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[ACIO-2013] Aptitude (Maths, Reasoning, English) Answerkey with explanations, shortcuts

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  1. Halltickets: UPSC,RBI,UPPSC
  2. Economic Survey POWERPOINT
    Nothing else on top priority
  3. CAPF-2014 answerkey after that
  1. Prologue
  2. Maths questions: Internal Breakup
    1. Percentages
    2. Wine-water (Alligiation)
    3. Number System
    4. TSD (Time Speed Distance)
    5. Permutation Combination Probability
    6. AP-GP
  3. Reasoning
    1. Direction Sense Test
    2. Sitting arrangement
    3. Blood relation
    4. Calendar
  4. English internal breakup
    1. Sentence correction / meaning
    2. idioms and phrases
    3. Vocabulary
    4. Essay

Prologue

The ACIO-2013 general-awareness answerkey (history, geography etc.) was given separately click me. This article contains the answerkeys for Aptitude portion (Maths, Reasoning, English.)

  1. Two MCQs in the english portion :debatable, because I’m unable to locate the rules.
  2. other than that, if you have any correction/faster techniques/shortcuts/ for the same MCQs, do share it as well.

and my thanks to Manu Jha, Palas Nuwal, Shiva Ram and Rohith for their valuable inputs.

Maths questions

% Percentage 1
AVG. Wine-Water 1
NUMBERSYSTEM Remainder 2
Prime Number 1
Base System 1
STD Time-Speed-Distance 1
PCP Permutation Combination 3
Probability 1
APGP Arithmetic Progression 1
Total 12

Percentages

  1. If increasing 20 by p% gives same result as decreasing 60 by p%, then what is p% of 70?
    1. 50
    2. 140
    3. 14
    4. 35

p%=p/100;

Increase 20 By P% Decrease 60 By P%
(100% of 20 + p% of 20)=(20+ 20p/100)
=20 (1+p/100)…….eq1
60 (1-p/100)…eq2

but as per the question, eq1=eq2
(1+p/100)*20=(1-p/100)*60
When you simplify this equation, you get p=50.
But question requires you to find p% of 70
Meaning 50% of 70=>half of 70=35. Answer (IV).

Wine-water (Alligiation)

  1. In what ratio should a 20% methyl alcohol solution be mixed with a 50% methyl alcohol solution so that the resultant solution has 40% methyl alcohol in it?
    1. 1:2
    2. 2:1
    3. 1:3
    4. 2:3

Make the table

conc.% 20 40 50
volume a b

apply the “visual” move
(50-40)=a, hence a=10
(40-20)=b, hence b=20
a:b=10:20=1:2, so answer is (i).

Number System

Prime number

  1. The difference between ages of two brothers is a prime number. The sum of their ages is also a prime number. If elder brother is 28 years old, how many values can age of younger brother take?
    1. 2
    2. 3
    3. 4
    4. 1

(I’m going by trial and error method, but if you know a faster method, please do share in the comment.)
Prime numbers between 1 to 28= 2,3,5,7,11,13,17,19,23
Now go by trial and error

columnA columnB col.C=ColA-ColB col.D yes/no
elder bro’s age difference is prime number younger bro’s age elder bro+younger bro is col.D a prime number?
28 2 26 54 no
28 3 25 53 yes
28 5 23 51 no
28 7 21 49 no
28 11 17 45 no
28 13 15 43 yes
28 17 11 39 no
28 19 9 37 yes
28 23 5 33 no

from this table, we can see three possible numbers for younger brother’s age: 25,15 and 9.
hence answer is (ii): 3 possible numbers.

Remainder

  1. Find the least five digit number, which when divided by 12, 18, 21 and 28, leaves the same remainder.
  1. 11019
  2. 10081
  3. 10059
  4. 10289

for this type of question, you need to find LCM of given numbers first
LCM (12, 18, 21, 28)=252
meaning, if I divided 252 with any of the given number (12,18,21,28) then it’ll give remainder zero.
similarly, if I divided 252+1 =253 with any of those given numbers, I’ll get remainder 1.
now by trial and error, try to find first “five digit” multiple of 252
first do approximation (in your head)
25 x 4=100
250 x 4=1000
250 x 40=10,000
Meaning 252 x 40 will be higher than 10,000.
252 x 39 try karo: 9829 but this is four digit. so
252 x 40= 10080 is our first “five digit” multiple of 10080.
observe the options: (ii)=10081. Meaning 10080+1 so this number will give same common remainder “1” when divided by 12,18,21 or 28.
Excel
just for timepass (and for IBPS computer awareness) try to find remainders using excel. The cell formula will be =MOD(number,divisor). you’ll see that our answer is correct.

