## Report

#### Question No 1

HYPOTENUSE is to PERIMETER as ARC is to..

Solution!
No answer description available for this question..

#### Question No 2

64% of the children in school are girls.What percentage are boys?

Solution!
100 - 64 = 36%.

#### Question No 3

A shopkeeper bought an article for \$120 and sold at profit of 10%. What is selling price of the article?

Solution!
10% of 120!= (120*10)/100 = 12! !Selling price = 120+12 = 132.

#### Question No 4

INGRATE is to GRATITUDE as PROFLIGATE is to..

Solution!
No answer description available for this question..

#### Question No 5

A train 108 m long moving at a speed of 50 km/hr crosses a train 112 m long coming from opposite direction in 6 seconds. The speed of the second train is

Solution!
Let the speed of the second train be x km/hr.! !Relative speed = (x + 50) km/hr!= (x+50)*(5/18) m/s!= (250+5x)18 m/s! !Distance covered = (108 + 112) = 220 m! !So, 220/[(250 + 5x) /18] = 6!250 + 5x = 660! !Hence, x = 82 km/hr.

#### Question No 6

Choose the word that is a necessary part of the word "lightning"

Solution!
Lightning is produced from a discharge of electricity, so electricity is essential. Thunder and rain are not essential to the production of lightning (choices b and d). Brightness may be a byproduct of lightning, but it is not essential (choice c)..

#### Question No 7

The average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg.Find the average weights of all the boys in the class.

Solution!
! !In this question weighted average is calculated rather than simple average! !(50.25*16 + 45.15*8)/(16+8) = 48.55.

#### Question No 8

If A + B means A is the brother of B; A % B means A is the father of B and A x B means A is the sister of B. Which of the following means M is the uncle of P?

Solution!
M + K = M is the brother of K! !K % T = K is the father of T! !T x P = T is the sister of P! !Therefore, K is the father of P and M is the uncle of P..

#### Question No 9

Find the odd man out.

Solution!
No answer description available for this question..

#### Question No 10

One morning Udai and Vishal were talking to each other face to face at a crossing. If Vishal's shadow was exactly to the left of Udai, which direction was Udai facing?

Solution!
No answer description available for this question..

#### Question No 11

A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present?

Solution!
Let the mother's present age be x years.! !Then,! the person's present age = (2/5)x years.! !(2/5)x + 8 = (1/2)(x + 8)!2(2x + 40) = 5(x + 8)!x = 40!.

#### Question No 12

X is 4 times as old as y. 4 years ago, X was 10 times as old as Y. What will be the ratio of their ages 6 years hence?

Solution!
Given that!X = 4Y ...(1)! !and!X-4 = 10(Y-4)!X-4 = 10Y-40!X-10Y = -36!10Y-X = 36 ...(2)! !Put value of X from equation(1) in equation(2)!10Y-4Y = 36!6Y = 36!Y = 6! !Put value of Y in equation(1)!X = 4*6!X = 24! !After 6 years!Y = 24+6!Y = 30!and!X = 6+6!X = 12! !Ratio between X and Y is!30/12 = 5/2! !Hence after 6 years ratio between ages of X and Y will be 5/2..

#### Question No 13

What is the angle between the hands of a clock at 2:30?

Solution!
Hour hand is nearly at 2!Minute hand is at 6! !Angle between 2 and 6 is 120 degree.! !Hour hand move 1/2 degree in one minute.! !In 30 Minutes hour hand will move 1/2 * 30 = 15 degree! !Hence, Angle between hands is 120 - 15 = 105 degree.

#### Question No 14

A and B are sisters. C and D are brothers. A is the mother of D, what is the relation of B to C.

Solution!
As A is mother of D so A is also mother of C because C and D are brothers.! !B is sister of A which means B is Aunt of both C and D..

#### Question No 15

If 1/2 x year ago A was 12 and 1/2 x years from now he will be 2x years old, how old will he be 3x years from now?

Solution!
Given that!A-(1/2)x = 12!2A-x = 24 ...(1)!and!A+(1/2)x = 2x!A+(1/2)x-2x = 0!A+(x-4x)/2 = 0!A-(3/2)x = 0!2A-3x = 0 ...(2)!By simultaneously solving equation(1) and (2) we have!x = 12!and!A = 18! !Now!3x = 3*12 = 36! !After 3x years A will be!18+36 = 54 years old.

