Number System
- A rational number between 1/2 and 3/5 is :
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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: C
Required 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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x + x + 2 = x + 4 + 33
⇒ x + 2 = 37Correct Option: B
x + 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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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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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: B
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 = 70
- The value of x in the following equation is :
0.3 + 0.6 + 0.7 + 0.8 = x
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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: C
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