CAT Questions

Q:

If the first half of the English alphabet is reversed and then next portion of English alphabet is reversed so as 'A' takes the portion of 'M' and 'N' takes the portion of 'z' then which letter will be 6th to the left of 17th letter to the right of 7th leter from the left?

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

Explanation:

6th to the left of 17th letter to the right of 7th letter from the left = 6th to the left of (17+7 =) 24th letter from the left = (24-6 =) 18th letter from the left.

 

Thus, we have to count from the left and we have to find out 18th letter from the left that falls into the second section of English alphabet.

 

Here, both the first half and the second half of the English alphabet have been reversed and we have to count from the left end, then the required letter can be found out using the formula given below. Suppose , the first and the second reversed sections of the English alphabet are α and  βrespectively.Then,

 

  The required letter = 2α+β+1-(required position of letter from left side)

 

Therefore, The required letter = 26 + 13 + 1 - 18 = 22 = V

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Filed Under: Alphabet Test
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161 26815
Q:

The basic operations performed by a computer are

A) Logical operation B) Storage and relative
C) Arithmetic operation D) All the above
 
Answer & Explanation Answer: D) All the above

Explanation:

The_basic_operations_performed_by_a_computer1537941097.png image

The basic operations performed by a computer are Arithmetic operation, Logical operation and Storage and relative.

 

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Filed Under: Computer
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67 26791
Q:

An air bubble in water will act like a

A) convex lens B) convex mirror
C) concave lens D) concave mirror
 
Answer & Explanation Answer: C) concave lens

Explanation:

An_air_bubble_in_water_will_act_like_a1557488532.jpg image

The lens which have atleast one inward curved surface is a concave lens. Concave ens is a diverging lens as it spreads out light rays that have been refracted through it.

A concave lens is thinner at its centre than at its edges.

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Filed Under: Physics
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181 26790
Q:

Find the number of triangles in the given figure ?

                analyticalreasoning1331484546669.png image

A) 5 B) 8
C) 9 D) 10
 
Answer & Explanation Answer: D) 10

Explanation:

The given figure can be labelled as :

   analyticalreasoning13answer121484546728.png image

The simplest triangles are AJF, FBG, HDI, GCH and JEI i.e 5 in number.
The triangles composed of the three components each are AIC, FCE, ADG, EBH and DJB i.e 5 in number.
Thus, there are 5 + 5 = 10 triangles in the given figure.

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Filed Under: Analytical Reasoning
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68 26759
Q:

At what time between 3 and 4 o’clock will the minute hand and the hour hand are on the same straight line but facing opposite directions ?

A) 3:15 2/8 B) 3:49
C) 3:49 1/11 D) 3:51
 
Answer & Explanation Answer: C) 3:49 1/11

Explanation:

On straight line means 180 degree angle.
180 = 11/2 min – 30 hrs
180 = 11/2 m – 30 × 3
180 = 11/2 m – 90
(180 + 90) 2 = 11 m
m = 540/11 = 49 1/11 minutes.

 

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Filed Under: Clocks
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Q:

A and B invests Rs.8000 and Rs.9000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year  ?

A) 21:29 B) 41:54
C) 32:45 D) 37:51
 
Answer & Explanation Answer: C) 32:45

Explanation:

             A              :               B
(8000x4)+(4000x8) : (9000x6)+(6000x6)
         64000           :      90000
=>        32 : 45

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Filed Under: Ratios and Proportions
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28 26720
Q:

What is the full form of GDP

A) Gross domestic product B) Global domestic Ratio
C) Gross depository revenue D) Global depository receipts
 
Answer & Explanation Answer: A) Gross domestic product

Explanation:

GDP full form is Gross domestic product.

 

It is a measurement of a nation’s overall economic activity. 

GDP is the monetary value of all the finished goods and services produced within a country's borders in a specific time period.

 

gdp_full_form_is1536139309.jpg image

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Filed Under: Indian Economy
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56 26682
Q:

A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days  ?

A) 9 days B) 11 days
C) 13 days D) 15 days
 
Answer & Explanation Answer: C) 13 days

Explanation:

Ratio of times taken by A and B = 100 : 130 = 10 : 13.
Suppose B takes x days to do the work.

Then, 10 : 13 :: 23 : x     =>     x = ( 23 x 13/10 )     =>     x = 299 /10.

A's 1 day's work = 1/23 ;
B's 1 day's work = 10/299 .

(A + B)'s 1 day's work = ( 1/23 + 10/299 ) = 23/299 = 113 .

Therefore, A and B together can complete the work in 13 days. 

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Filed Under: Time and Work
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