  1. A number when divided by a divisor, leaves a remainder of 24. when twice the original number is divided by same divisor, the remainder is 11. what is the value of divisor?
    1. 13
    2. 59
    3. 35
    4. 37

Suppose the number is “N”, division is “D”, quotient is “Q” and remainder is “R”. then we can write
N=DQ+R
N=DQ+24….first case given.
Twice of that number
2xN= 2 (DQ+24)=2DQ+(24 x 2)=2DQ + 48…..eq1
Question says when 2N is divided by “D”, then 11 remainder is obtained.
But 2N=(2DQ+48)
Imagine what will happen if we divide (2DQ+48) by “D”
(2DQ+48)/D
(2DQ/D) + (48/D)
First bracket will give zero remainder because D/D will cancel each other. Meaning whatever remainder is obtained- that we got from (48/D).
48/D=new remainder. But as per the question, new remainder was 11.
Think about this: when 48 divided by “D” gives 11 remainder. Meaning, when 48-11(=37) is divided by “D” then we get zero remainder. Hence “D”=37. (Since 37 is a prime number, D has to be 37. Suppose we got 32, then we might need to think about some smaller factors of 32 e.g. 16, 2 etc.)
Thus answer is 37. (choice iv)
let’s verify:
Original number when divided by 37 leaves remainder 24. One such number could be 37+24=61
if we’re correct then twice of 61, when divided by 37, should leave remainder 11. Try it in excel: =MOD(2*61,37) and you’ll get 11 as remainder. Meaning 37 is correct.

Base system

  1. What will be the expression for 567 in binary system?
    1. 1010111001
    2. 1000110001
    3. 1000011101
    4. 1000110111

Method is explained here:
http://www.wikihow.com/Convert-from-Decimal-to-Binary

DIVIDED BY TWO NUMBER OR QUOTIENT REMAINDER
2 567 1
2 283 1
2 141 1
2 70 0
2 35 1
2 17 1
2 8 0
2 4 0
2 2 0
2 1 1

now write those remainder from bottom to top
1000110111
Hence (567)10=(1000110111)2

TSD (Time Speed Distance)

  1. A train covers certain distance between two places at a uniform speed. If the train moved 10 km/hr faster, it would take 2 hours less. And, if the train were slower by 10 km/hr, it would take 3 hours more than the scheduled time. Find the distance covered by the train.
    1. 300 kms
    2. 600 kms
    3. 800 kms
    4. 1200 kms

Shortcut (cross multiplication)
Inspired from Sarvesh Kumar’s cross multiplication method, from his example 8 in chapter on Time, Speed and distance.
First, draw a regular STD table.

normal case faster case slower case
speed s +10* -10
time t -2 +3
distance d

*here we should be writing s+10 but instead just write +10. Same approach for other cells.
Now, speed x time = distance. So in faster case: +10 x -2=(-20) but distance cannot be negative, so write +20

normal case faster case slower case
speed s +10* -10
time t -2 +3
distance d 20 30

Now cross multiply speed and time from first two columns
-2s+10t=20…..eq1
Similarly cross multiple speed time from column 1 and column 3
+3s-10t=30….eq2
Add eq1+eq2, you get
(-2s+10t)+(3s-10t)=30+50
s=50kmph. plug this value back in eq1
-2(50)+10t=20
10t=120, hence t=12 hours.
And we know that speed x time = distance. Therefore 50 x 12=600km was the total distance. Answer (ii)
Longer method:

normal case faster case slower case
speed s s+10 s-10
time t t-2 t+3
distance d d d

here you’ve 3 variables (s,t,d) and 3 columns:
speed x time = distance and distance is same in all three cases. from the first column we get s x t=d.
So instead of “d”, I can write “st” everywhere.

normal case faster case slower case
speed s s+10 s-10
time t t-2 t+3
distance st st st

now observed:

column speed x time = distance
first column s x t =d
second column (s+10)(t-2)=styou simplify it further, you get
-s+5t=10…eq1
third column (s-10)(t+3)=styou simplify it further, you get
3s-10t=30….eq2

-s+5t=10…eq1
3s-10t=30….eq2
now if I multiply eq1 with x2 and add in eq2, it’ll cut -10t.
-2s+10t=20
3s-10t=30
from this we get
s=50kmp. plug it back in eq1, you get t=12 hrs.
and distance = st=50×12=600km. Answer choice (ii)

Permutation Combination Probability

Men and task

  1. 6 tasks and 6 persons. task 1 can’t be assigned to either person 1 or 2. task 2 must be assigned to either person 3 or 4. Every person has to be assigned a task. How many ways can the assignment be done?
    1. 144
    2. 180
    3. 192
    4. 360

Imagine these are not ‘tasks’ but chairs. And we’ve to pick candidate for each chair.

