A. 56
B. 42
C. 38
D. 34
Explanation:
HCF of 374, 544 = 34
A. 6 hrs
B. 10 hrs
C. 15 hrs
D. 30 hrs
Explanation:
Suppose, first pipe alone takes x hours to fill the tank. Then, second and third pipes will take (x – 5) and (x – 9) hours respectively to fill the tank.
1/x + 1/(x – 5) = 1/(x – 9)
(2x – 5)(x – 9) = x(x – 5)
x2 – 18x + 45 = 0
(x- 15)(x – 3) = 0 => x = 15
A. 1000
B. 2000
C. 3000
D. 4000
A. 750
B. 500
C. 250
D. 125
Explanation:
Let x% candidates take both the subjects.
Therefore, Percentage of candidates who opted physics = 65.8%
And percentage of candidates who opted mathematics = 59.2%
Therefore, x =(65.8 + 59.2 – 100)%
= (125 -100)% = 25%
Also total number of candidates = 2000
Therefore, Number of candidates who opted both the subjects = 25/100 x 2000 =500
A. 11250
B. 15000
C. 26250
D. 37500
Explanation:
Let the votes polled by the winning candidate be x.
Then, (x – 15000) = 30 % of [x + (x – 15000)]
or x = 26250.
A. 15%
B. 12%
C. 10%
D. 5%
A. 2
B. 5
C. 8
D. Cannot be determined
Let the numbers x, x + 2, x + 4, x + 6 and x + 8
Then, [x + (x + 2) + (x + 4) + (x + 6) + (x + 8)]5 = 61
or 5x + 20 = 305 => x = 57
So, required difference = (57 + 8) – 57 = 8