16. Fill in the missing number in the series.
    2    3    6    15 _?_ 157.5    630

1. 1. 	2nd number	is in increasing order as shown above
      	1st number

   
   
   

   2. 	2nd number	is in decreasing order as shown above
      	1st number

   
   
   

   3. 	1st number	is in increasing order as shown above
      	2nd number

   
   
   

   4. None of these

   
   
   

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1. View Hint View Answer Discuss in Forum

   
   

   	2nd number	is in increasing order as shown above
   	1st number

   Correct Option: A

   
   

   	2nd number	is in increasing order as shown above
   	1st number

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17. A regular die has six sides with numbers 1 to 6 marked on its sides. If a very large number of throws show the following frequencies of occurrence:
    1→ 0, 167; 2 → 0, 167; 3 → 0, 152; 4 → 0,166; 5 → 0,168; 6 → 0, 180. We call this die
    

1. 1. irregular
      

   
   
   

   2. biased
      

   
   
   

   3. Gaussian
      

   
   
   

   4. insufficient
      

   
   
   

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1. View Hint View Answer Discuss in Forum

   For a very large number of throws, the frequency should be same for unbiased throw. As it not same, then the die is baised.
   

   Correct Option: B

   For a very large number of throws, the frequency should be same for unbiased throw. As it not same, then the die is baised.
   

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18. A train that is 280 metres long, travelling at a uniform speed, crosses a platform in 60 seconds and passes a man standing on the platform in 20 seconds. What is the length of the platform in metres?
    

1. 1. 406

   
   
   

   2. 442

   
   
   

   3. 676

   
   
   

   4. 560

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the length of platform = x m
   and train length = 280 m (given)
   According to Question
   

   	x + 280	=	280
   	60		20

   
   ∴ x = 560 m.

   Correct Option: D

   Let the length of platform = x m
   and train length = 280 m (given)
   According to Question
   

   	x + 280	=	280
   	60		20

   
   ∴ x = 560 m.

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19. You are given three coins: one has heads on both faces, the second has tails on both faces, and the third has a head on one face and a tail on the other. You choose a coin at random and toss it, and it comes up heads. The probability that the other face is tails is
    

1. 1. 1

      4

      
      

   
   
   

   2. 1

      3

      
      

   
   
   

   3. 1

      2

      
      

   
   
   

   4. 2

      3

   
   
   

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1. View Hint View Answer Discuss in Forum

   The probability that the other face is tail is	1	.
   	3

   Correct Option: B

   The probability that the other face is tail is	1	.
   	3

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20. For submitting tax returns, all resident males with annual income below Rs 10 lakh should fill up Form P and all resident females with income below Rs 8 lakh should fill up Form Q. All people with incomes above Rs 10 lakh should fill up Form R, except non residents with income above Rs 15 lakhs, who should fill up Form S. All others should fill Form T. An example of a person who should fill Form T is
    

1. 1. a resident male with annual income Rs. 9 lakh
      

   
   
   

   2. a resident female with annual income Rs. 9 lakh
      

   
   
   

   3. a non-resident male with annual income Rs. 16 lakh
      

   
   
   

   4. a non-resident female with annual income Rs 16 lakh

   
   
   

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1. View Hint View Answer Discuss in Forum

   By reading the instructions, it is clear that person who fills form T is a resident female with annual income of ₹ 9 Lakh.
   

   Correct Option: B

   By reading the instructions, it is clear that person who fills form T is a resident female with annual income of ₹ 9 Lakh.
   

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