chair person choice (number of candidates) choice
1 4 persons (because 1 and 2 out) 4
2 2 person (either 3 or 4) 2
3 previous two chairs took away “2” people, so remaining 4 candidates 4
4 3 candidates 3
5 2 candidate 2
6 1 candidate 1

total choice
=choice for chair#1 AND chair#2 AND…..
but “and” means multiplication
=4 x 2 x 4 x 3 x 2 x 1
=192 ways
Another approach:

chair 1 chair 2 chair number 3 to 6
one chair four candidates one chair two candidates four chairs remaining four candidates
4P1 2P1 4P4

4p1 x 2p1 x 4p4
=4 x 2 x 24
=192 ways. Choice iii.

word arrangement

  1. In how many ways can the letters of the word ASSASSINATION be arranged so that all the S are together?
    1. 10!
    2. 14!/(4!)
    3. 1,51,200
    4. 36,28,800

given word has 13 letters

letter occurs __ times
A 3
S 4
I 2
N 2
T 1
O 1
TOTAL 13

As such there are 13 candidates and 13 seats. but we want 4 s’ to be together. And 13-4=9.
Imagine there are 10 seats: 9 seats for those other letters and 1 seat where those 4 “S” will sit together.
So first, out of those 10 seat, pick this one seat where four “S” can sit together.
Total ways
=(Pick one out of 10 seats for that S group) AND (arrangement for remaining 9 seats)
=10C1 x (arrangement for 9 seats)….eq1
Now let’s just focus on those 9 seats

A 3
I 2
N 2
T 1
O 1
total 9

=9!/(3! x 2! x 2!)
^why this way? Because A repeats 3 times, I repeats 2 times, N repeats 2 times. (Theory was explained in separate article long time ago.)
anyways, back to eq1. total ways
=10C1 x (9!/(3! x 2! x 2!)
=(10) x [9!/(3! x 2! x 2!)]
=151200 hence answer is (iii).

Round table

  1. In how many ways can 15 people be seated around two round tables with sitting capacities 7 and 8 people.
    1. 15!/8!
    2. 7!x8!
    3. (15c8)x6!x7!
    4. 15c8 x 8!

circular arrangement of “n” objects= (n-1)! Ways.
what are we supposed to do here?
=(out of given 15, pick any 8 people) AND (arrange those 8 in a round table) AND (arrange remaining 7 in the second round table)
=15C8 AND (8-1)! AND (7-1)!
=15C8 x (8-1)! x (7-1)! (because AND means multiplication)
=15c8 x 7! x 6! Hence (iii) is the answer.

Probability

  1. In a lottery 10,000 tickets are sold and ten prizes are awarded. What is the probability of not getting a prize if you buy one ticket ?
    1. 9/10,000
    2. 9/10
    3. 999/1000
    4. 9999/10,000

Favorable outcomes meaning out of those 10 tickets, one is yours=10C1=10
Total outcomes= out of those total 10000 tickets, one is yours=10000C1=10000
Hence probability of winning
=favorable outcomes / total outcomes
=10/10000
And probability of NOT winning
=1 MINUS probability of winning
=1-10/10000
=9990/10000
=999/1000 hence answer (iii)

AP-GP

  1. What is the sum of all positive integers lying between 200 and 400 that are multiples of 7?
    1. 8729
    2. 8700
    3. 8428
    4. 8278

Think in your head
7 x 3 =21
7 x 30=210
Therefore 7 x 29 has to be 210-7=203. This is the first number in our series.
so far our series is 203, 210,….. last multiple of “7” before 400
What could be the last number?
7*50=350? Nope, it has to be higher. how about we add another 49 to 350, that could be very close to 400.
7*50 + 7*7=350+49=399 this is the closest multiple of 7, near 400.
And, 7*50 + 7*7=7 (50+7)=7*57
It means our series is going in this fashion:
(7 x 29) + (7 x 30) + …. + (7 x 57)
If I take “7” common then
sum=7 (29 + 30 + …+57)…..eq1=(this will be our final answer)
Now, just focus on the () bracket part. This is a continuous series in arithmetic progression.
Sum of AP
=[average of first and last term] x number of terms
=[(29+57)/2] x 29*
=1247
Plug this value back in eq1
= 7 x 1247 = 8729 hence answer is #1 (8729)
*how did I find number of terms is 29? => because this is a continuous number series: 29-30-31-32….-57
In such series, number of terms will be (last term minus first term + 1)=57-29+1=29 terms.
longer approach:
By trial error you find first term and last term (203 and 399)
after that use “last term”= a+(n-1)*d
where “d”=7 and “a”=203. So you get number of terms “n”
finally sum of AP=n/2 x [2a+(n-1)d].
^but this method will require lengthy calculations. The first method is quicker, slimmer.