#### Question No 16

0 , 1 , 4 , 9 , 16 , 25 , 36 , 49 , ?

Solution!
Add 1, 3, 5, 7, etc..

#### Question No 17

A train 100 meters long crosses a 150 meters long bridge in 25 seconds. What is the speed of the train?

Solution!
Length of the train = L1 = 100m!Length of the bridge = L2 = 150m!Time = t = 25s! !v = (L1+L2)/t!By putting values!v = (100+150)/25!v = 250/25 = 10m/s = 10*(18/5) = 36 Km/h! !Hence speed of the train is 36 Km/h..

#### Question No 18

In a Zoo deers and lions are in ratio of 5/2. If there are 20 deers how many lion are there?

Solution!
20 is 4 times of 5 So in this way 4 times of 2 will be 8..

#### Question No 19

0 , 100 , 6 , 94 , 12 , 88 , 18 , 82 , ? , ?

Solution!
There are two sequences interwoven.! !Add 6 starting at 0 and deduct 6 starting at 100..

#### Question No 20

A takes twice as much time as B or thrice as much time as C to finish a piece of work.Working together,they can finish the work in 2 days.B can do the work alone in

Solution!
Suppose A, B and C take x, x/2, x/3 days respectively to finish the work.! !Then,!(1/x + 2/x + 3/x) = 1/2!6/x = 1/2!x=12! !So, B takes (12/2) = 6 days to finish the work..

#### Question No 21

Some articles were bought at 6 articles for Rs. 5 and sold at 5 articles for Rs. 6. Gain percent is

Solution!
Suppose, number of articles bought =L.C.M. of 6 and 5!= 30! !C.P. of 30 articles = (5/6) * 30 = Rs. 25! !S.P. of 30 articles = (6/5)*30! = Rs. 36! !Hence, Gain % = (11/25) * 100 = 44%.

#### Question No 22

John can swim at the speed of 20 km/h in still water and speed of water is 3 km/h. What is his swimming speed with water?

Solution!
John's speed in still water = u = 20 Km/h!Speed of water = v = 3 Km/h!John's speed with water = u+v = 20+3 = 23 Km/h.

#### Question No 23

DEVANGIRI is to CYRILLIC as HINDI is to..

Solution!
No answer description available for this question..

#### Question No 24

What was the day of the week on 28th May, 2006?

Solution!
28 May, 2006 = (2005 years + Period from 1.1.2006 to 28.5.2006)! !Odd days in 1600 years = 0! !Odd days in 400 years = 0! !5 years = (4 ordinary years + 1 leap year) = (4 x 1 + 1 x 2) = 6 odd days! !From January to 28 May (31 + 28 + 31 + 30 + 28 ) = 148 days! !So, 148 days = (21 weeks + 1 day) = 1 odd day.! !Total number of odd days = (0 + 0 + 6 + 1) = 7 = 0 odd day.! !Hence Given day is Sunday.

#### Question No 25

The speed of a boat in still water in 15 km/hr and the rate of current is 3 km/hr. The distance travelled downstream in 12 minutes is

Solution!
Speed downstream = (15 + 3) kmph = 18 kmph! !Distance travelled = 18 * (12/60)km = 3.6 km.

#### Question No 26

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

Solution!
A's 1 day's work = 1/15! !B's 1 day's work = 1/20! !(A + B)'s 1 day's work = (1/15 + 1/20) = 7/60! !(A + B)'s 4 day's work = (7/60 * 4) = 7/15! !Therefore, Remaining work = (1 - 7/15) = 8/15.

#### Question No 27

100 , 96.75 , 93.5 , 90.25 , 87 , ?

Solution!
Deduct 3.25 each time..

#### Question No 28

On 8th Dec, 2007 Saturday falls.What day of the week was it on 8th Dec, 2006?

Solution!
The year 2006 is an ordinary year. So, it has 1 odd day.! !So, the day on 8th Dec, 2007 will be 1 day beyond the day on 8th Dec, 2006.! !But, 8th Dec, 2007 is Saturday.! !Hence, 8th Dec, 2006 is Friday..

#### Question No 29

1 , 1 , 2 , ? , 24 , 120 , 720

Solution!
Multiply by 1, 2, 3 and so on....

#### Question No 30

If A is the brother of B; B is the sister of C; and C is the father of D, how D is related to A?

