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Question No 1

C's mother was four times as old as C ten years ago. After 10 years she will be twice as old as C is now. How old C is now?

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Solution!
Let C's present age is x and his mother's age is y.! !Given that!y = 4(x-10)!y = 4x-40!4x-y = 40 ...(1)! !and!y+10 = 2x!2x-y = 10 ...(2).! !By simultaneously solving equation(1) and equation(2) we find! x = 15! !Hence C is 15 years old..

Question No 2

A is the father of B, but B is not A's daughter. Establish relationship of B with A.

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Solution!
A is father of B but B is not daughter of A, then B must be son of A..

Question No 3

What is the cost of three tapes at $1.99 each?

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Solution!
1.99 * 3 = $5.97.

Question No 4

A train 110 metres long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?

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Solution!
Speed of train relative to man = (60 + 6) km/hr = 66 km/hr.!= 66 * (5/18) = (55/3)m/s! !Hence, Time taken to pass the man!= 110 * (3/55) = 6 seconds.

Question No 5

Cost price of a camera was $430 and it was sold at profit of 16%. What is its selling price?

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Solution!
16% of 430 = (430*16)/100 = 68.8! !Selling price = 430 + 68.8 = 498.8.

Question No 6

A child was accompanying a woman. On being asked who the boy was, the woman said, His mother was the only daughter of my mother. How has the boy related to the woman?

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Solution!
Woman's mother's only daughter means she is talking about herself. So she is the mother of the child..

Question No 7

A girl accompanied a woman. on being asked who the girl was, the woman replied. "She is the daughter of the wife of my mother's only son". How was the girl related to woman?

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Solution!
Woman's mother's only son means her brother and the girl is daughter of her brother.!So the girl is niece of the woman..

Question No 8

Amit said - "This girl is the wife of the grandson of my mother". How is Amit related to the girl?

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Solution!
The girl is the wife of grandson of Amit's mother i.e., the girl is the wife of son of Amit.! !Hence, Amit is the father-in-law of the girl..

Question No 9

What is the average of 8, 13, 25, 43, and 11?

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Solution!
(8+13+25+43+11)/5 = 100/5!= 20.

Question No 10

Peacock is to India as Bear is to?

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Solution!
As Peacock is the national bird of India, similarly Bear is the national animal of Russia..

Question No 11

Rahul put his timepiece on the table in such a way that at 6 P.M. hour hand points to North. In which direction the minute hand will point at 9.15 P.M. ?

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Solution!
No answer description available for this question..

Question No 12

Sachin is younger than Rahul by 7 years. If their ages are in the respective ratio of 7/9, how old is Sachin?

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Solution!
Let Rahul's age be x years.! !Then,!Sachin's age = (x - 7) years.! !(x-7)/x = 7/9!9x - 63 = 7x!2x = 63!x = 31.5! !Hence, Sachin's age =(x - 7)= 24.5 years.

Question No 13

Pointing to a photograph Lata says, "He is the son of the only son of my grandfather." How is the man in the photograph related to Lata?

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Solution!
The man in the photograph is the son of the only son of Lata's grandfather i.e., the man is the son of Lata's father. Hence, the man is the brother of Lata..

Question No 14

Alfred buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, his gain percent is

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Solution!
Cost Price (C.P.) = (4700 + 800) = Rs. 5500! !Selling Price (S.P.) = Rs. 5800! !Gain = (S.P.) - (C.P.) = (5800 - 5500) = Rs. 300! !Gain % = (300/5500) * 100 = 60/5 %.

Question No 15

Which of the following is the least number which is divisible by both 12 and 18?

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Solution!
Least common multiple of 12 and 18 is 36.

Question No 16

A train is running at the speed of 70 km/h. How far will it travel in 2.5 hrs?

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Solution!
Speed = v = 70 Km/h!Time = t = 2.5h!Distance = S = v*t = 70*2.5 = 175Km.

Question No 17

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

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Solution!
Pain is suffering or hurt, so choice d is the essential element. Without hurt, there is no pain. A cut (choice a) or a burn (choice b) may cause pain, but so do many other types of injury. A nuisance (choice c) is an annoyance that may or may not cause pain..

Question No 18

2664/12/6=?

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Solution!
(2664/12) * (1/6) = 37.

Question No 19

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

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

Question No 20

Which year has the same calendar as 1700 ?

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Solution!
Year 1700 has 1 odd day!1701 has 1 odd day!1702 has 1 odd day!1703 has 1 odd day!1704 has 2 odd day!1705 has 1 odd day! !Hence, 1706 will has same calender..

