An apology: I am not able to transfer the figures from my folder into this blog and I do not know how. Readers will please bear with me and draw their own figures wherever necessary and proceed to follow the answer.
Accenture – Quants and Verbal
1.
A train
overtakes 2 persons walking at 3 km/hr and 5 km/hr respectively in the same
direction and completely passes them in 8 seconds and 10 seconds respectively.
Find the speed of the train.
Answer: 13 km/hr
Let
the speed of the train be X km/hr. Then relative speed between the train and
the first person will be (X-3) km/hr or (X-3)5/18 meters/sec.
Similarly
the relative speed with reference to the second person will be (X-5)5/18
meters/sec.
For
crossing the two persons walking the train has to travel its length. Thus, for
crossing the first person the time taken is 8 secs. The distance travelled in
this time is {(5X-15)/18}* 8… (I)
Similarly
the distance travelled in 10 secs to cross the second person is {(5X-25)/18} *
10 ..(II)
Since
(I) and (II) are equal, equating the two we get the value of X as 13 km/hr.
2.
The
ratio between the radius and height of a cone is 3:4. What is the curved
surface area of the cone?
Answer: 15 pi sq.meters.
Let
the radius and height be respectively 3 and 4 meters. Then the slant height ‘l’
Is
given by √32 + 42 = 5meters.
The curved surface area is equal to ∏rl
= ∏*3*5 = 15∏ Sq.meters.
3.
A man stands on the top of a pole and makes
an angle of 60° on the surface of a ground. He slides 20 m down and makes an
angle of 30°at the same point. If he takes 10 seconds to slide from the top to reach
the ground then find his speed.
Answer:
10.80 km/hr.
A
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B C
Angle ACB = 60 degrees Angle DCB = 30 degrees Distance AD = 20 meters.
Let distance DB be ‘h’ meters and distance BC be ‘ x’ meters.
(20 + h)/ x = √3 (Tan 60 degrees) h/x = 1/√3 x = √3h
(Tan 30 degrees)
X = (20+h)/ √3 Since the value of ‘x’ is the same we have
an equation
(20+h)/√3 = √3h. Solving this we get 20 +h
= 3h. So 2h = 20 and h = 10 meters.
The total distance from A to B is 20 + 10 =
30 meters and for sliding this distance the time taken is 10 seconds. Thus in
one minute the distance slide would be 30 * 6 =180 meters and in one hour it
would be 180 * 60 = 10800 meters or 10.80km.
Hence
the speed of sliding is 10.80 km/hr.
4. If 2x+y = 11, 2y+z = 12 and z+2x = 8, find
the value of 2x + 3y +4z.
Answer: 29
2x + y = 11 (i)
2y + z = 12 (ii) z + 2x = 8
(iii)
Subtracting (iii) from (ii) we
get 2y – 2x = 4 So, 2x = 2y – 4.
Substituting this value in (i)
We get 2y – 4 + y = 11. Thus
3y = 15 and the value of y = 5. Substituting this value of ‘y’ in the other two
equations we get the value of ‘x’ as 3 and ‘z’ as 2.
Hence the value of 2x + 3y + 4z =
2*3 + 3*5 + 4*2 = 29
5.
A
shopkeeper labels the price of article 15% above the cost price. If he allow Rs
51.20 discount on an article of Rs 1024, find his profit percent.
Answer: 9.25%
The
cost of the article was Rs 1024 which is 115% of the cost price. Hence the cost
price of the article was Rs 890.40.
The
article was sold after allowing a discount of Rs 51.20 and thus the sale value
was
Rs
972.80. Hence the profit amount is Rs 972.80 – Rs 890.40 = Rs 82.40 and the
profit percentage is (82.40 * 100) / 890.40 = 9.25%
Directions (Q. 6-10):
Read each sentence to find out whether there is any error in it. The error,
if any, will be in one part of the sentence. The number of that part is the
answer. If there is no error, the answer is 5). (Ignore the errors of
punctuation, if any.)
6.
1)
To the best of 2) my knowledge and
belief 3) his moral character 4) is
beyond approach. 5) No error
Answer:
(4) The word should be ‘reproach’
instead of approach
7.
1) This suggestion was 2) placed down a few years ago 3) because of a suspicion that 4) the best officers will quite. 5) No error
Answer:
(4) The word should be ‘quit’ instead of quite
8.
1) Successful privatising calls for 2) a broad-based programme rather than 3) a preoccupation with getting the 4) best for individual companies. 5) No error
Answer:
(1) the word should be ‘privatisation’ instead of privatising
9.
1) There can be 2) little doubt that 3) he was the author 4) of his own downfall. 5) No error
Answer:
(2) The word should be ‘no’ instead of little.
10.
1) He became a 2) prickly person able to 3) get on with old friends 4) and new colleagues. 5) No error
Answer:
(2) The word ‘not’ is missing between person and able
Directions
(Q. 11-20): In the
following passage there are blanks, each of which has been numbered. These
numbers are printed below the passage and against each five words are
suggested, one of which fits the blank appropriately. Find out the appropriate
words.
It is a 11 that
Communists are opposed to economic reforms. The fact of the life is that
Communists are the most 12 fighters for economic reforms, the reforms
that lead to self-reliant and democratic economic development with social
justice. To term the market-oriented changes as reform is a 13
. The development strategy 14 under Structural Adjustment and dictated by
the World Bank, IMF and WTO is a strategy for the 15 development of capitalism under which the
working people, who are the main productive force, are made 16,
kept unemployed, thrown out of
jobs, and so on. It has no social relevance. In the phase of globalization, no
country can develop in 17 and entry of the foreign capital can not
be 18 altogether. Integration with world economy has
to ensure the free and speedy 19 of the national economy. Foreign capital has
to be allowed in the areas where we really need huge investment, which our
resources cannot meet, and where we need technology, not available in the
country. Economic 20 by MNCs should not mean license for plunder.
11. 1) problem 2)
mysticism 3) curiosity 4) misconception 5)
mistake
Answer: (4)
12. 1) liberal 2) demanding 3) strident 4)
detrimental 5) horrible.
Answer: (3)
13. 1) misnomer 2) terrible 3) danger 4) tragedy 5)
shame
Answer: (1)
14. 1) reached 2)
verified 3) assembled 4) hurled 5)
envisaged
Answer: (5)
15. 1) westernised 2) unfettered 3) gross 4)
accumulated 5) astounding
Answer: (2)
16. 1) labourers 2) culprit 3) redundant 4) escapists 5) icons
Answer: (3)
17. 1) unison 2) liberalisation 3)
coalition 4) association 5) isolation
Answer: (5)
18. 1) forced 2) loaded 3) denied 4) stated 5)
scrutinised
Answer: (3)
19. 1) development 2) empowerment 3) unity 4)
mobilisation 5) cohesion
Answer: (1)
20. 1) growth 2) potential 3)
strategy 4) reforms 5) vitality
Answer: (4)
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