CAT Questions

Q:

A Committee of 5 persons is to be formed from a group of 6 gentlemen and 4 ladies. In how many ways can this be done if the committee is to be included atleast one lady?

A) 123 B) 113
C) 246 D) 945
 
Answer & Explanation Answer: C) 246

Explanation:

A Committee of 5 persons is to be formed from 6 gentlemen and 4 ladies by taking. 

 

(i) 1 lady out of 4 and 4 gentlemen out of 6 

(ii) 2 ladies out of 4 and 3 gentlemen out of 6 

(iii) 3 ladies out of 4 and 2 gentlemen out of 6 

(iv) 4 ladies out of 4 and 1 gentlemen out of 6 

 

In case I the number of ways = C14×C46 = 4 x 15 = 60 

In case II the number of ways = C24×C36 = 6 x 20 = 120 

In case III the number of ways = C34×C26 = 4 x 15 = 60

In case IV the number of ways = C44×C16 = 1 x 6 = 6 

 

Hence, the required number of ways = 60 + 120 + 60 + 6 = 246

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Filed Under: Permutations and Combinations
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Q:

Ayurveda Owes its Origin to

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

Explanation:

Ayurveda Owes its Origin to Atharvaveda.

 

The early history of ayurveda asserts that around 1500 BC, ayurveda's fundamental and applied principles got organised and enunciated. In this historical construction, Ayurveda traces its origins to the Vedas, Atharvaveda in particular, and is connected to Hindu religion. Atharvaveda (one of the four most ancient books of Indian knowledge, wisdom and culture) contains 114 hymns or formulations for the treatment of diseases. Ayurveda originated in and developed from these hymns. In this sense, ayurveda is considered by some to have divine origin. Indian medicine has a long history, and is one of the oldest organised systems of medicine. Its earliest concepts are set out in the sacred writings called the Vedas, especially in the metrical passages of the Atharvaveda.

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Filed Under: Indian History
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31 12403
Q:

Water flows into a tank which is 200 m long and 150 m wide, through a pipe of cross-section (0.3m x 0.2m) at 20 km/h. In what time will the water level be 12m  ?

A) 200 hrs B) 240 hrs
C) 300 hrs D) 270 hrs
 
Answer & Explanation Answer: C) 300 hrs

Explanation:

Volume of water collected in the tank in 1 hour

⇒ (0.3 × 0.2 × 20km × 1000mts) = 1200 m cubic

If after t hours, the water is at height of 12m,

1200t=200×150×12 

⇒ t = 300 Hours.

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Filed Under: Pipes and Cistern
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25 12396
Q:

In a row of boys, Haran is eleventh from the left and manoj is seventeenth form the right. When they exchange their places than Haran will be thirteenth from the left. Which of the following will be the new position of Manoj from the right ?

A) 11 B) 19
C) 13 D) 17
 
Answer & Explanation Answer: B) 19

Explanation:

exp.

Here total number of boys in the row = 11 + 19 = 13 + 17 = 30

Here after exchanging the places of Haran & Manoj 

=> Manoj replaces Harans place of 11th from left 

But in the question he asked Manoj's place from right = 30 - 11 = 19th place.

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31 12388
Q:

A report generator is used to

A) print files on paper B) data entry
C) update files D) All the above
 
Answer & Explanation Answer: A) print files on paper

Explanation:

A report generator is a computer program whose purpose is to take data from a source such as a database, XML stream or a spreadsheet, and use it to produce a document in a format which satisfies a particular human readership.

 

Hence, A report generator is used to print files on paper.

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11 12342
Q:

Pen is to poet as needle is to

A) Sewing B) Thread
C) Tailor D) Button
 
Answer & Explanation Answer: C) Tailor

Explanation:

Here Pen is a tool which is used to write and poet uses it. Then, the needle is a tool which is used to stitch and it is used by Tailor. Except tailor, none of the other options is a person to use it.

 

Hence, Pen : Poet :: Needle : Tailor

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Filed Under: Analogy
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8 12339
Q:

How many meaningful English words can be formed with the letters LGEU using each letter only once in each word ?

A) Zero B) One
C) Two D) Four
 
Answer & Explanation Answer: B) One

Explanation:

'GLUE' is the only meaningful word that can be formed using the letters given.

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Filed Under: Alphabet Test
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Q:

Blotting paper absorbs ink due to

A) Capillary action phenomenon B) Diffusion of ink through the blotting
C) Siphon action D) Viscosity of ink
 
Answer & Explanation Answer: A) Capillary action phenomenon

Explanation:

Blotting paper absorbs ink by the process of capillary action. The capillary action is based on the property of surface tension of liquid.

 

All unsized paper will absorb water. Blotting paper is not sized and made bulkier to provide capillary action for faster absorption of liquid.

 

Blotting paper has also been sold as a cosmetic to aid in the removal of skin oils and makeup.

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Filed Under: Physics
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