25 Important Previous Year Q & A | HCA Study Material [04 October 2021]

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25 Important Previous year Q & A | HCA Study Material [04 October 2021]: ഹൈകോർട്ട് പരീക്ഷകൾക്ക് വിജയം നേടാൻ ധാരാളം മുൻകാല ചോദ്യപേപ്പറുകൾ വിശകലനം ചെയ്യേണ്ടതുണ്ട്. ഹൈ കോർട്ടിലേക്ക് ഒരു ജോലി എന്ന സ്വപ്നം പൂവണിയാൻ ശ്രമിക്കുന്ന എല്ലാ ഉദ്യോഗാർത്ഥികൾക്കും ഇനി വരാൻ പോകുന്ന പരീക്ഷകളെ ധൈര്യത്തോടെ നേരിടാൻ ഞങ്ങളിതാ നിങ്ങൾക്കായി മുൻകാല വർഷങ്ങളിലെ ചോദ്യപേപ്പറുകളിൽ നിന്നും പ്രധാനപ്പെട്ട ചോദ്യങ്ങൾ തിരഞ്ഞെടുത്തു അവയുടെ ഉത്തരങ്ങളും വിശദീകരണത്തോടെ നൽകിയിരിക്കുന്നു. മുൻകാല വർഷങ്ങളിലെ 25 ചോദ്യങ്ങളും , അവയുടെ ഉത്തരങ്ങളും (25 Important Previous year Q & A )ചുവടെ കൊടുത്തിരിക്കുന്നു.

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HCA Study Material: 25 Important Previous year Questions (25 ചോദ്യങ്ങൾ)

Choose the appropriate words from the options given below

The fragrance of the flower is still _________ the air.

(A) by (B) on

He has _________ lunch now.

(A) eat (B) ate

Balanced diet is conducive _________ good health.

(A) for (B) to

In each question, an incomplete statement (Stem) followed by fillers is given. Pick out the best one which can complete incomplete stem correctly and meaningfully.

I felt somewhat more relaxed ____________ .

(A) but tense as compared to earlier

(B) and tense as compared to earlier

(D) and tension-free as compared to earlier

Practically, very little work could be completed in the last week as it was _________ .

(A) full of working days

(B) a very hectic week

(D) a very busy week

A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :

(A) 1/4 (B) 1/10

Suppose today is Thursday. What day of the week will it be 19 days from today ?

(A) Monday (B) Tuesday

64521 is to 41256 as 38297 is to __________ .

(A) 89732 (B) 29873

What is the next number in the sequence below ?

1 4 9 16 25 36 ?

(A) 42 (B) 47

What day comes three days after the day which comes two days after the day which comes immediately after the day which comes two days after Monday ?

(A) Tuesday (B) Wednesday

A man has 53 socks in his drawer: 21 identical blue, 15 identical black and 17

identical red. The lights are fused and he is completely in the dark. How many socks must he take out to make 100 per cent certain he has a pair of black socks ?

(A) 37 (B) 38

What is the relationship between the top and bottom boxes of each set, and which of the following might fit in the box with the question mark?

(A) 20 (B) 15

A photograph measuring 8.5 by 7.5 cm is to be enlarged. If the enlargement of the longer side is 13.6 cm, what is the length of the smaller side?

(A) 12.7 (B) 11.6

In a group of 28 junior high school students, 7 take French, 10 take Spanish, and 4 take both languages. The students taking both French and Spanish are not counted with the 7 taking French or the 10 taking Spanish. How many students are not taking either French or Spanish ?

(A) 7 (B) 11

The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number ?

(A) 3 (B) 4

0.001 is equal to which of the following ?

(A) 1/10 (B) 1/100

What is 5 ¼ % of 10 ?

(A)1 (B) 0.225

If cheese is Rs. 445 per kilogramme, what should I pay for 200 grammes ?

(A) 90 (B) 85

A batsman scored 110 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets ?

The original price of a shirt was Rs.200. It was decreased to Rs.150. What is the percent decrease of the price of this shirt ?

(A) 20% (B) 25%

Jones covered a distance of 50 miles on his first trip. On a later trip he travelled 300 miles while going three times as fast. His new time compared with the old time was:

(A) three times as much (B) twice as much

You are lying 120 ft away from a tree that is 50 feet tall. You look up at the top of the tree. Approximately how far is your head from the top of the tree in a straight line ?

(A) 50 feet (B) 75 feet

Jonathan can type a 20 page document in 40 minutes, Susan can type it in 30 minutes, and Jack can type it in 24 minutes. Working together, how much time will it take them to type the same document ?

(A) 5 minutes (B) 10 minutes

Which three of the four pieces below can be fitted together to form a perfect square ?

(A) ABC (B) BCD

How many hexagon (six sided figures) can you find here?

(A) 21 (B) 16

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HCA Study Material: 25 Important Previous year Solutions (25 പരിഹാരങ്ങൾ)

Solutions :

Correct Choice : (D) in

Solutions : The fragrance of the flower is still in the air.

Correct Choice : (C) eaten

Solutions : He has eaten lunch now.

Correct Choice : (A) for

Solutions : Balanced diet is conducive for good health.

Correct Choice : (D) and tension-free as compared to earlier

Solutions : I felt somewhat more relaxed and tension-free as compared to earlier .

