Kalpesh Sharma

==>> From height of 8 mts a ball fell down and each time it bounces half the distnace back. What will be the distance traveled?

Ans.: 24

Sol. 8+4+4+2+2+1+1+0.5+0.5+ and etc .. =24

==>> First day of 1999 is Sunday what day is the last day?

Ans.: Monday

==>> Increase area of a square by 69% by what percent should the side be increased.

Ans.: 13

Sol:Area of square=x2
Then area of increase=100+69=169
square root of 169 i.e 13 .

==>> Ten years ago, chandrawathi’s mother was four times older than her daughter. After 10years, the mother will be twice older than daughter. The present age of Chandrawathi is?

Ans.20 years

Sol: Let Chandrawathi’s age 10 years ago be x years.
Her mother’s age 10 years ago = 4x
(4x+10)+10=2(x+10+10)
x=10
Present age of Chandrawathi = (x+10) = 20years

==>> Finding the wrong term in the given series
7, 28, 63, 124, 215, 342, 511

Ans:28

Sol: Clearly, the correct sequence is
2^3 – 1, 3^3 – 1, 4^3 – 1, 5^3 – 1, ……….
Therefore, 28 is wrong and should be replaced by (3^3 – 1) i.e, 26.

==>> In a college ,1/5 th of the girls and 1/8 th of the boys took part in a social camp.What of the total number of students in the college took part in the camp?

Ans: 2/13

Sol: Out of 5 girls 1 took part in the camp
out of 8 boys 1 took part in the camp
so, out of 13 students 2 took part in the camp.
So, 2/13of the total strength took part in the camp.

==>> On sports day,if 30 children were made to stand in a column,16 columns could be formed. If 24 children were made to stand in a column , how many columns could be formed?

Ans. 20

Sol: Total number of children=30*16=480
Number of columns of 24 children each =480/24=20.

==>> Two trains 200mts and 150mts are running on the parallel rails at this rate of 40km/hr and 45km/hr.In how much time will they cross each other if they are running in the same direction.

Ans: 252sec

Sol: Relative speed=45-40=5km/hr=25/18 mt/sec
Total distance covered =sum of lengths of trains =350mts.
So, time taken =350*18/25=252sec.

==>> 5/9 part of the population in a village are males. If 30% of the males are married, the percentage of unmarried females in the total population is:

Ans: (250/9)%

Sol: Let the population =x Males=(5/9)x
Married males = 30% of (5/9)x = x/6
Married females = x/6
Total females = (x-(5/9)x)=4x/9
Unmarried females = (4x/9 – x/6) = 5x/18
Required percentage = (5x/18 * 1/x * 100) = (250/9)%

==>> A radio when sold at a certain price gives a gain of 20%. What will be the gain percent, if sold for thrice the price?

A) 260%
B) 150%
C) 100%
D) 50%
E) None of these

Ans: 260%

Sol. Let x be original cost of the radio.
The solding price = (100+20)x=120x
If , it is sold for thrice the price ,then 3*120x=360x

So, gain percent is (360-100)=260%.

==>> If the Arithmetic mean is 34 and geometric mean is 16 then what is greates number in that series of numbers?

Ans. 64

Sol. Let two numbers be x, y;
Arthmetic mean=34=>( x+y)/2=34
x+y=68
geometric mean=16=>(xy)pow 1/2=16
xy=16*16=256
By trail and error 16*16=64*4

And 64+4/2=34
So the greatest number int hat series is 64.

==>> The diameter of the driving wheel of a bus is 140cm. How many revolutions per minute must the wheel make in order to keep a speed of 66 kmph?

Ans. 250

Sol. Distance to be covered in 1 min=(66*1000)/60 m=1100m
Circumference of the wheel =(2*22/7*0.70)m=4.4m.
So, Number of revolutions per min=1100/4.4=250.

==>> The boys and girls in a college are in the ratio 3:2. If 20% of the boys and 25% of the girls are adults, the percentage of students who are not adults is:??

Ans.78%

Sol: Suppose boys = 3x and girls = 2x
Not adults = (80*3x/100) + (75*2x/100) = 39x/10
Required percentage = (39x/10)*(1/5x)*100 = 78%

==>> Vivek travelled 1200km by air which formed 2/5 of his trip.One third of the whole trip , he travelled by car and the rest of the journey he performed by train. The distance travelled by tain was???

