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20851.A train, 800-meter-long is running with a speed of 78 km/hr. It crosses a tunnel in 1 minute. What is the length of the tunnel?
650 meter
555 meter
500 meter
458 meter
Explanation:

Let length of tunnel is x meter.

Distance = 800 + x meter

Time = 1 minute = 60 seconds

Speed = 78 km/hr. = 78 $\times$ 5/18 m/s = 65/3 m/s

Distance = Speed $\times$ Time

=> 800 + x = 65/3 $\times$ 60

=> 800 + x = 20 $\times$ 65=1300

=> x = 1300 - 800 = 500.

20852.Ages of two persons differ by 16 years. If 6 year ago, the elder one be 3 times as old the younger one, find their present age.
12,28
14,30
16,32
18,34
Explanation:

Let the age of younger person is x,

Then elder person age is (x+16)

=> 3(x-6) = (x+16-6) [6 years before]

=> 3x-18 = x+10

=> x = 14.

So other person age is x + 16 = 30.

20853.Shruti purchased several number of three articles P, Q and R in the proportion 3: 2: 3. If the unit costs of the articles P, Q and R are 200, Rs. 90 and Rs. 60 respectively, how many articles of Q must have been purchased in the total purchases of Rs. 4800?
8
10
12
14
20854.The average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?
76 kg
76.5 kg
85 kg
Data inadequate
Explanation:

Total weight increased = (8 x 2.5) kg = 20 kg.

Weight of new person = (65 + 20) kg = 85 kg.

20855.In a mixture of 90 liters, the ratio of milk and water is 2: 1. If this ratio is to be 2: 3, then the quantity of water to be further added is:
60 liters
30 liters
90 liters
45 liters
Explanation:

Quantity of milk = 90 $\times$ 2/3 = 60 liters.

Quantity of water in it = (90 - 60) = 30 liters.

New ratio required = 2: 3.

Let the quantity of water to be added further be x liters.

Then, milk: water = 60/(30+x) = 2 : 3 => 180 = 60+ 2x => x = 60.

$\therefore$ Quantity of water to be further added is 60 liters.

20856.A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in:
8 days
10 days
12 days
15 days
Explanation:

Time taken by A to complete the work = 15 days

Time taken by B to complete the work = 10 days

Work done by A in a day = 1/15

Work done by B in a day = 1/10

Work done by A and B together in a day = 1/15 + 1/10 = 1/6

So work done by A and B together in a two days = 1/3

Work remaining when B leaves = 1 - 1/3 = 2/3

Now, A alone completes the remaining 2/3 work

Time taken by A to complete 2/3 work = 2/3 $\times$ 15 = 10 days.

So total time taken to complete the work = (2+ 10) days = 12 days.

20857.In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhays speed is:
5 kmph
6 kmph
6.25 kmph
7.5 kmph
Explanation:

Let Abhays speed be x km/hr.

Then, 30/x - 30/2x = 3

=> 6x = 30

=> x = 5 km/hr.

20858.In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:
21/46
1/5
3/25
1/50
Explanation:

Let, S = sample space, E = event of selecting 1 girl and 2 boys.

Then, n(S) = Number of ways of selecting 3 students out of 25 = 25C3 = 2300.

n(E) = 10C1 x 15C2 = 1050.

P(E) = n(E)/n(s) = 1050/2300 = 21/46.

20859.Rs.700 is divided among A, B and C so that A receives half as much as B and B half as much as C. Then C`s share is:
Rs.200
Rs.300
Rs.400
Rs.600
20860.X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days .Y joined him till the completion of the work. How long did the work last?
6 days
10 days
15 days
20 days
Explanation:

Work done by X in 4 days = (1/20 - 4) = 1/5

Remaining work = 1 - 1/5 = 4/5

(X+Y)`s 1 day`s work = 1/20 + 1/12 = 8/60 = 2/15

Now, 2/15 work is done by X and Y in 1 day.