Correct Choice : (C) full of holidays

Solutions : Practically, very little work could be completed in the last week as it was full of holidays .

Correct Choice : (D) 8/15

Solutions : The number of days on which the work can be completed by A and B separately is given to us. Now A and B have worked together for 4 days and we need to find the fraction of work which is left. SO let the total work to be done by A and B be P. Using the unitary methods calculate the work done by A and B by per day and using this calculate the work done by them together in 4 days.

“Complete step-by-step answer:”
It is given that A can do a work in 15 days and B can do a work in 20 days.
If A and B have done work for 4 days together then we have to find out the fraction of work left.
Let the total work be P.
So, the work done by A per day is the ratio of total work divided by the number of days in which A can do the work.
So, the work done by A per day $= \frac{P}{15}$ Similarly, the work done by B per day $= \frac{P}{20}$ Now the work done by A and B in four days is
$\Rightarrow (\frac{P}{15} + \frac{P}{20}) \times 4$
Now simplify this we have
$\Rightarrow (\frac{P}{15} + \frac{P}{20}) \times 4 = \frac{28}{60} P$ So, the work left is total work minus the work done by A and B in four days.
So, work left $= P - \frac{28}{60} P = \frac{32}{60} P = \frac{8}{15} P$ So, the fraction of work left is $\frac{8}{15}$ .
So, this is the required answer.

Note – Whenever we face such types of problems the key concept here is to simply apply a unitary method to calculate the work done by the individuals per day then use the conditions and information given in the question to get the required entity.

Correct Choice : (B) Tuesday

Solutions : let ,

today’s date be January 1

according to question

if today is Thursday then

19/7 q= 2 and r= 5

with Thursday add 5 days more i.e.tuesday

Correct Choice : (D) 87923

Solutions : 64521 is to 41256 as 38297 is to 87923

Correct Choice : (C) 49

Solutions : Let us consider the term,

In this question the term is in increasing orders so its should be multiplying some of the no.

1 × 1 = 1

2 × 2 = 4

3 × 3 = 9

4 × 4 =16

5 × 5 = 25 so we follow the pattern for next the term

6 × 6 = 36

7 × 7 = 49

Correct Choice : (A) Tuesday

Solutions : Tuesday is the day that comes third after the day which comes second after the day which comes immediately after the day which comes second after monday.
Explanation : Second after Monday is Wednesday and then immediately is Thursday and second after Thursday is Saturday after which three days is Tuesday.

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Correct Choice : (D) 40

Solutions : You need to assume worst case scenario and it is picking out all of the blue socks. All of the red socks with easily before picking out the black socks.

Answer will be the number of red socks + number of blue socks + 2 (the number of black socks that need to be picked out to form a pair).

[Math] 21+17+2 = 40[/math] so the answer is 40

Correct Choice : (B) 15

Solutions : 15 is the answer

Correct Choice : (C) 12

Solutions : (13.6 ÷ 8.5) × 7.5

= 12 cm.

Correct Choice : (A) 7

Solutions : Add 7 + 10 + 4 to get 21.
Then subtract 21 from the total students ⇒ 28 – 21 = 7.

Correct Choice : (B) 4

Solutions : A two digit number is ab

its value is 10a+b , when digits interchanged , it is ba , and value 10b+a

if a>b then 10a+b -(10b-a)=6=36

9a-9b=36 , 0r a-b=4

difference of the two digits is 4

Correct Choice : (C) 1/1000

Solutions : 0.001 is equivalent to 1/1000.

According to the decimal place value system, the 3^rd place after the decimal is the thousandth position.

Thus, 0.001 is equal to 1/1000 in the p/q form.

Correct Choice : (C) 0.525

Solutions : 0.525

Correct Choice : (D) 89

Solutions : price of cheese / kg =440

price of cheese / 1000g = 440

1000g =440

1g = `440/1000

200g = 440*200/1000

200g= 89 g

you should pay 89 for 200 g of cheese

Correct Choice : (B) 25%

Solutions : Decrease in price

Percentage decrease in price

Correct Choice : (B) twice as much

Solutions : Let speed of the 1st trip x miles / hr. and speed of the 2nd trip 3x / hr.

We know that

Speed = Distance/Time.

Or, Time = Distance/Speed.

So, times taken to covered a distance of 50 miles on his first trip = 50/x hr.

And times taken to covered a distance of 300 miles on his later trip = 300/3x hr.

= 100/x hr.

So we can clearly see that his new time compared with the old time was: twice as much.

Correct Choice : (D) 130 ft

Solutions : You are lying on the ground. So you, the bottom of the tree, and the top of the tree form a right triangle with legs of 120 ft and 50 ft. The sight line to the top of the tree would be:

T²=120² + 50²

=16,900

T=130 ft from the top of your head to the top of the tree

Correct Choice : (B) 10 minutes

Solutions : Jonathan rate: 1/40 job/min
Susan rate:: 1/30 job/min
Jack rate:: 1/24 job/min
Together rate:: 1/x job/min
——————————-
Equation:
rate + rate + rate = together rate

1/40 + 1/30 + 1/24 = 1/x
—-
Multiply thru by 120x to get:
3x + 4x + 5x = 120
12x = 120
x = 10 minutes (time for them to do the job together)

Correct Choice : (B) BCD

Solutions : BCD

Correct Choice : (A) 21

Solutions : 21

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