IQ Test, Mental Aptitude, Logical Reasoning & Mathematical Tests

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Question No 1

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

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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 2

15 men were hired to plough a piece of land in 10 days. How many more men will be required to do the same job in 3 days?

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Solution!
x/15 = 10/3! !x = (10/3)*15! x = 50.! !So more number of men required = 50-15 = 35.

Question No 3

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..

Question No 4

Sachin's age after 15 years will be 5 times his age 5 years back. Find out the present age of Sachin?

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Solution!
Let the present age of Sachin = x! !Then (x+15) = 5(x-5)!4x = 40!x = 10.

Question No 5

11th of April falls on Tuesday, what day will the last day of the month April occurs.

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Solution!
Tuesday will be on 11, 18 and 25 then 30th April will be on Sunday..

Question No 6

Hussey introduced a girl to his friend and said, "Her mother is the only daughter of my Mother-in-law". What is the girl to Hussey?

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Solution!
"Girl's mothers is only daughter of my mother-in-law" means Girls mother is the wife of Hussey. So Hussey is father of the girl..

Question No 7

PENURY is to MONEY as STARVATION is to..

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Solution!
No answer description available for this question..

Question No 8

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 9

SLUGGARD is to ENERGY as SLATTERN is to..

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Solution!
No answer description available for this question..

Question No 10

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 11

A is thrice as good as a workman as B and therefore is able to finish a job in 60 days less than B.Working together,they can do it in

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Solution!
Ratio of times taken by A and B = 1/3! !The time difference is (3 - 1) 2 days while B take 3 days and A takes 1 day.! !If difference of time is 2 days, B takes 3 days.! !If difference of time is 60 days, B takes (3/2 * 60) = 90 days! !So, A takes 30 days to do the work.! !A's 1 day's work = 1/30! !B's 1 day's work = 1/90! !(A + B)'s 1 day's work = (1/30 + 1/90) = 4/90 = 2/45! !Hence, A and B together can do the work in 45/2 = 22.5 days.

Question No 12

How many seconds will a 500 metre long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?

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Solution!
Speed of the train relative to man = (63 - 3) km/hr!= 60 km/hr = 60 * (5/18)m/s!= (50/3)m/s! !Hence, Time taken to pass the man!= 500 * (3/50)s!= 30 seconds.

Question No 13

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 14

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 15

In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is

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Solution!
Speed in still water!= 1/2(11+5) km/h = 8 km/h.

Question No 16

Deepak said to Nitin, "That boy playing with the football is the younger of the two brothers of the daughter of my father's wife." How is the boy playing football related to Deepak?

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Solution!
Father's wife = mother.! !Hence, the daughter of the mother means sister and sister's younger brother means brother.! !Therefore, the boy is the brother of Deepak..

Question No 17

What is average of 3, 5 and 10?

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Solution!
(3+5+10)/3 = 18/3 = 6.

Question No 18

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 19

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

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Solution!
The essential part of a monopoly is that it involves exclusive ownership or control..

Question No 20

Controversy always involves

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Solution!
No answer description available for this question..

Question No 21

Joseph's speed of rowing in still water is 12 km/h and he finds that it takes him twice as long to row up as to row down the river. Find the speed of water in the river.

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Solution!
Let speed of water is x.!Speed in still water = u = 12 Km/h! !As downstream speed is double of upstream speed! !(12+x) = 2(12-x)!12+x = 24-2x!3x = 12!x = 4! !Hence speed of water is 4 Km/h..

Question No 22

Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is

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Solution!
Let the length of each train be x metres.! !Then, distance covered = 2x metres.! !Relative speed = (46 - 36) km/hr!= 10 * (5/18)m/s!= 25/9 m/s!So, 2x/36 = 25/9!= 2x = 100! !Hence, x = 50.

Question No 23

Six years ago, the ratio of the ages of Kunal and Sagar was 6/5. Four years hence, the ratio of their ages will be 11/10. What is Sagar's age at present?

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Solution!
Let the ages of Kunal and Sagar 6 years ago be 6x and 5x years respectively.! !Then,![(6x + 6) + 4]/[(5x + 6) + 4] = 11/10!10(6x + 10) = 11(5x + 10)!5x = 10!x = 2! !Hence, Sagar's present age = (5x + 6) = 16 years..

Question No 24

John's mother is sister of David's brother. What is John to David?

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Solution!
David is brother of John's mother.! !So John is nephew of David..

Question No 25

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

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

Question No 26

Choose the word which is different from the rest.

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Solution!
All except Director spend money..

Question No 27

Tree is to Forest as Grass is to?

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Solution!
As Tree is found in Forest similarly Grass is found in Lawn..

Question No 28

Candid is to indirect as honest is to..

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Solution!
Candid and indirect refer to opposing traits. Honest and untruthful refer to opposing traits..

Question No 29

Pointing to a woman, Abhijit said, "Her granddaughter is the only daughter of my brother." How is the woman related to Abhijit?

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Solution!
Daughter of Abhijit's brother = niece of Abhijit.! !Thus the granddaughter of the woman is Abhijit's niece.! !Hence, the woman is the mother of Abhijit..

