CAT Questions

Q:

Find the number of triangles in the given figure ?

                       analyticalreasoning81484544890.png image

A) 21 B) 15
C) 18 D) 20
 
Answer & Explanation Answer: A) 21

Explanation:

analyticalreasoning8answer121484544955.png image

The simplest triangles are AKI, AIL, EKD, LFB, DJC, DKJ, KIJ, ILJ, JLB, BJC, DHC and BCG i.e. 12 in number.
The triangles composed of two components each are AKJ, ALJ, AKL, ADJ, AJB and DBC i.e. 6 in number.
The triangles composed of the three components each are ADC and ABC i.e. 2 in number.
There is only one triangle i.e. ADB composed of four components.
Thus, there are 12 + 6 + 2 + 1 = 21 triangles in the figure.

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Filed Under: Analytical Reasoning
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49 17851
Q:

Which of the following foods does not support bacterial growth?

A) Raw carrots B) Sauted onions
C) Refried beans D) Cooked rice
 
Answer & Explanation Answer: A) Raw carrots

Explanation:

Cooked food create an enabling environment for bacteria to grow because of their moisture content & of the normal temperature of the food. 

raw_food_vs_cooked_food1591419246.png image

Raw food does not offer suitable conditions for bacteria growth. 

 

Hence, from the given options raw carrots does not support bacterial growth.

 

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Filed Under: General Science
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18 17833
Q:

Karan started a business investing Rs 29000. After five months, Satish joined with a capital of Rs 18000. If at the end of the year, they earn a profit of Rs. 16970, then what will be the share of Satish in the profit ?

A) Rs. 5422 B) Rs. 5489
C) Rs. 4511 D) Rs. 6145
 
Answer & Explanation Answer: C) Rs. 4511

Explanation:

Now as per question, Karan invested for 12 months and Satish invested for 7 months.

So, Karan:Satish = (29000 x 12):(18000 x 7)

= 348:126

= 58:21

 

Satish Ratio in profit will be= 16970×2179 = Rs. 4511

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Filed Under: Partnership
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13 17825
Q:

3 : 12 :: 5 : ?

A) 17 B) 30
C) 26 D) 32
 
Answer & Explanation Answer: B) 30

Explanation:

332 + 3 = 12552 + 5 = 30

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Filed Under: Ratios and Proportions
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75 17776
Q:

Smallest gulf in the world is

A) Gulf of Mexico B) Persian Gulf
C) Gulf of Oman D) Gulf of California
 
Answer & Explanation Answer: D) Gulf of California

Explanation:

A gulf in geography is a large bay that is an arm of an ocean or sea.

 

The second smallest sea on Earth is the Sea of Cortez, more commonly called the Gulf of California. This sea is about 62,000 square miles. It lies between Mexico and the Baja California Peninsula.

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Filed Under: World Geography
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28 17731
Q:

NH3 oxidation number?

A) -1 B) +1
C) 0 D) -3
 
Answer & Explanation Answer: C) 0

Explanation:

NH3, Ammonia is a neutral compound as the individual oxidation numbers elements that make up the compound NH3 are Nitrogen (N) and Hydrogen (H) sum to zero. 

We do not speak of the oxidation number of a molecule. We can speak of the oxidation numbers of the individual elements that make up the compound.

 

Here the oxidation number of Nirogen is -3 and that of Hydrogen is +1.

Now, NH3 = 1(-3) + 3(+1) = -3 + 3 = 0.

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Filed Under: Chemistry
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31 17700
Q:

If the third day of a month is Tuesday, which of the following would be the 4th day before the 27th day of that month?

A) Tuesday B) Monday
C) Wednesday D) Sunday
 
Answer & Explanation Answer: B) Monday

Explanation:

Dates on which Tuesday fall are 3,10,17, and 24

 

Hence, the 27th day of the month will be (Tuesday + 3 days=)Friday

 

Required day of the month = Friday - 4 = Monday

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41 17682
Q:

Milk and water are mixed in a vessel A as 4:1 and in vessel B as 3:2. For vessel C, if one takes equal quantities from A and B, find the ratio of milk to water in C.

A) 1:9 B) 9:1
C) 3:7 D) 7:3
 
Answer & Explanation Answer: D) 7:3

Explanation:

Ratio of Milk and water in a vessel A is 4 : 1

 

Ratio of Milk and water in a vessel B is 3 : 2

 

Ratio of only milk in vessel A = 4 : 5

 

Ratio of only milk in vessel B = 3 : 5

 

Let 'x' be the quantity of milk in vessel C

 

Now as equal quantities are taken out from both vessels A & B

 

=> 4/5     :     3/5
               x 
  3/5-x          x - 4/5

 

=> 35-xx-45 = 11 (equal quantities)

 

=> x = 7/10

 

Therefore, quantity of milk in vessel C  = 7

 

=> Water quantity = 10 - 7 = 3

 

Hence the ratio of milk & water in vessel 3 is 7 : 3 

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Filed Under: Alligation or Mixture
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33 17674