Reasoning: Internal Breakup

Direction Sense Test 1
Sitting Arrangement 1
Blood Relation 1
Missing Numbers 2
Coding Decoding 2
Calendar 2

Direction Sense Test

  1. Rajnikanth left his home for office in car. He drove 15 kms straight towards north and then turned east-wards and covered 8 kms He then turned to left and covered 1 km. He again turned left and drove for 20 kms and reached office. How far and in what direction is his office from the home?
    1. 21 kms west
    2. 15 kms north east
    3. 20 kms north west
    4. 26 kms north west

follow direction, make diagram, you’ll get a right side angle whose two sides measure 16km and 12km. Then apply Pythagoras,
AB2+BC2=AC2
Hypotenuse=square root of (162+122)=square root of 400=20km. hence answer (iii)

Sitting arrangement

  1. There are five different houses, A to E, in a row. A is to the right of B and E is to the left of C and right, of A. B is to the right of D. Which of the houses is in the middle?
    1. A
    2. B
    3. C
    4. D

Do the arrangement:

  • A is to the right of B.
  • B is to the right of D

From this two statement, we can make D-B-A
E is to the left of C and right, of A
Apply this in above arrangement
D-B-A-E-C.
Hence “A” is in the middle. Answer (i)

Blood relation

  1. A’s mother is sister of B and daughter of C. D is the daughter of B and sister of E. How is C related to E?
    1. Sister
    2. Mother
    3. Father
    4. Grandmother or Grandfather

aptitude-blood-relation-acio-mcq

  • Arun/Aruna’s mom is sister of Bina.(because we don’t know whether A is male/female).
  • Arun/Aruna’s mom is daughter of Chandu/Chameli. (because we don’t know the gender yet)
  • It means Bina is also the daughter of Chandu/Chameli. (because Bina is sister of Arun/Aruna’s mom)
  • Divya is daughter of Bina. And Sister of Elisha/Ehsan (because we don’t know E’s gender yet)
  • But either way Chanu/Chameli (C) => their daughter Bina (B)==> their son/daughter Elisha/Ehsan (E)
  • Meaning Chandu/Chameli(C) is grandfather or grandmother of E. Answer (iv)

Missing Numbers

  1. Find the missing number in this series: 4, 18, ??, 100, 180, 294
  1. 32
  2. 36
  3. 48
  4. 40

The pattern is: n(n+1)2
Put n=1, n=2,n=3,n=4 and so on
since missing term “??” is at third place in this series. So, Put n=3 then
3(3+1)2= 3*16=48

  1. Which number should replace the question mark?
17 8 5 5
13 7 5 4
6 12 6 3
10 6 4 ??
  1. 4
  2. 5
  3. 6
  4. 7

The pattern is: (from right cell towards left cell in each row)

5*5=25 and 25-8=17.

5*4=20 and 20-7=13

6*3=18 and 18-12=6

like this ans will be 4, because 4*4-6=10

Coding decoding

  1. ACEG : DFHJ:: QSUW
    1. TVNZ
    2. TVZX
    3. TVXZ
    4. XVTZ

Pattern is: Skip one alphabet and start the 2nd analogy after the 2nd alphabet of the 1st word that means 2bd word starts with D which comes after C which is the 2nd alphabet of 1st word.
ABCDEFG : DEFGHIJ :: QRSTUVW : TUVWXYZ .
Answer (iii)

  1. 165135 is to peace as 1215225 is to
    1. lead
    2. love
    3. loop
    4. Aura

the approach:
A =1
B = 2
E = 5
. . .
Z = 26
accordingly: P = 16 , E = 5 A =1 C =3 E = 5
Hence Peace = 16| 5|1|3|5
Now question is: what does 1215225 mean?
And since the options are only 4 letter words
We have to choose with cancelling the options
last two numbers: “25”
It could be |5 OR 25.

  • if last number is “25”, then “Y”. but there is no word ending with “Y” among given choices.
  • it means last number is |5=”E”. Meaning E is the last letter.

so eliminate all options that don’t have “E” as last letter.

  1. lead
  2. love
  3. loop
  4. Aura

thus we’re left with answer (ii) Love. But we should verify:
LOVE = L =12 || O = 15 || V = 22 || E =5 =>1215225 correct.

Calendar

  1. The day before the day before yesterday is three days after Saturday. What day is it today?
    1. Tuesday
    2. Wednesday
    3. Thursday
    4. Friday

Start from end part of the sentence.

this part equal this part
day before the day before yesterday three days after Saturday.
3 days before today. =Three days after Saturday=Sun, Mon, Tuesday.
3 days before today= Tuesday

Meaning Today MINUS 3 days=Tuesday.
Then today has to be Friday.