Ans.800km

Sol: Let the total trip be x km.
Then 2x/5=1200
x=1200*5/2=3000km
Distance travelled by car =1/3*3000=1000km
Journey by train =[3000-(1200+1000)]=800km.

=>> A group consists of equal number of men and women. Of them 10% of men and 45% of women are unemployed. If a person is randomly selected from the group. Find the probability for the selected person to be an employee.

Ans:29/40

Sol: Assume men=100,women=100 then employed men & women r (100-10)+(100-45)=145
So probability for the selected person to be an employee=145/200=29/40

=>> Randy's chain of used car dealership sold 16,400 cars in 1998. If the chain sold 15,744 cars in
1999, by what percent did the number of cars sold decrease?

Ans: 4%

Sol. Let percentage of decrease is x , then
16400(100-x)/100=15744
16400-15744=164x
x=656/164=4%

==>> A three digit number consists of 9,5 and one more number . When these digits are reversed and then subtracted from the original number the answer yielded will be consisting of the same digits arranged yet in a different order. What is the other digit?

Sol. Let the digit unknown be n.
The given number is then 900+50+n=950+n.
When reversed the new number is 100n+50+9=59+100n.
Subtracting these two numbers we get 891-99n.
The digit can be arranged in 3 ways or 6 ways.
We have already investigated 2 of these ways.
We can now try one of the remaining 4 ways. One of these is n 95
100n+90+5=891-99n
or 199n =796
so, n=4
the unknown digit is 4.

==>> A farmer built a fence around his 17 cows,in a square shaped region.He used 27 fence poles on each side of the square. How many poles did he need altogether???

Ans.104 poles

Sol. Here 25 poles Must be there on each side .And around four corners 4 poles will be
present. 4*25+4=100+4=104 poles.

==>> On the first test of the semester, kiran scored a 60. On the last test of the semester, kiran scored 75% By what percent did kiran's score improve?

Ans: 25%

Sol. In first test kiran got 60
In last test he got 75.
% increase in test ( 60(x+100))/100=75
0.6X+60=75
0.6X=15
X=15/0.6=25%

***. A cylinder is 6 cms in diameter and 6 cms in height. If spheres of the same size are made from the material obtained, what is the diameter of each sphere?

Ans. 3 cms

***. Mr. and Mrs. Aye and Mr. and Mrs. Bee competed in a chess tournament. Of the three games played:
a) in only the first game were the two players married to each other.
b) The men won two games and the women won one game.
c) The Ayes won more games than the Bees.
d) Anyone who lost game did not play the subsequent game.
Who did not lose a game?

Ans. Mrs. Bee did not lose a game.

***. There are 4 political parties. Day Flight, Eat well, Good Sleep, Deposit Loss. The 3 statements are
a. Either Day Flight or Eat Well will win the election.
b. Day Flight cannot win election.
c. Neither Deposit Loss nor Eat well can win the election.
Only one statement is true while other two are false .who win the election?

Ans. Deposit Loss ( F T F )

***.In a class 80% have passed english,70% passed Hindi 10% didn't passed
either. If 144 students passed both. What is the total strength of the class.

Ans. 240

***. A die is thrown twice what is the probability that you get same number

Ans. 11/36.

***. A family X went for a vacation. Unfortunately it rained for 13 days when they were there. But whenever it rained in the mornings, they had clear afternoons and vice versa. In all they enjoyed 11 mornings and 12 afternoons. How many days did they stay there totally?

Ans. 18

***. Ann, Boobie, Cathy and Dave are at their monthly business meeting. Their occupations are author, biologist, chemist and doctor, but not necessarily in that order. Dave just told the biologist that Cathy was on her way with doughnuts.
Ann is sitting across from the doctor and next to the chemist. The doctor was thinking that Boobie was a goofy name for parent's to choose,but didn't say anything. What is each person's occupation?

Ans. Since Dave spoke to the biologist and Ann sat next to the chemist and across the doctor, Cathy must be the author and Ann the biologist.The doctor didn't speak, but David did, so Bobbie is the doctor and Dave the chemist.

***. The minute and the hour hand of a watch meet every 65 minutes. How much does the watch lose or gain time and by how much?

Ans. Gains; 5/11 minutes

***. The Bulls, Pacers, Lakers and Jazz ran for a contest. Anup, Sujit, John made the following statements regarding results.
· Anup said either Bulls or Jazz will definitely win
· Sujit said he is confident that Bulls will not win
· John said he is confident that neither Jazz nor Lakers will win
When the result came it was found that only one of the above three had made a correct statement. Who has made the correct statement and who has won the contest.

