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Q:

How many more words can be formed by using the letters of the given word 'CREATIVITY'?

A) 851250 B) 751210
C) 362880 D) 907200
 
Answer & Explanation Answer: D) 907200

Explanation:

The number of letters in the given word CREATIVITY = 10

 

Here T & I letters are repeated

 

=> Number of Words that can be formed from CREATIVITY = 10!/2!x2! = 3628800/4 = 907200

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Filed Under: Permutations and Combinations
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Q:

A person starting with 64 rupees and making 6 bets, wins three times and loses three times, the wins and loses occurring in random order. The chance for a win is equal to the chance for a loss. If each wager is for half the money remaining at the time of the bet, then the final result is:

A) A gain of Rs. 27 B) A loss of Rs. 37
C) A loss of Rs. 27 D) A gain of Rs. 37
 
Answer & Explanation Answer: B) A loss of Rs. 37

Explanation:

As the win leads to multiplying the amount by 1.5 and loss leads to multiplying the amount by 0.5, we will multiply the initial amount by 1.5 thrice and by 0.5 thrice (in any order).

The overall resultant will remain same.

So final amount with the person will be (in all cases):

= 64(1.5)(1.5)(1.5)(0.5)(0.5)(0.5)= Rs. 27

Hence the final result is: 

64 − 27 = 37

A loss of Rs.37

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Filed Under: Probability
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Q:

The milk and water in two vessels A and B are in the ratio 4:3 and 2:3 respectively. In what ratio the liquids in both the vessels be mixed to obtain a new mixture in vessel c consisting half milk and half water?

A) 8:3 B) 6:7
C) 7:5 D) 11:7
 
Answer & Explanation Answer: C) 7:5

Explanation:

Milk in 1-litre mixture of A = 4/7 litre. 

Milk in 1-litre mixture of B = 2/5 litre. 

Milk in 1-litre mixture of C = 1/2 litre.

 

By rule of alligation we have required ratio X:Y   

   X                  :                 Y  

  4/7                                2/5  

           \                      /

              (Mean ratio)
                   (1/2) 

           /                      \

 (1/2 – 2/5)     :       (4/7 – 1/2)  

    1/10                      1/1 4 

 

So Required ratio = X : Y = 1/10 : 1/14 = 7:5

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Filed Under: Alligation or Mixture
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Q:

Who among the following introduced the subsidiary alliance system in India?

A) Lord Cunningham B) Lord Cliv
C) Lord Wellesley D) Lord Canning
 
Answer & Explanation Answer: C) Lord Wellesley

Explanation:

The doctrine of the subsidiary alliance was introduced by Lord Wellesley, British Governor-General of India from 1798 to 1805.

The Nizam of Hyderabad was the first to enter into such an alliance in 1798. Tipu Sultan of Mysore refused to do so, but after the British victory in the Fourth Anglo-Mysore War, Mysore was forced to become a subsidiary state in 1799.

The Nawab of Awadh was the next to accept the Subsidiary Alliance, in 1801.

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Filed Under: Indian History
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Q:

Directions:

A string of words is fed into a computing machine. It processes the input and gives an output in the following manner:

Input: Honesty is the best policy.

Step 1: is Honesty the best policy

Step 2: is the Honesty best policy

Step 3: is the best Honesty policy

Step 4: is the best policy Honesty

Output: is the best policy Honesty

Now,

If the input is "A rolling stone gathers no moss", what will be the fifth word in the string after 4 steps?

A) Moss B) No
C) Stone D) A
 
Answer & Explanation Answer: D) A

Explanation:

For the input "A rolling stone gathers no moss", the steps followed are:

Step 1: rolling A stone gathers no moss

Step 2: rolling stone A gathers no moss

Step 3: rolling stone gathers A no moss

Step 4: rolling stone gathers no A moss

 

After 4 steps the fifth word is "A".

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Filed Under: Logic
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Q:

Which of the following animals have teeth in their stomach?

A) Frogs B) Crabs
C) Snakes D) Cockroach
 
Answer & Explanation Answer: B) Crabs

Explanation:
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Filed Under: General Science
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Q:

In one hour, a boat goes 12 km/hr along the stream and 6 km/hr against the stream. The speed of the boat in still water (in km/hr) is:

A) 9 B) 8
C) 7 D) 7.5
 
Answer & Explanation Answer: A) 9

Explanation:

Speed in still water = Average of Speed in Upstream and speed in Downstream

= 1/2 (12 + 6) kmph = 9 kmph.

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Filed Under: Boats and Streams
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Q:

If HAT is coded as 'jcv' then what will GUN be coded as?

 

A) iwp B) IKM
C) kip D) Klp
 
Answer & Explanation Answer: A) iwp

Explanation:

Here HAT is coded as jcv

=> Leaving a letter in between i.e, after H leave i write j in small letters

In the same way, A => c, T => v

Similarly for GUN => iwp 

 

 

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Filed Under: Coding and Decoding
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