ALGEBRA
ALGEBRA Q1. In the equation x2 + 9x + k = 0, find the value of k
so that one root of the equation is twice the other root.18 C.
1612D. 24Q2. In the equation kx2 6x + 3 = 0, determine the value of
k so that the roots are equal.4 C. 12 D. 3
Q3. The sum of the 4th and the 8th terms of an arithmetic
progression is 32. The sum of the 10th and the 14th term is 68.
Find the sum of the first 15 terms. Ans. 330Q4. There are 4
geometric means between 3 and 729. What is the sum of all the six
terms?1126C. 10921236D. 1327
Q5. A certain ball when dropped from a height rebounds 4/5 of
the distance from which it fell. Find the total distance traveled
by the ball from the time it is dropped from a height of 120 ft.
until it comes to rest.1060 ft. C. 1080 ft. 1085 ft. D. 1075 ft.Q9.
Solve for x: x = (log b a)(log c d)(log d c)log b aC. log a cB. log
b cD. log d aQ10. If (log10 x) / (1 log10 2) = 2, what is the value
of x?C. 254D. 5Q11. The sum of two numbers is 37. If the larger is
divided by the smaller, the quotient is 3 and the remainder is 5.
Find the numbers. Q12. Two times the fathers age is 8 more than six
times his sons age. Ten years ago, the sum of their ages was 44.
The age of the son isA. 49 B. 15 C. 20 D. 18
Q13. A box with an open top is to be made by taking a
rectangular piece of tin 8 x 10 inches and cutting a square of the
same size out of each corner and folding up the sides. If the area
of the base is to be 24 square inches, what should be the length of
the sides of the square?2.0 in.B. 2.1 in.1.8 in.D. 2.2 in.
Q14. In a two-digit number, the units digit is 3 more than the
tens digit. Find the number if it is 4 times as large as the sum of
its digits. A. 47B. 58C. 36D. 25
Q15. A can do a job in 3 days and B can do the same job in 6
days. How long will it take them if they work together?
Q16. As rate of doing work is three times that of B. On a given
day, A and B work together for 4 hours, then B is called away and A
finishes the rest of the job in 2 hours. How long would it take B
to do the complete job alone?
Q17. A job can be done by 20 laborers in 30 days. To finish the
job earlier 25 men were hired. However, after working for 20 days,
10 men quit and were not replaced. Find the total number of days to
complete the job. 28 & 2/3C. 27 & 1/326 & 2/3D. 25
& 1/3
Q18. A woman leaves home in a car on a business trip. Twenty
minutes later, her husband discovers that she left her briefcase
behind and decides to overtake her in another car. The husband
knows that his wife averages 45 miles per hour and that he averages
60 miles per hour. How long will it be until he overtakes his
wife?1 hr.C. 1 hr. 20 min.40 min.D. 1 hr. 30 min.Q19. Two cars A
and B race around a 1320 m circular track. The rates of A and B are
360 m/min and 300 m/min, respectively. If they travel at the same
direction and start at the same point, when will A overtake B for
the first time?18 min.C. 22 min.12 min.D. 36 min.
Q20. The gasoline tank of a car contains 50 liters of gasoline
and alcohol, the alcohol comprising 25%. How much of the mixture
must be drawn off and replaced by alcohol so that the tank contain
a mixture of which 50% is alcohol?12.67 litersC. 18.75 liters16.67
litersD. 14.25 liters