  1. If the republic day of India in 1980 falls on Saturday. X was born on March 3 1980 and Y is older than X by four days. then Y’s birthday fell on?
    1. Thursday
    2. Friday
    3. Wed.
    4. None of these

first understand the calendar technique from this article click me

  • X born on March 3
  • Y is four days older=>March 3 + 4= 7th March.
  • In short, we’ve to find the day on 7th March 1980.
  • As per the information: Republic day (26th March) 1980= on Saturday.

find the odd days

remaining days in January= 27 to 31 5
February (leap) but b’day is on 28th. 28
total days 33

divide total days (33) by 7= you get 5 as remainder.
Required day (28th Feb)
=Saturday (on 26t Jan) + 5 days 28th Feb
=Saturday+ 5 days
=Thursday.
Verification:
There is site called “dayoftheweek.org”, you enter the date and it’ll tell you its day.
So, as per www.dayoftheweek.org/?m=January&d=26&y=1980&go=Go , 26th Jan 1980 was indeed Saturday
And 28th Feb, 1980 was indeed Thursday.

English internal breakup

sentence correction/meaning 4
idioms-phrases 3
vocabulary/ fill in the blanks 4
total 11

Sentence correction / meaning

  1. Choose the correct sentence among the following
    1. The danger will continue its growth
    2. The danger will continue to grow
    3. The danger will continue its growing
    4. The danger will continue growth

“Continue” should following with “to-infinitive”. Hence Danger will continue to grow. Answer (ii)

  1. Complete the following sentence, This is the best book __
    1. of all others on History
    2. of any other on History
    3. of all on History
    4. of any other in History

Debatable because I’m unable to locate the rule. Your inputs welcome.

  1. Choose the correct sentence among the following,
    1. I have one chance in a thousand of winning tonight
    2. I have one chance in a thousand for winning tonight
    3. I have one in a thousand chances to win tonight
    4. I have one chance in a thousand that I will win tonight

Debatable because I think (iii) but Unable to locate the rule. Your inputs welcome.

  1. Choose the answer that is closest in meaning to the following sentence, Yeuk Yee had her house painted white yesterday
    1. She had to paint her house white yesterday
    2. Her house was not blue last week
    3. They painted her house white for her yesterday
    4. She painted her house yesterday

She had her house painted…meaning she didn’t paint is by herself, she got some other person(s) to get house painted. Therefore, choice #3.

idioms and phrases

  1. Choose the idiom from the following options which means “to be modest about one’s achievements”
    1. to hide one’s light under a bushel
    2. to take to the bush
    3. to hide behind the bush
    4. to beat about the bush

Oxford dictionary website says to hide one’s light under a bushel = keep quiet about one’s talents or accomplishments. Hence #1 is the answer.

  1. Choose the idiom from the options, which means ‘a lot of excitement and discussion about a trivial matter’
    1. A cyclone in the cup
    2. A flood in the tea-cup
    3. A storm in the tea-cup
    4. A flood of air

Storm in the tea-cup= a disturbance or uproar about little or nothing. Hence choice #3.

  1. “What is bred in the bone will come out in the flesh” Choose the meaning that is closest in the meaning to this proverb
    1. Pedigree racing horse will always win
    2. Inherited characteristics cannot be concealed
    3. Good diet in childhood makes for good health in adulthood
    4. Brain washing can change the personality

This proverb means “a person’s behavior or characteristics are determined by heredity.” So, #2 is the closest choice.

Vocabulary

  1. Docility is to surrender as unrest is to —–
    1. education
    2. rebellion
    3. illness
    4. hospital

Docility= the trait of being agreeably submissive. Meaning docile person likely to surrender, similarly unrestful person likely to rebel. Hence choice #2

  1. Mitigate is to punishment as alleviate is to
    1. promotion
    2. change
    3. order
    4. pain

Mitigate punishment = reduce punishment. Alleviate pain = reduce pain. Hence choice #4.

  1. Choose the pair which represents closest the relationship expressed in the original pair in capital letters: MENDACITY HONESTY,
    1. Truth Beauty
    2. Sportsmanship Fortitude
    3. Courageous Craven
    4. Turpitude Depravity

Mendacity=The tendency to be untruthful. = this is opposite of honesty.
craven= An abject coward. So it is opposite of courageous. Answer #3.

  1. Choose the set of words that when inserted in the sentence, best fits the meaning of the sentence as a whole, Unable to ____ his wholehearted distaste for media events and publicity, the miffed minister continued to make ____ comments throughout his speech
  1. conceal , effusive
  2. control ; garbled
  3. disguise, caustic
  4. express , vitriolic

He was unable to disguise his distaste…..kept making caustic (harsh) comments.

