Surface area of two spheres are in the ratio 1:4 what is the ratio of their volumes?
Surface area of two spheres are in the ratio 1:4 what is the ratio of their volumes?
A. 1:64
B. 1:8
C. 1:4
D. 8:1
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Taimoor left for his school at 6 am by foot and walked at the rate of 2 kmph. After reaching his school he found it was closed and immediately turned back and started walking back to his home at 3 kmph. If he reached his home at 9 am, find the distance between his school and his home.
Taimoor left for his school at 6 am by foot and walked at the rate of 2 kmph. After reaching his school he found it was closed and immediately turned back and started walking back to his home at 3 kmph. If he reached his home at 9 am, find the distance between his school and his home.A. 2.5 km
B. 7.2 km
C. 7 km
D. 3.6 km
Average speed of Taimoor = (2*2*3)/(2 + 3) = 2.4 km/hr
If d is he distance between the school and Taimoor’s home, then total distance walked by Taimoor = 2d, and the total time taken is 3 hours
2.4 = 2d/3
7.2 = 2d
d = 3.6 kmA sum of money is borrowed and paid back in two annual installments of Rs. 882 each allowing 5% C.I. The sum borrowed was?
A sum of money is borrowed and paid back in two annual installments of Rs. 882 each allowing 5% C.I. The sum borrowed was?A. Rs. 1620
B. Rs. 1640
C. Rs. 1680
D. Rs. 1700
Explanation:
Principal = (P.W. of Rs. 882 due 1 year hence) + (P.W. of Rs. 882 due 2 years hence)
= [882/(1 + 5/100) + 882/(1 + 5/100)2]
= (882 * 20)/21 + (882 * 400)/441 = Rs. 1640.Three men start together to travel the same way around a circular track of 11 kilometers in circumference. Their speeds are 4, 5 and 8 kilometers per hour respectively. When will they meet at a starting point?
Three men start together to travel the same way around a circular track of 11 kilometers in circumference. Their speeds are 4, 5 and 8 kilometers per hour respectively. When will they meet at a starting point?A. 11 hours
B. 12 hours
C. 220 hours
D. 22 hoursA and B starts a business with Rs.8000 each, and after 4 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months?
A and B starts a business with Rs.8000 each, and after 4 months, B withdraws half of his capital . How should they the profits at the end of the 18 months?A. 18:11
B. 22:13
C. 23:12
D. 11:9
Explanation:
A invests Rs.8000 for 18 months, but B invests Rs.8000 for the first 4 months and then withdraws Rs.4000. So, the investment of B for remaining 14 months is Rs.4000 only.
A : B
8000*18 : (8000*4) + (4000*14)
14400 : 88000
A:B = 18:11p is 50% more than q. Find the ratio of p to q.
p is 50% more than q. Find the ratio of p to q.A. 3:2
B. 1:2
C. 1:5
D. 2:1
p = q+(50/100)q = 1.5q p:q = 1.5q:q = 1.5:1 = 3:2At a ship the food was enough for 50 people. But after 10 days half of the men died due to some viral disease and the food is sufficient for as long as before. How long the food was sufficient for then?
At a ship the food was enough for 50 people. But after 10 days half of the men died due to some viral disease and the food is sufficient for as long as before. How long the food was sufficient for then?A. 20
B. 60
C. 70
D. 50