Source: Google.Com
1. A, B, and C
can together do some work in 72 days. Together A and B can do two times as much
work as C alone, and A and C together can do four times as much work as B
alone. Find the time taken by C alone to do the whole work.
a. 144 days
b. 360 days
c. 216 days
d. 180 days
Answer: 216
days
Exp:
The work done
by A, B and C together =A + B + C = 72 days
A + B = 2CA + C = 4B
On solving, we
get 3C = 72 days and hence C = 72*3 = 216 days
2. A and B
completed certain work together in 5 days. Had A worked at twice his own speed
and B half his own speed, it would have taken them 4 days to complete the job.
How much time would it take for A alone to do the job?
a. 10 days
b. 20 days
c. 25 days
d. 15 days
Ans: 10 Days
Exp: A and B
can together do a work in 5 days = A + B = 1/5 days2A + B/2 = 1/4
On solving
these equations, we get A = 1/10 and hence A will take 10 days to complete the
work all alone.
3. A sum of Rs
2387 is divided into three parts in such a way that one-fifth of the first
part, one half of the second part and the fourth one and the third part are
equal. Find the sum of five times the first part, three times the second part
and four times the third part (in rupees).
a. 9982
b. 7812
c. 9114
d. 10199
Ans: 10199
Exp:
Let the amount
be divided into three parts X, Y, and Z.X + Y + Z = 2387
X/5 = Y/2 =
Z/4 = K
X = 5K
Y = 2K
Z = 4K
Hence, 5K + 2K
+ 4K = 2387
11K = 2387
K = 217
5 times of 1st
part + 3 times of 2nd part + 4 times of 3rd part = 5X + 3Y + 4Z
= 5(5K) +
3(2K) + 4(4K) = 5(5*217) + 3(2*217) + 4(4*217)
= 5425 + 1302
+ 3472 = 10199
4. What is the
greatest possible positive integer n if 16^n divides (44)^44 without leaving a
remainder?
a. 14
b. 15
c. 28
d. 29
Answer: 29
5. In a test
with 26 questions, five points were deducted for each wrong answer and eight
points were added for every correct answer. How many were answered correctly if
the score was zero?
a. 11
b. 10
c. 13
d. 12
Answer: 10:
Exp:
Let the number
of correct answers be y and number of wrong answers be x.
(-5)x + 8(y) =
0
x + y = 26
On solving
these, we get x = 16 and y = 10
(The Happy Beginnings......)
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