CAT Questions

Q:

The sides of a right-angled triangle are 12 cm, 16 cm, 20 cm respectively. A new right angle Δ is made by joining the midpoints of all the sides. This process continues for infinite then calculate the sum of the areas of all the triangles so made.

A) 312 sq.cm B) 128 sq.cm
C) 412 sq.cm D) 246 sq.cm
 
Answer & Explanation Answer: B) 128 sq.cm

Explanation:

Area =   SSC Quiz : Quantitative Aptitude | 06 - 01 - 18 = 96

 

Sum of Area =  SSC Quiz : Quantitative Aptitude | 06 - 01 - 18

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Filed Under: Area
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21 7328
Q:

Rupee : Indian :: Yen : ?

A) Pakistan B) Turkey
C) Japan D) Bangladesh
 
Answer & Explanation Answer: C) Japan

Explanation:

The rupee is the currency of India. Similarly, Yen is the currency of Japan.

 

Hence, Rupee : Indian :: Yen : Japan.

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Filed Under: Analogy
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5 7319
Q:

Quality of transmission depends upon

A) Nature of signal only B) Nature of medium only
C) Both (A) and (B) D) Neither A nor B
 
Answer & Explanation Answer: C) Both (A) and (B)

Explanation:

Quality of transmission is governed both by nature of signal and nature of communication channel/medium.

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Filed Under: Physics
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18 7318
Q:

Out of three numbers, the first is twice the second and is half of the third. If the average of the three numbers is 56, what will be the sum of the highest number and the lowest number?

A) 120 B) 160
C) 80 D) 60
 
Answer & Explanation Answer: A) 120

Explanation:

Let the three numbers be x, y, z.

From the gien data,

x = 2y ....(1)

x = z/2 => z = 2(2y) = 4y .....(From 1)  ...........(2)

Given average of three numbers = 56

Then,

 

x + y + z3 = 562y + y + 4y3 = 56  (From 1 & 2)7y = 56 x 3y = 24

Now,

x = 2y => x = 2 x 24 = 48

z = 4y = 4 x 24 = 96

 

Now, the highest number is z = 96 & smallest number is y = 24

 

Hence, required sum of highest number and smallest number

= z + y

= 96 + 24

= 120.

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Filed Under: Average
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15 7313
Q:

For xN, x>1,  and  p=logxx+1q=logx+1x+2 then which one of the following is correct?

A) p < q B) p = q
C) p > q D) can't be determined
 
Answer & Explanation Answer: C) p > q

Explanation:

kl>k+1l+1 for (k,l) > 0 and  k > l 

 

 

 

Let     k = x+1    and   l = x

 

 

 

Therefore, x+1x>(x+1)+1(x)+1

 

 

 

 (x + 1) > x

 

 

 

Therefore, log(x+1)log(x)>log(x+2)log(x+1)

 

 

 

logxx+1 >logx+1x+2

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Filed Under: Logarithms
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33 7297
Q:

The output quality of a printer is measured by

A) Dots per line B) Dots printed per unit time
C) Dots per inch D) All of the above
 
Answer & Explanation Answer: C) Dots per inch

Explanation:

DPI [Dots Per Inch] is a measurement of output quality of printer resolution. It represents number of ink dots the printer can place in an area of one square inch. The lesser the DPI the less sharper the image and vice versa.

 

Therefore, a printer that may have 400 DPI, a printer that can print 400 x 400 per square inch or 1,60,000 dots per inch.

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Filed Under: Computer
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6 7294
Q:

Who of the following threw a bomb in the Central Legislative Assembly along with Bhagat Singh ?

A) B.K. Dutt B) Sukhdev
C) Jatin Das D) Rajguru
 
Answer & Explanation Answer: A) B.K. Dutt

Explanation:

Bhagat Singh and B.K. Dutt threw bombs in the Legislative Assembly as a protest against "Passage of public Safety bill".

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Filed Under: Indian Politics
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23 7287
Q:

Order of basicity of amines in gaseous state?

A) 2'> 1'> 3' > NH3 B) 3' > 2' > 1'> NH3
C) 1' > 2' > 3'> NH3 D) 2'> 3'> 1' > NH3
 
Answer & Explanation Answer: B) 3' > 2' > 1'> NH3

Explanation:

The order of basicity in ammonia is different in gaseous phases vs. aqueous phases due to hydrogen bonding.

 

So in gaseous phases it's the well known: 3' > 2' > 1'> NH3. Just so we're on the same page, this is due to the inductive effect of electron donating alkyl groups--they destabilize the lone pair on nitrogen atom, making nitrogen more basic.

 

But in aqueous phase, the order is slightly different: 2'> 1'> 3' > NH3.

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Filed Under: Chemistry
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6 7281