Solution!
If D is Male, the answer is Nephew.! !If D is Female, the answer is Niece.! !As the sex of D is not known, hence, the relation between D and A cannot be determined.! !Note;! Niece - A daughter of one's brother or sister, or of one's brother-in-law or sister-in-law.!Nephew - A son of one's brother or sister, or of one's brother-in-law or sister-in-law..

#### Question No 31

A works twice as fast as B.If B can complete a work in 12 days independently,The number of days in which A and B can together finish the work in

Solution!
Ratio of rates of working of A and B = 2/1! !So, ratio of times taken = 1/2! !B's 1 day's work = 1/12! !A's 1 day's work = 1/6!(2 times of B's work)! !(A + B)'s 1 day's work = (1/6 + 1/12) = 1/4! !So, A and B together can finish the work in 4 days..

#### Question No 32

What is Antonym of ARTIFICIAL ?

Solution!
No answer description available for this question..

#### Question No 33

A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train?

Solution!
Speed = 72 * (5/18)m/s!= 20 m/s! !Time = 26 sec! !Let,!the length of the train be x metres! !Then,!(x+250)/26 = 20! !x + 250 = 520!x = 270.

#### Question No 34

A can do a piece of work in 4 hours; B and C together can do it in 3 hours,while A and C together can do it in 2 hours.How long will B alone take to do it?

Solution!
A's 1 hour's work = 1/4! !(B + C)'s 1 hour's work = 1/3! !(A + C)'s 1 hour's work = 1/2! !(A + B + C)'s 1 hour's work = (1/4 + 1/3) = 7/12! !B's 1 hour's work = (7/12 - 1/2) = 1/12! !Hence, B alone will take 12 hours to do the work..

#### Question No 35

Pointing to a girl Sandeep said, "She is the daughter of the only sister of my father." How is sandeep related to the girl?

Solution!
The girl is the daughter of the sister of Sandeep's father.! !Hence, the girl is the cousin or Sandeep is the cousin of the girl..

#### Question No 36

A train of length 150 metres is running at the speed of 20m/s. In what time will it cross a 130 metre long bridge?

Solution!
Length of the train = L1 = 150m!Length of bridge = L2 = 130m!Speed = v = 20m/s! !t = (L1 + L2)/v!t = (150+130)/20!t = 14! !Hence the train will pass the 130 meter long bridge in 14 seconds..

#### Question No 37

Choose the word that is a necessary part of the word "harvest"

Solution!
To harvest something, one must have a crop, which is the essential element for this item. Autumn (choice a) is not the only time crops are harvested. There may not be enough of a crop to stockpile (choice b), and you can harvest crops without a tractor (choice c)..

#### Question No 38

What is 35% of 250?

Solution!
35 * (250/100) = 87.5! !Quick way to find answer from options is! !33% of 250 is nearly 83(250/3 = 83.3)! !So, answer should be in 80's which is only one option 87.5.

#### Question No 39

What is the angle between the hands of a clock at 4:20 pm?

Solution!
At 4:20 hour hand is nearly at 4 but not perfectly at 4.!Minute hand is at 4! !If both hands are at 4 then angle is 0 degree.! !Hour hand move 1/2 degree in one minute.! !In 20 Minutes hour hand will move 1/2 * 20 = 10 degree! !Hence, Angle between hands is 0 + 10 = 10 degree.

#### Question No 40

Which one of the following is always associated with 'tree'?

Solution!
No answer description available for this question..

#### Question No 41

cup is to lip as bird is to..

Solution!
Cup is used to drink something with the help of lips.! Similarly birds collects grass with the help of beak to make her nest..

#### Question No 42

Price of a fuel increased by 10% during budget. If its price before budget was Rs. 55 per liter what is its price after the budget?

Solution!
10% of 55 = (55*10)/100 = 5.5! !Price of fuel after butget = 55+5.5 = 60.5.

#### Question No 43

The difference of the ages of two brothers is 2 and the difference of the square of their ages is 16. The age of smaller one is?

Solution!
Let present age of elder brother is y and present age of younger brother is x.! !Given that!y-x = 2 ...(1)! !and!(y^2)-(x^2) = 16!(y+x)(y-x) = 16! !Put value of (y-x) from equation(1)!2(y+x) = 16!y+x = 8 ...(2)! !By simultaneously solving equation(1) and equation(2) we have!y = 5!and!x = 3! !Hence present age of younger brother is 3 years..

