Friday, October 19, 2018

Special Occasion - Special Restart

My dear Aspirants,
       My heartfelt deep apologies for pausing this work of Aptitude. On this auspicious day of Vijayadhasami, a day of good start, let us restart and resume the work more energetically and vigorously. Let us have a good number of questions on this wonderful day. We have successfully completed 300 questions as of today and the past 9 weeks posts of our blog. Let's wait for our next milestone achievement of 100 posts and 1000 questions soon!!! :) Keep Supporting us!!! HAPPY VIJAYADHASAMI!!


If Neena says "Anitha's father Raman is the only son of my father-in-law Mahipal", then how is Bindhu, who is the sister of Anitha, related to Mahipal?
Only son of Neena's Father in Law Mahipal is Neena's Husband.
So, Raman is Neena's husband and Anitha & Bindhu are his daughters.
Thus, Bindhu is the grand - daughter of Mahipal.


A man leaves for his office from his house. He walks towards East. After moving a distance of 20m, he turns South and walks 10m. Then he walks 35m towards the West and further 5m towards the North. He then turns towards East and walks 15m. What is the straight distance in metres between his initial and final positions?


The movements of the man is shown in the above figure. Clearly, DC = AB + EF. F is also in the line of A. AF = (BC - DE) = 5m.
So, the man is 5m away from his initial position. 


The positions of how many digits in the number 321465987 will remain same when the digits are arranged in Ascending Order?
Original Number - 3 2 1 4 6 5 9 8 7
Ascending Order - 1 2 3 4 5 6 7 8 9
Clearly, the positions of 2, 4, 8 remain unaltered.


Aman is 16th from the left end in a row of boys and Vivek is 18th from the right end. Gagan is 11th from Aman towards the right and 3rd from Vivek towards the right end. How many boys are there in the row?

Vivek is 18th from the right end and Gagan is 3rd to the right of Vivek. So, Gagan is 15th from the right end. Thus, there are 15 boys to the left of Aman, 10 boys between Aman and Gagan and 14 boys to the left of Gagan. 
So, the number of boys in the row = 15 + 1 + 10 + 1 + 14 = 41


In a Cricket match, five batsmen A, B, C, D and E scored an average of 36 runs. D scored 5 more runs than E. E scored 8 fewer than A. B scored as many as D and E combined and B & C scored 107 runs between them. How many runs did E score?
Total runs scored = 36 * 5 = 180
Let the runs scored by E be x.
Runs scored by D = x + 5 
Runs scored by A = x + 8 ( E = A - 8 )
Runs scored by B = 2x + 5 (B = D + E )
Runs scored by C = 107 - B = 107 - 2x  - 5 = 102 - 2x
So, total runs, (x + 8) + (2x + 5 ) + (102 - 2x) + (x+5) + x = 180
3x + 120 = 180
3x = 60
x = 20
Runs scored by E is 20


Which would be the proper order of the following in Ascending Order?
Trillion, Thousand, Billion, Hundred, Million

Hundred, Thousand, Million, Billion, Trillion.


Find the relationship. (27, 9, 54), (42, 14, 84), (?, 7, 42)
We have, (27 + 54) / 9 = 9 and (42+84) / 14 = 9.
Hence, (x+42) / 7 = 9; x = 21



If in an Examination hall, you find that the question paper is too tough to be answered satisfactorily by you, the best thing to do for you is,
a) tell the examiner that the questions are out of course
b) provoke the candidates to walk out of the examination hall
c) try to know something from your neighbor
d) try to solve the questions as much as you know with a cool head

Clearly, an ideal student shall never be expected to create a row over such an issue or try to copy the answers. Also, a situation can best be tackled by not creating panic rather trying to solve it with a cool head. So, the answer is d.


Assertion (A) : Telephone wires sag more in Summer
Reason (R) : They expand due to Summer heat
a) Both A and R are true and R is the correct explanation
b) Both A and R are true and R is not the correct explanation
c) A is true but R is false
d) A is false but R is true
e) Both A and R are false

The metal of telephone wires expands in Summer and the wires become loose. So, they sag. Hence, the answer is a.


Statement : Should Coal Engines be replaced by Electric Engines in Trains?
Arguments:
I. Yes. Coal Engines cause a lot of Pollution.
II. Yes. Electric Engines are good on performance, easy to operate and low on maintenance.
III. No. India does not produce enough electricity to fill its domestic needs also.

a) All are strong
b) Only I and II are strong
c) Only II and III are strong
d) Only I and III are strong
e) Only I is strong

Clearly, electric engines shall be smoke-free and thus not cause pollution as the coal engines. They also run at higher speeds and perform better. Thus, both I and II hold strong. Argument III does not provide a convincing reason and hence does not hold strong. So, the answer is b.



