Number System
-  A rational number between 1/2 and 3/5 is :
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                        View Hint View Answer Discuss in Forum Required number = 1 + 3 2 5 2 
 Required number= 5 + 6 = 11 20 20 = 1 + 3 2 5 2 = 5 + 6 = 11 20 20 Correct Option: CRequired number = 1 + 3 2 5 2 = 5 + 6 = 11 20 20 
-  The sum of the first two of three consecutive odd numbers is 33 more than the third number.
 What is the second number ?
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                        View Hint View Answer Discuss in Forum x + x + 2 = x + 4 + 33 
 ⇒ x + 2 = 37Correct Option: Bx + x + 2 = x + 4 + 33 
 ⇒ x + 2 = 37
-  64329 is divided by a certain number, the successive remainders being 175, 114 and 213 respectively. What are the divisor and the quotient respectively ?
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                        View Hint View Answer Discuss in Forum  
 Here, 643 – 175 = 468
 ∴ Divisor = 468 or 234 
 Divisor = 234
 Quotient = 274Correct Option: A 
 Here, 643 – 175 = 468
 ∴ Divisor = 468 or 234 
 Divisor = 234
 Quotient = 274
-  Natu and Buchku each have certain number of oranges. Natu says to Buchku, “If you give me 10 of your oranges, I will have twice the number of oranges left with you”. Buchku replies,“If you give me 10 of your oranges, I will have the same number of oranges as left with you”. What is the number of oranges with Natu and Buchku, respectively ?
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                        View Hint View Answer Discuss in Forum Let the number of oranges with Natu be x. 
 Number of oranges with Buchku = y
 Case I,
 x + 10 = 2 (y – 10)
 ⇒ x + 10 = 2y – 20
 ⇒ 2y – x = 20 + 10 = 30 ..(i)
 Case II,
 y + 10 = x – 10
 ⇒ x – y = 10 + 10 = 20 ... (ii)
 On adding equations (i) and (ii),
 2y – x + x – y = 30 + 20
 ⇒ y = 50
 From equation (ii),
 x – 50 = 20
 ⇒ x = 50 + 20 = 70Correct Option: BLet the number of oranges with Natu be x. 
 Number of oranges with Buchku = y
 Case I,
 x + 10 = 2 (y – 10)
 ⇒ x + 10 = 2y – 20
 ⇒ 2y – x = 20 + 10 = 30 ..(i)
 Case II,
 y + 10 = x – 10
 ⇒ x – y = 10 + 10 = 20 ... (ii)
 On adding equations (i) and (ii),
 2y – x + x – y = 30 + 20
 ⇒ y = 50
 From equation (ii),
 x – 50 = 20
 ⇒ x = 50 + 20 = 70
-  The value of x in the following equation is :
 0.3 + 0.6 + 0.7 + 0.8 = x
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                        View Hint View Answer Discuss in Forum x = 0.3 + 0.6 + 0.7 + 0.8 = 3 + 6 + 7 + 9 9 9 9 9 = 3 + 6 + 7 + 9 9 9 9 9 Correct Option: Cx = 0.3 + 0.6 + 0.7 + 0.8 = 3 + 6 + 7 + 9 9 9 9 9 = 3 + 6 + 7 + 9 9 9 9 9 
 
	