Question No 30

Choose the word which is different from the rest.

Select the correct answer


Solution!
Swan is the only water bird in the group..

Question No 31

What was the day of the week on 17th June, 1998?

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Solution!
17th June, 1998 = (1997 years + Period from 1.1.1998 to 17.6.1998)! !Odd days in 1600 years = 0! !Odd days in 300 years = (5 x 3) = 1! !97 years has 24 leap years + 73 ordinary years.! !Number of odd days in 97 years ( 24 x 2 + 73) = 121 = 2 odd days.! !From January to 17 June (31 + 28 + 31 + 30 + 31 + 17) = 168 days! !168 days = 24 weeks = 0 odd day.! !Total number of odd days = (0 + 1 + 2 + 0) = 3.! !Hence Given day is Wednesday..

Question No 32

Which of the following is not a leap year?

Select the correct answer


Solution!
The century divisible by 400 is a leap year.! !So, The year 600 is not a leap year..

Question No 33

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 34

A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit?

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Solution!
C.P. = (100/122.5) * 392!= (1000/1225) * 392!= Rs. 320! !Hence, Profit = Rs. (392 - 320) = Rs. 72..

Question No 35

100 , 96.75 , 93.5 , 90.25 , 87 , ?

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Solution!
Deduct 3.25 each time..

Question No 36

Average of 4 numbers is 24. What is the sum of the four numbers?

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Solution!
x/4 = 24!x = 24*4!x = 96.

Question No 37

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 38

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.

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

Question No 39

Ten years ago, P was half of Q in age. If the ratio of their present ages is 3/4, what will be the total of their present ages?

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Solution!
Let the present age of P and Q be 3x and 4x respectively.! !Ten years ago, P was half of Q in age.! !(3x - 10) = 1/2 * (4x - 10)!6x - 20 = 4x - 10!2x = 10!x = 5! !total of their present ages!= 3x + 4x = 7x = 7 * 5!= 35.

Question No 40

Secretly is to openly as silently is to..

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Solution!
Secretly is the opposite of openly, and silently is the opposite of noisily..

Question No 41

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

Select the correct answer


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

Question No 42

The total age of A and B is 12 years more than the total age of B and C. C is how many year younger than A?

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Solution!
Given that A+B = 12 + B + C! !A - C = 12 + B - B = 12! !C is younger than A by 12 years..

Question No 43

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 44

Find the odd man out.

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Solution!
No answer description available for this question..

Question No 45

If Preety's daughter is my son's mother, if I am male what am I to Preety?

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Solution!
I am the husband of Preety's daughter because she is mother of my son. So Preety is my mother-in-law..

Question No 46

What is 15 multiplied by 11?

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Solution!
15 * 11 = 165.

Question No 47

9 excavators working 10 hours a day remove 2500 cubic feet of earth in 3 days. How many excavators working 6 hours a day are required to remove 5000 cubic feet of earth in 2 days?

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Solution!
Let x excavators are required.!As excavators are inversely proportional to hours and days and directly proportional to work progress so!x/9 = (10/6)*(5000/2500)*(3/2)!x = 45! !Hence 45 excavators are required to remove 5000 cubic feet of earth..

Question No 48

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 49

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

Select the correct answer


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

Question No 50

Race is to Fatigue as Fast is to?

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Solution!
As the result of Race is Fatigue similarly the result of Fast is Hunger..

Question No 51

The ages of C and D are in 6/11 and E is 6 years younger than D. If the sum of ages is 134, then what is the age of D?

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Solution!
Given that!C/D = 6/11!C = (6/11)D ...(1)! !and!C+D+E = 134! !As E is 6 years younger from D so we can put D-6 instead of D!C+D+D-6 = 134!C+2D = 140!Put value of C from equation(1)!(6/11)D+2D = 140!6D+22D = 140!28D = 1540!D = 55! !Hence D is 55 years old..

Question No 52

The miser gazed ...... at the pile of gold coins in front of him.

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Solution!
No answer description available for this question..

Question No 53

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

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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 54

In a fort there is enough food sufficient for 1200 men for 10 days. How long the food would have last for if there would have been 1000 men.

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Solution!
Let food will last for x days.!As men and days are inversely proportional to each other so!x/10 = 1200/1000!x = 12! !Hence food will last for 12 days if there were 1000 men..

Question No 55

Ali bought a house for $450000 and sold it for $500000. What is his profit percentage?

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Solution!
Profit = 500000-450000 = 50000! !Profit percentage= (50000/450000)*100 = 11.11%.

Question No 56

What is average of 12 , 15 and 18?

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Solution!
(12+15+18)/3 = 45/3 = 15.

Question No 57

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

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Solution!
1.99 * 3 = $5.97.

Question No 58

What is the angle between the hands of a clock at 9 o'clock?

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Solution!
At 9 o'clock the minute hand points to 12 and hour hand points to 9.! !Angle between 9 and 12 at the clock is 90 degree..

Question No 59

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

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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 60

Choose the word which is different from the rest.

Select the correct answer


Solution!
All except Scallop live in shells..
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