Essay

Write an essay in English language only on any one of the following topics in not more than 400 words. (50 marks)

  1. A Communal Conflict Scenario
  2. Causes of Violence in the World
  3. Divide Between ‘India’ and ‘Bharat’
  4. Dimensions of Rural Employment

Just listing the essay so if some future ACIO-2014/2015 aspirant comes to search, he can see it. + Similar topic might even be asked in CAPF 2013 Paper II.
The ACIO-2013 general-awareness answerkey (history, geography etc.) was given separately click me

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अब तक 145 कमेंट्स लिखी गयी

  1. Yuvaraj says:

    thanks for ut update Mural G

  2. rohith says:

    5*5=25
    25-8=17

    5*4=20
    20-7=13

    6*3=18
    18-12=6

    like this ans will be 4
    4*4-6=10

  3. mandeep singh says:

    in the pattern question….
    sum of 1st and second column is equal to the product of third and fourth column..
    ex: 17+8=5*5.
    and also in 2nd row 1st column its 13 not 18… and hence the pattern follows…

  4. shubham says:

    17+8=25,5*5=25
    13+7=20,5*4=20
    12+6=18,6*3=18
    10+6=16,4*4=16

  5. ANil M Tiwari says:

    Hi,

    I think there is typing mistake in 2nd row instead of 2 they have printed 7.

    otherwise the logic is as follows:
    1.5*5-8=17
    2.5*4-2=18
    3.6*3-12=6
    4.4*4-6=10

  6. Hari says:

    The ACIO-2013 general-awareness answerkey (history, geography etc.) was given separately click me

    here in link “mru” of murnal.org is missing please fix it.. thanks for explanation

  7. sam says:

    For the pattern que….very easy….

    5*5=17+8
    5*4=18+7
    6*3=12+6
    4*x=10+6
    Hence answer =4

  8. Hari says:

    sorry “mur” of of murnal.org

  9. Mayank Saxena says:

    In the P&C Question, in those 192 ways there will be cases in which task1 and task2 are both assigned either to person3 or person4. There4 you need to subtract (4!+4!), hence 192-48=144, should b d answer.

    • jayaram says:

      you are absolutely right. answer needs updation

    • RipS says:

      I too think the answer should be 144.

      Seat 2 can be occupied only by TWO people. So Seat 2 can have 2C1 ways of sitting………. (1)

      For each of the above cases, Seat 1 can be occupied by THREE people only, as person I and II are not eligible and either person III or person IV is already occupying Seat 2. So Seat 1 would have only person IV, V and VI OR person III, V and VI eligible to sit on it, depending on who (person III or person IV) is sitting on Seat 2. So Seat 1 can have 3C1 ways of sitting……… (2)

      Once the above steps are completed, we are left with 4 Seats and 4 people, the sitting arrangements of which would be 4! ways……… (3)

      Thus, from (1), (2) and (3), we have, TOTAL = 2C1 X 3C1 X 4! = 2 X 3 X 24 = 144 ways

  10. Caartey says:

    @Mrunal
    Small correction Bro…
    Question is “Y is older to X by 4 days”
    This means Y was born 4 days before(28th Feb) X, not after(7rd March)
    Hence Thursday…

    • thanzeer says:

      u have a small mistake too bro.1980 is leap year feb has 29 days.hence ans is friday

      • Caartey says:

        No i did not…
        I know 1980 is a leap year and it has 29 days
        the 28th Feb i mentioned is for the “Four” days older part…
        Mrunal mentioned Y’s DOB is 7th March
        Older guy is the one who is born before, not after…

        If both are born on 3rd March – no age diff
        if X is 3rd March & Y is 2nd March – Y is 1 day older
        if X is 3rd March & Y is 1st March – Y is 2 days older
        if X is 3rd March & Y is 29th Feb – Y is 3 days older
        if X is 3rd March & Y is 28th Feb – Y is 4 days older

        • Mrunal says:

          you’re right. Birthday answer (28th Feb) is Thursday.
          Answer updated.

          • nikhilsp says:

            In Calender Q.1::: Y is older than X by four days means his(Y)bdy should be 4 days earlier and not after 4 days that of A’ bdy
            This is the best book _==> of all others on History

    • Dusky says:

      U r right.. It should be thursday.. reason being 28th Feb 1980 is his birthday.

  11. kundan says:

    This is the best book __
    1)of all others on History
    2)of any other on History
    3)of all on History
    4)of any other in History

    ALL OTHER and ANY OTHER are used in Comparative form:
    a)comparative + than + all other + plural noun
    b) comparative + than + any other + singular noun
    e.g. he is better than all other boys in the class.
    he is better than any other boy in the class.

    further, An SUV can carry the most people.
    so i think option (3).