#### Question No 44

X & Y are the parents of Z but Z is not the son of X. What is Z to X.

Solution!
X and Y are parents of Z. But Z is not the son of X its mean Z is the daughter of X..

#### Question No 45

Choose the word which is different from the rest.

Solution!
All except Chicken can live in water..

#### Question No 46

The product of the ages of two class fellows is 24. If the greater fellow is 3/2 times the smaller one, then the age of the smaller fellow is

Solution!
Let present age of the greater fellow is x and present age of smaller fellow is y.! !Given that xy = 24 ...(1)!and! !x = (3/2)y!Put value of x in equation(1).! !(3/2)y^2 = 24!y^2 = 24*(2/3)!y^2 = 16!y = 4! !Hence age of smaller fellow is 4 years..

#### Question No 47

P, the daughter of K is married to G, X and G are brothers, on the basis of this information tell how P is related to G.

Solution!
"P, the daughter of K is married to G" means P is wife of G..

#### Question No 48

The average age of A and B is 20. If C were to replace A, the average would be 19, and if B was replaced by C, the average would be 21. The age of C is

Solution!
Given that!(A+B)/2 = 20!A+B = 40 ...(1)! !and!(C+B)/2 = 19!C+B = 38 ...(2)! !and!(A+C)/2 = 21!A+C = 42 ...(3)! !Put value of A from equation(1) in equation(3)!(40-B)+C = 42!C-B = 2 ...(4)! !By simultaneously solving equation(2) and equation(4)!C = 20! !Hence C is 20 years old..

#### Question No 49

If a light flashes every 6 seconds, how many times will it flash in 3/4 of an hour?

Solution!
3/4 of an hour = 3/4 * 60 * 60 = 2700! !Light will flash in 6 seconds = 2700/6 = 450 times.

#### Question No 50

If one third of the staff at school are teachers find the ratio between teachers to non-teachers.

Solution!
ratio of teachers = 1/3! !ratio of non-teachers = 2/3! !Ratio of teachers to non-teachers = (1/3) * (3/2) = 1/2.

#### Question No 51

Pointing towards a girl, Abhisek says, "This girl is the daughter of only a child of my father." What is the relation of Abhisek's wife to that girl?

Solution!
Only the child of my father means 'Abhisek' himself.!This means the girl is the daughter od Abhisek.! !Hence, Abhisek's wife is the mother of the girl..

#### Question No 52

If a man takes two hours to row 3 km upstream or 15 km downstream then the speed of current is?

Solution!
Upstream distance covered in 2 hours = 3Km!Distance covered in 1 hour = 3/2 = `1.5 Km!So,!Upstream speed = 1.5 Km/h!Downstream distance covered in 2 hours = 15Km!Distance covered in 1 hour = 15/2 = 7.5Km! !Downstream speed = 7.5 Km/h! !Now!Speed of water = (1/2)*(7.5-1.5) = 3 Km/h.

#### Question No 53

The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age will be twice that of his son. What is the ratio of their present ages?

Solution!
Let the age of the son before 10 years = x!and age of the father before 10 years = 3x! !Now we can write as (3x + 20) = 2(x + 20)!x = 20! !Age of Father the son at present = x + 10!= 20 + 10 = 30! !Age of the father at present = 3x + 10!= 3 * 20 + 10 = 70! !Required ratio = 70/30 = 7/3.

#### Question No 54

Which number is the odd one out, 8, 27, 64, 100, 125, 216, 343

Solution!
All others are perfect cube of any number but 100 is not the perfect cube of any number..

#### Question No 55

Find the odd man out.

Solution!
Atheist are the people who do not believe in God..

#### Question No 56

what is Antonym of CHECK ?

Solution!
No answer description available for this question..

#### Question No 57

Which number is the odd one out, 10, 25, 45, 54, 60, 75, 80

Solution!
Each of the numbers except 54 is multiple of 5..

#### Question No 58

What is the difference of the product and the quotient of 8 and 8?

Solution!
8*8 = 64!and!8/8 = 1!So,!64 - 1 = 63.

#### Question No 59

CRITERIA is to DATA as CRITERION is to..

Solution!
No answer description available for this question..

#### Question No 60

Today is Monday.After 61 days, it will be ...