CAT Questions

Q:

An alloy contains gold and silver in the ratio 5 : 8 and another alloy contains gold and silver in the ratio 5 : 3. If equal amount of both the alloys are melted together, then the ratio of gold and silver in the resulting alloy is ?

 

A) 113/108 B) 105/103
C) 108/115 D) 103/113
 
Answer & Explanation Answer: B) 105/103

Explanation:

As given equal amounts of alloys are melted, let it be 1 kg.

Required ratio of gold and silver = 513 + 58813 + 38 = 105103.

 

Hence, ratio of gold and silver in the resulting alloy = 105/103.

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Filed Under: Alligation or Mixture
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15 8569
Q:

What symbol is used to enter number as text?

A) = B) "
C) ' D) _
 
Answer & Explanation Answer: C) '

Explanation:

Apostrophe(‘) symbol is used before a number to make it a text or label.

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26 8565
Q:

The opposite of right is the opposite of

A) Left B) Wrong
C) Give D) Take
 
Answer & Explanation Answer: D) Take

Explanation:

The opposite of right is left. The opposite of left is take. And the opposite of take is give.

 

Hence, the opposite of right is the opposite of take which is left.

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34 8563
Q:

A rectangular grassy plot 120 m. by 60 m has a gravel path 1.5 m wide all round it on the inside. Find the cost of gravelling the path at 65 paise per sq. metre ?

A) Rs. 345.15 B) Rs. 245.1
C) Rs. 234.18 D) Rs. 456.65
 
Answer & Explanation Answer: A) Rs. 345.15

Explanation:

area of the plot = 120m x 60m = 7200 sq.m
area of plot excluding gravel = 117m x 57m = 6669 sq.m
area of gravel = 7200 sq.m - 6669 sq.m = 531 sq.m
cost of building it = 531 sq.m x 65 ps = 34515 ps
In Rs. = 34515/100 = Rs. 345.15.

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4 8562
Q:

Which bond has the greatest ionic character?

A) H-F B) H-Cl
C) H-N D) H-O
 
Answer & Explanation Answer: A) H-F

Explanation:

Ionic character depends on the electronegativity difference between the bonding elements. The greatest the elctronegativity diffference the greatest the ionic character.

Here in the given options, H-F has has the greatest ionic character. The electronegativity of Hydrogen is 2.1 and that of Fluorine is 4. Now the electronegativity difference is 4 - 2.1 = 1.9.

 

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8 8562
Q:

Find the odd one out of the group ?

A) 708 B) 392
C) 618 D) 816
 
Answer & Explanation Answer: B) 392

Explanation:

The sum of the digits in 708, 618 and 816 is 15, but not in 392.

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8 8555
Q:

A ball is thrown vertically upward from the ground. It crosses a point at the height of 25 m twice at an interval of 4 seconds. The ball was thrown with the velocity of

A) 18 m/s B) 25 m/s
C) 30 m/s D) 36 m/s
 
Answer & Explanation Answer: C) 30 m/s

Explanation:

The interval between object pass the same point is 4 sec.

That means in 2 sec, object reaches the top and in next 2 sec, it again reaches the same point.

By the info given, we can find the velocity of that point by using : v=u+(-gt)

0= u - 10×2

u = 20

Then the velocity at 25m is 20m/sec.

so the initial velocity is


-v2 = u2 + (-2gh)400 = u2 - 2x 10 x 25u2 = 900 => u = 30 m/s

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8 8553
Q:

14 persons are seated around a circular table. Find the probability that 3 particular persons always seated together.

A) 11/379 B) 21/628
C) 24/625 D) 26/247
 
Answer & Explanation Answer: C) 24/625

Explanation:

Total no of ways = (14 – 1)! = 13!

Number of favorable ways = (12 – 1)! = 11!

 

So, required probability = 11!×3!13! = 39916800×66227020800 = 24625

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Filed Under: Probability
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22 8550