Number System
- What decimal of a week is an hour ?
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Required answer
= 1 = 1 = 0.0059 7 × 24 168
Correct Option: A
Required answer
= 1 = 1 = 0.0059 7 × 24 168
- In an exam the sum of the scores of A and B is 120, that of B and C is 130 and that of C and A is 140. Then the score of C is :
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A + B = 120
B + C = 130
C + A = 140
On adding,
2 (A + B + C) = 120 + 130 + 140 = 390⇒ A + B + C = 390 = 195 2
∴ Marks obtained by C = Marks
obtained by (A + B + C) – Marks
obtained by (A + B)
= 195 – 120 = 75
Correct Option: B
A + B = 120
B + C = 130
C + A = 140
On adding,
2 (A + B + C) = 120 + 130 + 140 = 390⇒ A + B + C = 390 = 195 2
∴ Marks obtained by C = Marks
obtained by (A + B + C) – Marks
obtained by (A + B)
= 195 – 120 = 75
- If p = – 0.12, q = –0.01 and r = – 0.015, then the correct relationship among the three is :
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0.01 < 0.015 < 0.12
⇒ – 0.01 > – 0.015 > – 0.12
⇒ p < r < qCorrect Option: D
0.01 < 0.015 < 0.12
⇒ – 0.01 > – 0.015 > – 0.12
⇒ p < r < q
- Among the following statements, the statement which is not correct is :
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Every rational number is a real number.
Correct Option: C
Every rational number is a real number.
- If a certain number of two digits is divided by the sum of its digits, the quotient is 6 and the remainder is 3. If the digits are reversed and the resulting number is divided by the sum of the digits, the quotient is 4 and the remainder is 9. The sum of the digits of the number is
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Let the number be 10x + y.
Dividend = Divisor × quotient + remainder
∴ 10x + y = 6(x + y) + 3
⇒ 10x + y = 6x + 6y + 3
⇒ 10x – 6x + y – 6y = 3
⇒ 4x – 5y = 3 ....(i)
Again, 10y + x = 4 (x + y) + 9
⇒ 10y + x = 4x + 4y + 9
⇒ 6y – 3x = 9
⇒ 2y – x = 3 ....(ii)
∴ By equation (i) + 4 × (ii),4x – 5y = 3 8y – 4x = 12 ____________ 3y = 15 ⇒y = 5
From equation (ii),
2 × 5 – x = 3 ⇒ x = 10 – 3 = 7
∴ Sum of digits = x + y = 7 + 5 =12Correct Option: C
Let the number be 10x + y.
Dividend = Divisor × quotient + remainder
∴ 10x + y = 6(x + y) + 3
⇒ 10x + y = 6x + 6y + 3
⇒ 10x – 6x + y – 6y = 3
⇒ 4x – 5y = 3 ....(i)
Again, 10y + x = 4 (x + y) + 9
⇒ 10y + x = 4x + 4y + 9
⇒ 6y – 3x = 9
⇒ 2y – x = 3 ....(ii)
∴ By equation (i) + 4 × (ii),4x – 5y = 3 8y – 4x = 12 ____________ 3y = 15 ⇒y = 5
From equation (ii),
2 × 5 – x = 3 ⇒ x = 10 – 3 = 7
∴ Sum of digits = x + y = 7 + 5 =12