So, 4/5 work will be done by X and Y in (15/2 x 4/5) = 6 days.

Hence, total time taken = (6 + 4) days = 10 days.

20861.8 liters are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of the water is 16 : 65. How much wine did the cask hold originally?
18 liters
24 liters
32 liters
42 liters
Explanation:

Let the quantity of the wine in the cask originally be x liters.

Then, quantity of wine left in cask after 4 operations = $[x(1-(8/x) ^4] $liters.

=> $[x(1-(8/x) ^4]$/x = 16/81

=>$ (1-8/x) ^4$ = $(2/3) ^2 $

=> (x - 8)/x = 2/3

=> 3x - 24 = 2x

=> x = 24.

20862.Seats for Mathematics, Physics and Biology in a school are in the ratio 5: 7: 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?
2: 3 : 4
6: 7: 8
6: 8: 9
None of these
Explanation:

Originally, let the number of seats for Mathematics, Physics and Biology be 5x, 7x and 8x respectively.

Number of increased seats are (140% of 5x), (150% of 7x) and (175% of 8x).

=> (140/100 $\times$ 5x), (150/100 $\times$ 7x) and (175/100 $\times$ 8x)

=> 7x, 21/2x and 14x.

The required ratio = 7x : 21x/2 : 14x.

=> 14x : 21x : 28x

=> 2 : 3 : 4.

20863.

HP Verbal Test

Synonym:

prevalent

wind
servile
widespread
rare
20864.Antonym:

onerous is most dissimilar to

permissive
easy
unforgiving
public
20865.Fill in the blank:

The reward was not commensurate __________ work done by us.

for
on
with
upon
20866.Error spotting:

Of the (1)/ two cars that you (2)/ have, the new Maruti is without (3)/ any question, the cheapest (4)/ to run.

1
2
3
4
20867.Sentence Arrangement:

S1: A gentleman who lived alone always had two plates placed on the table at dinner time.

P: One day just as he sat down to dine, the cat rushed in to the room.

Q: One plate was for himself and other was for his cat.

R: she drooped a mouse into her own plate and another into her master plate.

S: He used to give the cat a piece of meat from his own plate.

S6: In this way the cat showed her gratitude to her master.

QSPR
PSRQ
QRSP
RPQS
20868.

Theodore Roosevelt was born with asthma and poor eyesight, yet this sickly child later won fame as a political leader, a Rough Rider, and a hero of the common people. To conquer his handicaps, Teddy trained in a gym and became a lightweight boxer at Harvard. Out west, he hunted buffalo and ran a cattle ranch. Back east, he became a civil service reformer and police commissioner. He became President McKinley`s assistant Navy secretary during the Spanish-American War. Also, he led a charge of cavalry Rough Riders up San Juan Hill in Cuba. After achieving fame, he became governor of New York and went on to become the vice president.When McKinley was assassinated, Theodore Roosevelt became the youngest president at age 42. He is famous for his motto, Speak softly and carry a big stick. Roosevelt battled for meat inspection and pure-food laws. Also, he wanted to save the forests and break the grip that big business had on steel and oil. Roosevelt persuaded the diplomats of warring Russia and Japan to make peace.

Which of the following states the main idea of the passage?
Theodore Roosevelt was a man of many accomplishments
Presidents should speak softly and carry big sticks.
Presidents can help countries make peace
A governor can become a president.
20869.What achievement illustrates Roosevelt`s ability to overcome personal obstacles?
He led a charge of cavalry Rough Riders in Cuba.
He is famous for his motto, Speak softly and carry a big stick.
He overcame his asthma by training in a gym, and he became a boxer.
He became governor of New York.
20870.According to the passage, how did Roosevelt first become president?
He won the support of his party in a political campaign.
As vice president, he took over the presidency when McKinley was assassinated
He won the nation`s popular vote.
He won the necessary Electoral College votes.
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