Number System
-  The sum of the two position number P and Q is 2.5 time their difference .If the product of the number 84 then the what is the sum of those two number?
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                        View Hint View Answer Discuss in Forum Let the number be P and Q 
 According to the question
 (P + Q) = 2.5 (P - Q)
 ⇒ P + Q = 2.5P - 25Q
 ⇒ 3.5Q = 1.5P
 ⇒ P / Q = 7/3 .....(i)
 Now PQ = 84Correct Option: DLet the number be P and Q 
 According to the question
 (P + Q) = 2.5 (P - Q)
 ⇒ P + Q = 2.5P - 25Q
 ⇒ 3.5Q = 1.5P
 ⇒ P / Q = 7/3 .....(i)
 Now PQ = 84
 ⇒ Q2 = (84 x 3) / 7
 ⇒ Q2 = 36
 ∴ Q = 6
 &ther4; P = (7/3) x 6 = 14
 Sum of the number = P + Q = 14 + 6 = 20
-  Out of three given number the first number is twice the second and thrice number is 154 then what is the difference between the first and third number ?
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                        View Hint View Answer Discuss in Forum Let the third number = N 
 Then the first number = 3N
 And second number = 3N/2
 According to the question [N + 3N + 3N/2] / 3=154Correct Option: CLet the third number = N 
 Then the first number = 3N
 And second number = 3N/2
 According to the question [N + 3N + 3N/2] / 3=154
 ⇒ (2N +6N +3N) / 6 = 154
 ∴ N = (154 x 6) / 11 = 84
 ∴ Required difference = 3N - N = 2N
 = 2 x 84 = 168
-  Find the maximum number of tree which can plant 20 m apart on the two side of straight road 1760 m long
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                        View Hint View Answer Discuss in Forum Number of trees that can be planted on one side of road = (1760 / 20) + 1 Correct Option: DNumber of trees that can be planted on one side of road = (1760 / 20) + 1 
 = 88 + 1
 =89
 ∴ Trees on the both side = 2 x 89=178
-  The difference between two number is 18 if four times the second number is less then three what is the sum these two number?
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                        View Hint View Answer Discuss in Forum Let first number = P 
 And second number = Q
 According to the question
 P - Q = 10 ....(i)
 And 3P - 4Q = 18...(ii)
 on multiply eq (i) by 3 and then subtract eq (ii) from it
 3P - 3Q = 54
 3P - 4Q = 18
 Q = 36
 On putting the value of Q in the eq (i)
 P = 18 + Q = 18 +36
 ⇒ P = 54Correct Option: DLet first number = P 
 And second number = Q
 According to the question
 P - Q = 10 ....(i)
 And 3P - 4Q = 18...(ii)
 on multiply eq (i) by 3 and then subtract eq (ii) from it
 3P - 3Q = 54
 3P - 4Q = 18
 Q = 36
 On putting the value of Q in the eq (i)
 P = 18 + Q = 18 +36
 ⇒ P = 54
 Required sum = P + Q = 54 +36 =90
-  The smallest number of five digits exactly divisible by 476 is
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                        View Hint View Answer Discuss in Forum The smallest number of 5 digits = 10000 
 Now, Correct Option: DThe smallest number of 5 digits = 10000 
 Now, 
 ∴ Required number = 10000 + (476 – 4)
 = 10000 + 472 = 10472
 
	