Question No 21

DAPPLED is to SPOTS as RIDDLED is to..

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Solution!
No answer description available for this question..

Question No 22

Father is aged three times more than his son Ronit. After 8 years, he would be two and a half times of Ronit's age. After further 8 years, how many times would he be of Ronit's age?

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Solution!
Let Ronit's present age be x years. Then, father's present age =(x + 3x) years!= 4x years.! !(4x + 8) = 5/2 (x+8)!8x + 16 = 5x + 40!3x = 24!x = 8! !Hence, required ratio = (4x+16)/(x+160)!= 48/24 = 2.

Question No 23

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?

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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 24

Choose the word which is different from the rest.

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Solution!
All except Explosion are natural calamities..

Question No 25

What is synonym of CANNY ?

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Solution!
No answer description available for this question..

Question No 26

Which of the following is not a leap year?

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Solution!
The century divisible by 400 is a leap year.! !So, The year 700 is not a leap year..

Question No 27

What will be the day of the week 15th August, 2010?

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Solution!
15th August, 2010 = (2009 years + Period 1.1.2010 to 15.8.2010)! !Odd days in 1600 years = 0! !Odd days in 400 years = 0! !9 years = (2 leap years + 7 ordinary years) = (2 x 2 + 7 x 1) = 11 odd days = 4 odd days.! !From January to 15 August (31 + 28 + 31 + 30 + 31 + 30 + 31 + 15) = 227 days! !227 days = (32 weeks + 3 days) = 3 odd days.! !Total number of odd days = (0 + 0 + 4 + 3) = 7.! !Hence, Given day is Sunday..

Question No 28

If x = 8*89 and y = 8*85, What is the value of x-y ?

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Solution!
(8*89) - (8*85)!=8*(89 - 85)!=8*(4)=!32.

Question No 29

Two trains, each 100 m long, moving in opposite directions, cross each other in 8 seconds.If one is moving twice as fast the other, then the speed of the faster train is

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Solution!
Let the speed of the slower train be x m/sec! !Then,!speed of the faster train = 2x m/sec! !Relative speed = (x + 2x) m/sec = 3x m/sec! !So, (100+100)/8 = 3x!24x = 200!x = 25/3! !So, speed of the faster train = 50/3 m/s!= (50/3 * 18/5)!= 60km/hr.

Question No 30

INGRATE is to GRATITUDE as PROFLIGATE is to..

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Solution!
No answer description available for this question..

Question No 31

PORTION is to DOSE as FOOD is to..

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Solution!
No answer description available for this question..

Question No 32

Yesterday I saw an ice cube which had already melted due to heat of a nearby furnace.

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Solution!
Since the ice cube had already melted due to the heat of a nearby furnace so after this ice cannot remain as ice cube..

Question No 33

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

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

Question No 34

If P $ Q means P is the brother of Q; P # Q means P is the mother of Q; P * Q means P is the daughter of Q in A # B $ C * D, who is the father?

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Solution!
A is the mother of B, B is the brother of C and C is the daughter of D.! !Hence, D is the father..

Question No 35

A man rowing a boat covers an average distance of 7.5 km/h. What is the distance covered after 40 minutes?

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Solution!
Distance covered in 60 minutes = 7.5 Km!Distance covered in 1 minute = 7.5/60 = 1/8 Km! !Distance covered in 40 minutes = (1/8)*40 = 5 Km.

Question No 36

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

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

Question No 37

A is two years older than B who is twice as old as C. The total of the ages of A, B and C is 27.How old is B?

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Solution!
Let C's age be x years. Then, B's age = 2x years. A's age = (2x + 2) years.! !So, (2x + 2) + 2x + x = 27!5x = 25!x = 5! !Hence, B's age = 2x = 10 years.

Question No 38

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?

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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 39

An accurate clock shows 8 o'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?

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Solution!
Angle traced by the hour hand in 6 hours = (360/12)*6 = 180 degree.

Question No 40

Find the odd man out.

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Solution!
All except holiday make the same meanings..

Question No 41

A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?

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Solution!
Whole work is done by A in (20 * 5/4) = 25 days! !Now, (1 - 4/5) i.e., 1/5 work is done by A and B in 3 days.! !Whole work will be done by A and B in (3 x 5) = 15 days.! !A's 1 day's work = 1/25!(A + B)'s 1 day's work = 1/15! !So, B's 1 day's work = (1/15 - 1/25) = 4/150 = 2/75! !Hence, B alone would do the work in 75/2 = 37.5 days..

