Find the H.C.F of 204, 1190 and 1445?
Find the H.C.F of 204, 1190 and 1445?
A. 34
B. 17
C. 85
D. 204
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A right cylinder and a right circular cone have the same radius and the same volume. The ratio of the height of the cylinder to that of the cone is_________?
A right cylinder and a right circular cone have the same radius and the same volume. The ratio of the height of the cylinder to that of the cone is_________?A. 3: 5
B. 2: 5
C. 3: 1
D. 1: 3Two persons A and B take a field on rent. A puts on it 21 horses for 3 months and 15 cows for 2 months; B puts 15 cows for 6months and 40 sheep for 7 1/2 months. If one day, 3 horses eat as much as 5 cows and 6 cows as much as 10 sheep, what part of the rent should A pay?
Two persons A and B take a field on rent. A puts on it 21 horses for 3 months and 15 cows for 2 months; B puts 15 cows for 6months and 40 sheep for 7 1/2 months. If one day, 3 horses eat as much as 5 cows and 6 cows as much as 10 sheep, what part of the rent should A pay?A. 1/3 rd
B. 2/5 th
C. 2/3 rd
D. 1/5 th
Explanation:
3h = 5c
6c = 10s
A = 21h*3 + 15c*2
= 63h + 30c
= 105c + 30c = 135c
B = 15c*6 + 40s*7 1/2
= 90c + 300s
= 90c + 180c = 270c
A:B = 135:270
27:52
A = 27/79 = 1/3Two trains 140 metres and 120 metres are running in the same direction with speeds 40 kmph and 60 kmph respectively. In what time will the faster train pass the slower one?
Two trains 140 metres and 120 metres are running in the same direction with speeds 40 kmph and 60 kmph respectively. In what time will the faster train pass the slower one?A. 0.60 minutes
B. 0.36 minutes
C. 0.78 minutes
D. 0.42 minutes
Total distance = addition of length of the two trains = 140 + 120 = 260 metres
As the two trains are travelling in the same direction, their relative speed is:
v = | v1 – v2 | = | 40 – 60 | = 20 km/hr = 20*1000/60 = 1000/3 metres/min
t = 260/ 1000*3
t = 0.78 minutesA mixture of 70 liters of wine and water contains 10% water. How much water must be added to make water 12 ½% of the total mixture?
A mixture of 70 liters of wine and water contains 10% water. How much water must be added to make water 12 ½% of the total mixture?A. 12 liters
B. 10 liters
C. 4 liters
D. 2 liters
Explanation:
70 * (10/100) = 7
Wine Water
87 1/2% 12 1/2%
87 1/2% ——- 63
12 1/2% ——-? => 9-7=2zero is a__________ number?
zero is a__________ number?A. odd number
B. even number
C. whole number
D. None of theseIn a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples?
In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples?A. 5/21
B. 5/14
C. 9/14
D. 16/21
Explanation:
Number of ways of (selecting at least two couples among five people selected) = (⁵C₂ * ⁶C₁)
As remaining person can be any one among three couples left.
Required probability = (⁵C₂ * ⁶C₁)/¹⁰C₅
= (10 * 6)/252 = 5/21