Free SHSAT Math Questions and Answer :
Here we are going to see some practice questions of the math topic "Arithmetic".
Question 16 :
If s is a positive integer, what is the least value of s for which √(3s/2) is an integer ?
(A) 2 (B) 3 (C) 6 (D) 9 (D) 24
If s = 2
If s = 3
If s = 6
Answer C is correct.
Question 17 :
If the value of a house rises by 20 percent, what is the ratio of the increase in the house's value to the new value of the house ?
(A) 1 : 6 (B) 1 : 5 (C) 1 : 4 (D) 2 : 5 (E) 2 : 3
Increase = 20%
New value of house after increment = 100 + 20 = 120%
= 20 : 120
= 1 : 6
Question 18 :
A car travels 60 kilometers in one hour before a piston breaks, then travels at 30 kilometers per hour for the remaining 60 kilometers to its destination. What is the car's average speed in kilometers per hour for the entire trip ?
(A) 20 (B) 40 (C) 45 (D) 50
Distance covered by car before piston breaks
= 60 kilometer
After piston breaks, car is travelling another 60 kilometers by taking the speed of 30 kilometer per hour
Entire distance covered = 60 + 60 = 120
Time taken to cover the distance = 1 + 2 = 3
= 40 km/hr
Hence the average speed is 40 km/hr
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