__________, the more they remain the same.
a) The more the merrier
b) The less the dynamism
c) The more things change
d) The more pronounced the transformation


The highest reward for a man's toil is not what he gets for it, but what __________.
a) he makes out of it
b) he gets for others
c) he has overcome through it
d) he becomes by it


Though one eye is kept firmly on the __________, the Company now also promotes __________ contemporary art.
a) present, experimental
b) future, popular
c) present, popular
d) market, popular


__________ and ecstasy are the two sides of a puzzle called life. 
a) Pain
b) Penury
c) Agony
d) Anguish
e) Elation


A __________ of fresh air relaxes a tense mind.
a) breathe
b) volley
c) gulp
d) breath
e) brush


Because Raj is so __________, we can never predict what he will do at any moment.
a) old
b) immature
c) capricious
d) lazy
e) dormant


Greg Chappell was impressed by the __________ of the youthful Railways team.
a) ardor
b) corpulence
c) languor
d) impertinence
e) turbulence


The story of the novel, The Deranged, is very __________. It shows how a man cut off from the world for a long time becomes a mad man
a) absorbing
b) irritating
c) controversial
d) useless
e) derived


A careful __________ of the premises revealed some useful clues.
a) autopsy
b) incarceration
c) examination
d) incineration
e) emphases


Raman's __________ record collection included everything from Bach to rock.
a) effusive
b) raphsodic
c) eclectic
d) inherent
e) refulgent




A third of Arul's mark in Mathematics exceeds a half of his marks in English by 30. If he got 240 marks in the two subjects together, how many marks did he get in English?
Let the Math and English marks be x and y respectively.
1/3x -1/2y = 30
(2x - 3y) / 6 = 30
2x - 3y = 180  ----- (1)
x + y = 240 -------- (2)

Solving 1 and 2,
x = 180.
So, English Marks y = 240 - 180 = 60.


If 4/5 of an estate be worth Rs. 16,800, then the value of 3/7 of the estate is _______.
4/5x = 16800
x = 16800 * 5/4 = 21000
3/7x = 3/7 * 21000 = 9000


The sum of three consecutive multiples of 3 is 72. What is the largest number?
Let the three numbers be x, 3x+3 and 3x+6 respectively.
3x + 3x+3 + 3x+6 = 72
9x + 9 = 72
9x = 63
x=7
So, the largest number is 3x + 6 = 21 + 6 = 27.


My brother is three years elder to me. My father was 28 years of age when my sister was born while my mother was 26 years of age when I was born. If my sister was 4 years of age when my brother was born, then what was the age of my father and mother respectively when my brother was born?
Clearly, my brother was 3 years before when I was born and 4 years after my Sister was born. So, father's age when brother was born = 28 + 4 = 32 years and
mother's age when brother was born = 26 - 3 = 23 years


A salesman's commission is 5% on all sales upto Rs. 10,000 and 4% on all sales exceeding this. He remits Rs. 31,100 to his parent company after deducting his commission. Find the total sales. 
Let the total sales be .
Total Sales - Commission = 31100
x - 5% of 10000 + 4% of (x-10000) = 31100
x - [(5/100 * 10000) + (4/100 (x-10000)) ]= 31100
x - 500 - x/25 + 400 = 31100
x - x/25 = 31200
( 25x - x ) / 25 = 31200
24x = 780000
x = 32,500


After getting two successive discounts, a shirt with a list price of Rs. 150 is available at Rs. 105. If the second discount is 12.5%, find the first discount. 
Let the first discount be x%.
Then 87.5% of (100-x)% of 150 = 105
87.5/100 * (100-x / 100) * 150 = 105
100 - x = (105 * 100 * 100) / (87.5*150)
100 - x = 80
x = 20
The first discount is 20%.


A, B and C enter into partnership. A invests 3 times as much as B invests and B invests two third of what C invests. At the end of the year, the profit earned is Rs. 6600. What is the share of B?
Let C's capital be x. Then B's capital is 2/3x.
A's capital is 3 * 2/3x = 2x
Ratio of capitals = 2 : 2/3 : 1 = 6 : 2 : 3
So, B's share = 2/ 11 * 6600 = Rs. 1200.


If 15 men, working 9 hours a day, can reap a field in 16 days. In how many days will 18 men reap the field, working 8 hours a day?
Let the number of days be x.
More men, less days ----- Indirect Proportion
Less hours per day, more days ----- Indirect Proportion
Men :: Hours :: (Days)
18 : 15 :: 8 : 9 :: (16 : x)
18 * 8 * x = 15 * 9 * 16
x = 15 * 9 * 16 / ( 18 * 8)
x = 15 days.


A man can row upstream at 7kmph and downstream at 10kmph. Find man's rate in still water and rate of current.
Rate in still water = 1/2 (10 + 7) = 17/2 = 8.5kmph
Rate of current = 1/2 ( 10 - 7) = 3/2 = 1.5kmph


The perimeters of two squares are 40cm and 32cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares.
Side of 1st square = 40/4 = 10cm
Side of 2nd square = 32/4 = 8cm
Area of third square = 100 - 64 = 36cm²
Side of the third square = √36 = 6cm
Perimeter of the third square = 6 * 4 = 24cm.

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