Accenture – Aptitude
– 2
1. A
car is filled with four and half gallons of oil for a full round trip. The car
however consumes quarter gallon more of oil during its up trip than its down
trip. What is the quantum of oil consumed by the car during its down trip?
(a) 2
gallons (b) 3 gallons (c) 4 gallons (d) 5 gallons.
Ans: (a)
Assuming the car consumes
equal quantity of oil for the whole trip then each of the up and down trip
would have consumed to and a quarter gallons of oil since the total oil
consumption is given as four and half gallons.
However, for the up trip the
car consumes quarter gallon oil more -> 2.25 + 0.25 = 2.50 gallons.
Since the total oil consumed
is only four and half gallons, the oil consumed for the down trip is -> 4.5
– 2.5 = 2.00 gallons.
2. Two
men can complete a work in 24 minutes. One of them can complete the work alone
in 40 minutes. How much time the other man will take to complete the work
alone?
(a) 35
min (b) 50 min (c) 60 min (d) 24 min
Ans: (c)
Let the two men be A and B.
Together they complete the work in 24 minutes.
Let us assume A alone
completes the work in 40 minutes.
Now in one minute A and B will
do 1/24 work.
In one minute A alone will do
1/40 work. B alone will do 1/x work where ‘x’ is the minutes taken by him to do
the work.
Now we have an equation ………..
1/A + 1/B = 1/24 substituting the values
We have ….. 1/40 + 1/x = 1/24
1/x = 1/24 – 1/40 = 1/60.
Hence B will take 60 minutes to complete the work.
3. In
a theatre the parking slot allows the parking of four wheeler and two wheelers
in the ratio 1 : 8. One day the total number of wheels in the parking slot was
observed as 100. How many four wheelers and two wheelers were parked there?
(a) 4 : 24 (b)
5 : 40 (c) 5 : 20 (d) 10 : 30
Ans: (b)
This is a simple but tricky
question. If we go by the number of wheels both (b) and (d) would give the
total number as 100. But, the ratio of parking slot is given as 1 : 8. On this
count option (b) alone will fit and is the answer.
Similar questions were asked
in TCS papers also.
4. Two
oranges, three bananas and four apples cost Rs 15.00. Three oranges, two
bananas and one apple cost Rs 10.00. What is the cost of three oranges, three
bananas and three apples?
(a) Rs
10 (b) Rs 20 (c)
Rs 15 (d) Rs 25
Ans: (c)
2O + 3B + 4A = 15
3O + 2B + 1A = 10 (adding both)
5O + 5B + 5A = 25 so, O + B +
A = 5 and
3O + 3B + 3A = 5 x 3 = 15.
5. In
8*8 chess board John discovered 204 squares. In 3.*3 tik tac toe board how many
squares he will find?
(a) 15 (b) 14 (c) 12 (d) 10
Ans: (b)
If the number of squares on
each side is ‘n’ then the total number of squares in the board is given as
follows:
N2 + (n-1)2 +
(n-2)2 + (n-3)2 + ……….. Substituting 8 for ‘n’ we get total number of
squares as 204.
Similarly substituting 3 for
‘n’ we get the value 14.
You can also use the formula for
finding the sum of the first ‘n’ squares
{n x (n+1) x (2n+1)} / 6
6. For
typing a research report of 70 pages the amount payable is Rs 20.00. A types 42
pages and B types 28 pages respectively. How much money should be paid to A?
(a) Rs
10 (b) Rs 12 (c) Rs 14 (d) Rs 15
Ans: (b)
The ratio of work done by A
and B is 42 : 28 -> 3 : 2. Hence the amount also should be shared in this
ratio.
Hence A will get ……. 20 x 3/5
-> Rs 12.
7. A
rectangular plate with length 11 inches, breadth 8 inches and thickness 2
inches is melted and drawn into a circular rod of diameter 8 inches. What is
the length of the rod?
(a) 3
inches (b) 7 inches (c) 3.5 inches (d) 4.5 inches
Ans: (c)
Volume of the rectangular
plate is 11 * 8 * 2 -> 176 cubic inches.
The volume of the steel rod
should equal this volume.
Volume of steel rod is given
by πr2l (where ‘r’ is the diameter and ‘l’ the length)
Thus π x (4)2 x l =
176 l = 176 / π x 16 -> 3.5 inches.
8. A
tank gets filled in 6 minutes at the rate of 5 cu.ft/min. The length of the
tank is 4 feet and the width half that of the length. What is the depth of the
tank?
(a) 3.75ft
(b) 4.8ft (c)
3.7ft (d)
4.7ft
Ans: (a)
The tank gets filled in 6
minutes at the rate of 5 cu.ft/mt.
Hence the volume of the tank
is 6 x 5 = 30 cubic feet.
The length of the tank is 4
feet and the width (half of length) 2 feet. If the depth is ‘l’
Then the volume of 4 x 2 x l =
8 l.
Thus 8l = 30 cu.ft and l = 30/8 = 3.75 ft
9. A
man goes on his motor bike to the airport to collect a mail. The plane had
arrived earlier and the mail was sent through mail van. The man meets the mail
van after half an hour of starting collects his mail and returns home. In the
process he saves 20 minutes of time. How early the plane had arrived?
(a) 10
min (b) 15 min (c) 20 min (d) 25 min
Ans: (a)
The man collects the mail from
the van and returns home in one hour or sixty minutes. In the process he saved
20 minutes. Thus it is evident he would have taken totally 60 + 20 = 80 minutes
to go to the airport and return if the plane had not come early. In other words
his travel time to airport will be 40 minutes and return time 40 minutes.
But, he collects the mail
after travelling 30 minutes only and the difference of 10 minutes the van had
covered.
But, the man had saved 20
minutes of which the van had taken 10 minutes. Hence, the plane had arrived 10
minutes earlier than the scheduled time
(NOTE: This puzzle originally
appeared in a different format in Shakuntala Devi’s book of puzzles long ago
and gets repeated in various placement papers over the years.)
10. There
is a six digit code number. The first two digits when multiplied by 3 give all
ones. The second two digits when multiplied by 6 give all twos. The remaining two digits when multiplied by 9
give all threes. What is the code number?
(a) 332211 (b) 272727 (c) 373737 (d)
333
Ans: (c)
We can answer this question from
the choices.
Rule 1. The first two digits
when multiplied by 3 give all ones. Hence, it implies the first of the two
digits should be 7. Both (b) and (c) fulfils this condition.
But, only (c) gives all ones
and option (b)fails on this score.
Option (c) fulfils the other
two conditions also.
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