Ans. Sujith; Lakers

***. A man leaves office daily at 7pm. A driver with car comes from his home to pick him from office and bring back home. One day he gets free at 5:30 and instead of waiting for driver he starts walking towards home. In the way he meets the car and returns home on car. He reaches home 20 minutes earlier than usual. In how much time does the man reach home usually?

Ans. 1hr 20min

***. One of Mr. Horton,his wife,their son,and Mr. Horton's mother is a doctor and another is a lawyer.
a)If the doctor is younger than the lawyer, then the doctor and the lawyer are not blood relatives.
b)If the doctor is a woman, then the doctor and the lawyer are blood relatives. c)If the lawyer is a man, then the doctor is a man.
Whose occupation you know?

Ans. Mr. Horton:he is the doctor.

***. Find the least number when divided by 7 gives the reminder 6, when divided by 6 gives reminder 5, when divided by 5 gives reminder 4 and so on....

Ans. 419

***. If a person walks at 4/5th of his usual speed he reaches 40min late. If he walks at his usual speed how much time does he travels.

Ans. 160min

Ex. Let V = his speed, D = distance and T = time so V=D/T (1)
But, (4/5)*V=D/(T+40) (2)

Comparing D, (4/5)*V*(T+40) = V*T solving T=160

--

***. Two trains starting at same time, one from Bangalore to Mysore and other in opposite direction arrives at their destination 1 hr and 4 hours respectively after passing each other. How much faster is one train from other?

Ans. Twice

***. A train and A Cyclist reach a station every day at the same time. One day the Cyclist starts 20 minutes late from his house. On his way to station the train crosses him at 5 miles before station. The speed of cyclist is 12mph. find the speed of the train.

Ans.60mph

***. Every day a cyclist meets a train at a particular crossing. The road is straight. The cyclist travels with a speed of 10 kmph. One day the cyclist comes late by 25 min and meets the train 5 km from the crossing. What is the speed of the train?

Ans. 60 kmph.

***. A certain type of mixture is prepared by mixing brand A at Rs.9 a kg. with brand B at Rs.4 a kg. If the mixture is worth Rs.7 a kg., how many kgs. of brand A are needed to make 40kgs. of the mixture?

Ans. Brand A needed is 24kgs.

***. In the given figure, PA and PB are tangents to the circle at A and B respectively and the chord BC is parallel to tangent PA. If AC = 6 cm, and length of the tangent AP is 9 cm, then what is the length of the chord BC?

Ans. BC = 4 cm.

***. Three cards are drawn at random from an ordinary pack of cards. Find the probability that they will consist of a king, a queen and an ace.

Ans. 64/2210.

***. A person with some money spends 1/3 for cloths, 1/5 of the remaining for food and 1/4 of the remaining for travel. He is left with Rs 100. How much did he have with him in the beginning?

Ans. 250 Ex. (x/3)+(2x/15)+(8x/60)+100=x

***. Mr. x (got award in 1971) died when his age was 1/59th the year of birth. What was his date of birth?

Ans. 1947 Ex. X+(X/59) > 1971 so X > 1938 Then by trial and error.

***. Grass grows equally thick and in a uniform rate. It takes 24 days for 70 cows and 60 days for 30 cows to eat the whole of the grass. How many cows are needed to eat the grass in 96 days?

Ans. 20
g - grass at the beginning
r - rate at which grass grows, per day
y - rate at which one cow eats grass, per day
n - no of cows to eat the grass in 96 days
g + 24*r = 70 * 24 * y
g + 60*r = 30 * 60 * y
g + 96*r = n * 96 * y
Solving, n = 20.

Ex. From first two equations convert g and r into terms of y. Then put it in equation 3.

***. There N stations on a railroad. After adding X stations on the rail route 46 additional tickets have to be printed. Find N and X.

Ans. x=2 and N=11 Initially, N (N-1) = t after adding, (N+X)(N+X-1) = t+46

***. There are some chickens in poultry. They are fed with corn. One sack of corn will come for 9 days. The farmer decides to sell some chicken and wanted to hold 12 chickens with him. He cuts the feed by 10% and sack of corn comes for 30 days. So initially how many chicken are there?

Ans. 36

Ex. Let there were originally N chickens.
Corn eaten by 1 chicken in 1 day = 1/(N*9)
After, Corn eaten by 1 chicken in 1 day = 1/(12*30) = 1/360

1/(N*9) = 1/360 + ((1/360)*0.1)