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CAT Questions

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Q:

Three of the following four are alike in a certain way and hence form a group. Which is the one that does not belong to that group?

A) 42 B) 72
C) 110 D) 152
 
Answer & Explanation Answer: D) 152

Explanation:

42 = 72 - 7

 92 - 9 = 72

 112 - 11 = 110

 122 + 8 = 152

Except 152, others show the same trend.

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20 5799
Q:

A and B can do a piece of work for Rs 1540. Find the difference between the wages of C and B for the same work If A can do the work in 12 days and B can do the same work in 8 days and with the help of C, A and B can do the same work in 2 days?

A) 980 B) 1232
C) 810 D) 1121
 
Answer & Explanation Answer: B) 1232

Explanation:

From the given data,


                       Day      Capacity

A              ->    12          2

B              ->     8           3             2

A + B + C ->     2            12

=> Capacity of C = 12 - 5 = 7

Ratio of capacity of A : B : C = 2 : 3 : 7

Difference of wages of C & B = 4/5 x 1540

= 4 x 308 = Rs. 1232

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13 5799
Q:

Telengana creation as in independent state is primarily the outcome of _____ ?

A) 16th Lok Sabha B) 15th Lok Sabha
C) 14th Lok Sabha D) 13 Lok Sabha
 
Answer & Explanation Answer: B) 15th Lok Sabha

Explanation:
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13 5798
Q:

Which combination will produce a precipitate?

A) NaOH (aq) and HCl (aq) B) KOH (aq) and Mg(NO3)2 (aq)
C) NaC2H3O2(aq) and HCl (aq) D) AgNO3(aq) and Ca(C2H2O3) (aq)
 
Answer & Explanation Answer: B) KOH (aq) and Mg(NO3)2 (aq)

Explanation:

In chemistry, a precipitate is an insoluble solid that emerges from a liquid solution. The emergence of the insoluble solid from solution is called precipitation.

Which_combination_will_produce_a_precipitate1558607544.jpg image

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Filed Under: Chemistry
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5 5792
Q:

In how many ways the letters of the word NUMERICAL can be arranged so that the consonants always occupy the even places ?

A) 5! B) 6!
C) 4! D) Can't determine
 
Answer & Explanation Answer: D) Can't determine

Explanation:

NUMERICAL has 9 positions in which 2, 4, 6, 8 are even positions.

And it contains 5 consonents i.e, N, M, R, C & L. Hence this cannot be done as 5 letters cannot be placed in 4 positions.

Therefore, Can't be determined.

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Filed Under: Permutations and Combinations
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6 5791
Q:

A bill presented in Parliament becomes an Act after -

A) The Prime Minister has signed it B) The Supreme Court has declared it to be within the competence of the Union Parliament
C) The President has given her/his assent D) It is passed by both the Houses
 
Answer & Explanation Answer: C) The President has given her/his assent

Explanation:
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11 5786
Q:

Raghu can do a job in 12 days alone and Sam can do the same job in 15 days alone. A third person Aru whose efficiency is two-third of efficiency of both Ram and Shyam together, can do the same job in how many days alone?

A) 10 B) 12
C) 13 D) 15
 
Answer & Explanation Answer: A) 10

Explanation:

One day work of Raghu and Sam together = 1/12 + 1/15 = 9/60 = 3/20

Aru efficiency = 2/3 of (Raghu + Sam)

Number of days required for Aru to do thw work alone = 3/2 x 20/3 = 10 days. 

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9 5786
Q:

Nine different letters of alphabet are given, words with 5 letters are formed from these given letters. Then, how many such words can be formed which have at least one letter repeated ?

A) 43929 B) 59049
C) 15120 D) 0
 
Answer & Explanation Answer: A) 43929

Explanation:

Number of words with 5 letters from given 9 alphabets formed = 95

 

Number of words with 5 letters from given 9 alphabets formed such that no letter is repeated is = 9P5

 

Number of words can be formed which have at least one letter repeated =  95 - 9P5

 

= 59049 - 15120

 

= 43929

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11 5786