    • Dusky says:

      Option (3) is correct. When there is a comparison, we exclude the one we are comparing with others.. ex. This is a better book than any other on history. But with the superlative (ex. Worst, Best) we include the given one with others.. ex. This is the best book of all.

    • Vishnu says:

      I think 3 is the correct answer

  12. Caartey says:

    @Mrunal
    Regarding Que 91
    (i) Article ‘the’ missing between all & other
    (iii) & (iv) any other(s) is used for comparative form not superlative

  13. kundan says:

    Base System: we have find equivalent of 567 , which is greater than 512 (2^9).
    so 512 256 128 64 32 16 8 4 2 1

    1 0 0 0 1 1 0 1 1 1

    as given value is greater than 512 , it should be filled with 1.
    256 = 0 ( since {512 + 256} > 267)
    and so on…

  14. nitesh kuyate says:

    Good 1

  15. Gaurav says:

    Thanks for the Answer key..

  16. Ritesh says:

    In calander question Y is four days older means 3 March-4 days= 29th Feb,,,,?

    • Rahul says:

      28 ko y paida hua fir uske char din bad aata hai 3 march jab x ji paida hue…

    • Caartey says:

      If both are born on 3rd March – no age diff
      if X is 3rd March & Y is 2nd March – Y is 1 day older
      if X is 3rd March & Y is 1st March – Y is 2 days older
      if X is 3rd March & Y is 29th Feb – Y is 3 days older
      if X is 3rd March & Y is 28th Feb – Y is 4 days older

  17. Da Vinci says:

    In sentence correction –
    2. (iii) This is the best book of all on History.
    3. (iv) I have one chance in a thousand that I will win tonight

  18. Anand Tripathi says:

    Hello mrunal sir.first of all thanks a lot for all your stuffs.
    I need some study material for Kendriya Vidyalaya PGT computer Science teacher exam.
    Please provide me some previous year question papers as well for above stated exam through email as soon as possible.and suggest me good books.
    I will be highly obliged to you.

    Thanking You

  19. kundan says:

    Choose the correct sentence among the following,
    1)I have one chance in a thousand of winning tonight
    2)I have one chance in a thousand for winning tonight
    3)I have one in a thousand chances to win tonight
    4)I have one chance in a thousand that I will win tonight

    there is a quote:
    Only one person in a thousand knows the trick of really living in the present. -Storm Jameson

    Further, from a GMAT article :
    I have ONE CHANCE IN A THOUSAND OF WINNING tonight. ( right)

    I have ONE CHANCE IN A THOUSAND FOR WINNING tonight.( wrong)
    >>I have ONE IN A THOUSAND CHANCES TO WIN tonight.(wrong)
    >>I have ONE CHANCE IN A THOUSAND THAT I WILL WIN tonight.( wrong)
    >>I have ONE CHANCE IN A THOUSAND FOR ME TO WIN tonight.(wrong)

    Finally from Collins Cobuild Dictionary:
    1. if there is CHANCE of something HAPPENING, it is possible that it will happen
    e.g. this partnership has a good chance OF success.
    2. if you have a CHANCE TO DO something, you have the opportunity to do it.
    e.g. the electoral council announced that all the eligible people would get a chance TO vote.

    therefore, safe to conclude option (1) is correct.

    • Dusky says:

      It is the right conclusion.. One should read the statement as “I have a chance of winning” other additions are redundant here..

  20. jayaram says:

    question on permutation..
    answer will be 144, coz u should first take the condition which is not affecting other choices.
    first fill 2nd position= 2C1=2
    now for 1st position der r only 3 guys left=3C1=3
    next 4 positions can b filled with 4 guys in 4! ways=24
    thus in total= 2*3*24=144

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  22. Rahul says:

    Mrunal Sir,

    ‘Y‘ 28 feb ko paida hua hai, isliye he is older to ‘x’

    Please correct your key !

  23. nik says:

    Seperate cutoff is prepared for both sections or combine cutoff is prepared…?

  24. Shahid Hassan says:

    Guys…Any idea about the cut off….Pleaze give your guesses based on your exp…am getting 52 based on Mrunal key…..What was the cut off last year….and Mrunal tonnes of thanks to you…God Bless U..

  25. nik says:

    Ques 2 answer is FRIDAY..! Sir plz update answer key…

  26. neha says:

    Answer is thursday @ques2

  27. ALAN VARGHESE MATHEW says:

    Y 4 days older means (March 3 – four days), i.e on February 29 = Thursday…Thank You sir

  28. vikrant says:

    Sir please check

    Y is older than X by four days.

  29. nitin singh says:

    sir with respect to question no 2 on age…Y is older than X by 4 days that means if X was born on 3rd march then Y was born 4 days earlier ie on 28th feb not on 7th march(as u explained).. becoz if Y was born on 7th march he should b 4 days younger nt older….