Question No 42

The sum of the present ages of a mother and daughter is 63. Three years back if the age of the mother was double that of the daughter, then the present age of the daughter is

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Solution!
Let mother's present age is x and daughters present age is y! !Given that!x+y = 63 ...(1)!and! !x-3 = 2(y-3)!x-3 = 2y-6!x-2y = -6+3!x-2y = -3 ...(2)! !By simultaneously solving equation(1) and equation(2) We'll find!y = 22! !Hence present age of the daughter is 22 years..

Question No 43

A father is 15 times as old as his son. however, 18 years later, he will be only thrice as old as the son. What is the father's present age?

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Solution!
Let present age of the son is x and present age of Father is y.! !Given that!y = 15x!15x-y = 0 ...(1)! !and also given that!y+18 = 3(x+18)!y+18 = 3x+54!y-3x = 36 ...(2)! !By simultaneously solving equation(1) and equation(2)!y = 45! !Hence father's present age is 45 years..

Question No 44

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

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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 45

A group of workers can do a piece of work in 24 days. However as 7 of them were absent it took 30 days to complete the work. How many people actually worked on the job to complete it?

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Solution!
Let x workers are required to complete the job.!As workers and days are inversely proportional to each other so!(x-7)/x = 24/30!30x - 210 = 24x!6x = 210!x = 35! !Hence 35 workers are required to complete the job in time..

Question No 46

What is the angle between the two hands of a clock when the time shown by the clock is 5:30 p.m. ?

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Solution!
q = 11/2 m ? 30h = 11/2 *30 - 30 *5 = 165-150 = 15 degree! ! .

Question No 47

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

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

Question No 48

My ten years old niece is taller than my twelve years old son..

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Solution!
No answer description available for this question..

Question No 49

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

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

Question No 50

4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?

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Solution!
Let, 1 man's 1 day's work = x!and!1 woman's 1 day's work = y! !Then, 4x + 6y = 1/8 nd 3x + 7y = 1/10! !Solving the two equations, we get!x = 11/400!y = 1/400! !So, One woman's 1 day's work = 1/400! !10 women's 1 day's work = (1/400 * 10) = 1/40! !Hence, 10 women will complete the work in 40 days..

Question No 51

On selling 17 balls at $720, there is a loss equal to the cost price of 5 balls.The cost price of a ball is

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Solution!
(C.P. of 17 balls) - (S.P. of 17 balls) = (C.P. of 5 balls)! !C.P. of 12 balls = S.P. of 17 balls = $720! !C.P. of 1 ball = $60.

Question No 52

Which of the following is a leap year?

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Solution!
The century divisible by 400 is a leap year.! !So, The year 800 is a leap year..

Question No 53

What is Antonym of RIBALD ?

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Solution!
No answer description available for this question..

Question No 54

What is 3206 divided by 7?

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Solution!
3206 / 7 = 458! !No need to perform complete devision first digit comes 4 after devision and there is only one option in which first digit is 4..

Question No 55

Choose the word which is different from the rest.

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Solution!
All except Feathers are organs for movement in different organisms..

Question No 56

100 , 96.75 , 93.5 , 90.25 , 87 , ?

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Solution!
Deduct 3.25 each time..

Question No 57

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. The ratio of their present ages is

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Solution!
Let the ages of father and son 10 years ago be 3x and x years respectively.! !Then,!(3x + 10) + 10 = 2[(x + 10) + 10]!3x + 20 = 2x + 40!x = 20!So, 3x + 10 = 70!and x + 10 = 30! !Hence, ratio is 70/30 = 7/3..

Question No 58

Carbon is to Diamond as Corundum is to?

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Solution!
As Diamond is made of Carbon similarly Ruby is made of Corundum..

Question No 59

A train travelling at the speed of 10m/s can cross a bridge in 23 seconds. If length of the train is 120 meters. What is length of the bridge?

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Solution!
Speed = v = 10m/s!Time = t = 23s!Length of train = L1 = 120m!Length of bridge = L2 = ?! !t = (L1+L2)/v!By putting values!23 = (120+L2)/10!L2 = 230 - 120 = 110m! !Hence bridge is 110m long..

Question No 60

A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 5 km in stationary water?

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Solution!
Rate downstream = (1/10) * 60 km/hr = 6 km/hr! !Rate upstream = 2 km/hr! !Speed in still water = (1/2)(6 + 2) km/hr = 4 km/hr! !Hence, Required time = 5/4 hrs = 1 hr 15 min..
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