2*@

Find the missing term using the above sequence:

ABC : @*2 :: $#E : ____

 

A) HH! B) !HG
C) ?H! D) !H?
 
Answer & Explanation Answer: D) !H?

Explanation:
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Filed Under: Alphabet Test
Exam Prep: AIEEE , Bank Exams , CAT

0 29050
Q:

If today is Saturday, what will be the day 350 days from now  ?

A) Saturday B) Friday
C) Sunday D) Monday
 
Answer & Explanation Answer: A) Saturday

Explanation:

350 days = (350/7=50 weeks) i.e  No odd days,

 So it will be a Saturday.

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Filed Under: Calendar
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93 28871
Q:

5 C in an OF?

A) 5 Cards in an Old Fan B) 5 Circles in an Olympic Flag
C) 5 Colors in an Old Football D) 5 Colors in an Old Flag
 
Answer & Explanation Answer: B) 5 Circles in an Olympic Flag

Explanation:

5 C in an OF denotes 5 Circles in an Olympic Flag.

These are riddles of type

12 S of the Z

52 W in a Y.

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192 28841
Q:

Which figure completes the series?

 

Question Figures ::                    Answer Figures ::

101558010123.png image

   A      B      C       D          E            1     2      3        4       5

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

Explanation:

The pattern followed in the given figures is

 

 

 

One, two, three, one, two, three.....arcs get inverted sequentially. This inversion takes place in an Anti Clock Wise direction.

 

 

 

 

 

 

 

Hence, figure 1) will come in the next to complete the series.

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Filed Under: Pattern Completion
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19 28832
Q:

The word Gotra occurs for the first time in

A) Rigveda B) Samaveda
C) Yajurveda D) Atharvaveda
 
Answer & Explanation Answer: A) Rigveda

Explanation:

The word Gotra occurs for the first time in Rigveda. In Hindu society, the term gotra is commonly considered to be equivalent to a clan. It broadly refers to people who are descendants in an unbroken male line from a common male ancestor or patriline.

Generally, the gotra forms an exogamous unit, with the marriage within the same gotra being prohibited by custom, being regarded as incest.

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Filed Under: Indian History
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71 28820