  30. Indrajit says:

    Tough and puzzling questions. I think the govt. is trying to put all the aspirants of ACIO gr-2 exe. near the edge of the cliff. Half of the answers of certain questions are doubtful. I think the govt. should not make such tough questions for these type of Group-c post exams. Govt. go to hell!

  31. avinash says:

    56/100 Gen. Cat & a decent essay.

    any chnaces

  32. rishi says:

    simple solution assassination
    total 10!

    10!
    _________________ __4!__ =151200
    3!*2!*2! X 4!

  33. yuvaraj says:

    scored around 60 qus , OBC,decent essay.. any chance Mural G?

  34. Vinay says:

    Although in PnC questions we are forced to think based on the choices given.Yet I believe that none of the options given were correct for questions:

    In how many ways can 15 people be seated around two round tables with sitting capacities 7 and 8 people.

    As I think both of the tables are different(based on capacity),thus we have to select one of them as well:
    So answer should be 2c1*15c8*!6*!7

    Mrunal sir please correct me if I am wrong.Thanks a lot for being so kind towards us and serving India by producing best bureaucrats
    for free of cost.

  35. vinay says:

    My score is 68/100..But my essay was not up to the Mark…even last year i corrected 69 but could get through…My CGL score is 95 and C.P.O. SI Is 76…so please help me Guys which exam should i focus more CGL or C.P.O. SI COZ i am having very less time plzzz mrunal i need ur quality suggestion

  36. Bhavna Tanwar says:

    57/100 but hopefully my eassy was good.. dont know what will happen…

  37. Mayank says:

    i dint get d logic behind question no.2 in vocab…i think d answer shud be ‘promote’…

    • kundan says:

      ALLEVIATE means to make something bad such as pain or problems less severe

      The drugs did nothing to alleviate her pain/suffering.

      ALLEVIATE: to make (as suffering) more bearable OR to partially remove or correct
      (her sympathy alleviated his distress)
      (measures taken to alleviate a labor shortage)

      promotion is NOT bad thing or suffering , hence Rejected.

    • Surya says:

      Mayank,

      The question was that
      MITIGATE : PUNISHMENT :: ALLEVIATE : ?
      Here, mitigate’s synonym is alleviate.
      So punishment’s synonym will be pain.
      1 is to 3.
      2 is to 4.
      It is a simple logic.

  38. shruti says:

    why is the geography and history section showing error

  39. kumar says:

    is there any negative marks

    • Surya says:

      There was nothing about negative/penalty marks in the notification, hall ticket or question paper. So still it remains as a big doubt.

  40. vinay says:

    Avinash Bhai i belongs to O.B.C.

    • AVINASH PRASAD says:

      vinay , its better to ask yourself what is the job you are looking for, in my point of view each job is good, your aim depend on your preparation, acording to my priority ssc cgl is the best, your marks are not bad, work hard for mains, you would be definitely successful, just carry on your prepartion, don’t think much about that.

  41. Arti Yadav says:

    thnx sir..:) really helpful.

  42. Ashok Charan says:

    @ Mrunal Sir
    For Q No. 1 in prime numbers u missed once more possibility
    28 yrs (elder) and 19 yrs (Younger)
    Difference is 11 and sum is 47 and both are prime as well.
    So it makes the ans to be 4 combinations.

    • Caartey says:

      Dude are you high…?
      Coz last I checked 28-19 was 9 and not 11
      And
      9 is not a prime

  43. anurag says:

    mrunal gi …. I m from gen. category…got 59/100 and decent essay…..is there an chance for me??

  44. avinash says:

    Bhai logo,

    I am preparing for CPO-SI because it is my dream job, but I am unable to magage the physical test espicaly 1.6kms in 6.5 mins and high jump of 1.2mtr. Please give some important tips to prepare the physical test.I am losing my confidance day by day.My score was 90.5 and I am Gen candidate.
    please reply

  45. KANNA says:

    TOTAL SCORE 60/100 SC WILL I BE ABLE TO CLEAR ACIO DECENT ESAAY

  46. Aspirant says:

    getting 63/100, obc. any chance….

  47. Ashok Charan says:

    73/100 plus not so good essay..OBC…what are the chances?

  48. Surya says:

    Mrunal sir,
    I think that the right choice for QUESTION NO.2 in ENGLISH SENTENCE CORRECTION/MEANING is option (iii), that is – This is the best book “of all on History”. Because, he mentioned the very word “History” begining with a capital letter. So it is absolutely about the subject/discipline of “History”, but not in the view of the normal meaning of the word “history”.
    And thank you for providing/publishing this key paper along with good explanations. Thank you very much sir.

  49. jas says:

    can u tell me about the cut-off ??

  50. srinu says:

    thank you sir and thanks to all others friends

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