IQ Test, Mental Aptitude, Logical Reasoning & Mathematical Tests

20 Minutes Test

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Test Report

Question No 1

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?

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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 2

DAPPLED is to SPOTS as RIDDLED is to..

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Solution!
No answer description available for this question..

Question No 3

If the number 5r2 is divisible by 6, then r = ?

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Solution!
572 is completely divisible by 6..

Question No 4

Play is to actor as concert is to..

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Solution!
An actor performs in a play. A musician performs at a concert..

Question No 5

College is to Student as Hospital is to?

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Solution!
As Students read in College similarly Patients are treated in Hospital..

Question No 6

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 7

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

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

Question No 8

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

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

Question No 9

If 14th August falls on Monday, then what will be the day on 14th September.

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Solution!
Monday will fall on 14, 21 and 28th August. By taking into account that August has 31 days 1st September will be fall on Friday. So, 7th and 14th September will be on Friday..

Question No 10

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

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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 11

A can do a certain work in the same time in which B and C together can do it.If A and B together could do it in 10 days and C alone in 50 days,then B alone could do it in

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Solution!
(A + B)'s 1 day's work = 1/10! !C's 1 day's work = 1/50! !(A + B + C)'s 1 day's work = (1/10 + 1/50) = 6/50 = 3/25...(1)! !A's 1 day's work = (B + C)'s 1 day's work .... (2)! !From (1) and (2), we get!2 * (A's 1 day's work) = 3/25! !A's 1 day's work = 3/50! !So, B's 1 day's work (1/10 - 3/50) = 2/50 = 1/25! !Hence, B alone could do the work in 25 days..

Question No 12

By how many degrees does the minute hand move in the same time, in which the hour hand move by 280?

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Solution!
28 * 2 * 6 = 336 degree.

Question No 13

The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is

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Solution!
Let!C.P. of each article be Re. 1 C.P. of x articles = Rs. x.! !S.P. of x articles = Rs. 20.! !Profit = Rs. (20 - x)! !So, (20-x)/x * 100 = 25!2000 - 100x = 25x!125x = 2000! !Hence, x = 16.

Question No 14

How many years have 29 days in February from 2001 to 2100.

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Solution!
100th year is not a leap year.!So 24 February's has 29 days..

Question No 15

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 16

Find the odd man out.

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Solution!
All except wheel are name of wishes..

Question No 17

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 18

In a class the ratio of boys to girls is 1/3. What percent of students are girls?

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Solution!
Percentage of girls in class = (3/4)*100 = 75%.

Question No 19

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?

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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 20

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?

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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 21

Pointing a photograph X said to his friend Y, "She is the only daughter of the father of my mother." How X is related to the person of photograph?

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Solution!
'The only daughter of the father of X's mother' means mother of X.! !Hence X is the son of the lady in the photograph..

Question No 22

Pointing towards a man, a woman said, "His mother is the only daughter of my mother." How is the woman related to the man?

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Solution!
Only daughter of my mother = myself.! !Hence, the woman is the mother of the man..

Question No 23

Multiply 72 by 15.

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Solution!
72 * 15 = 1080! !Other way is! !72 * 10 = 720!and!720 / 2 = 360! !720 + 360 = 1080.

Question No 24

What is the angle between the hands of a clock at 7:05 am?

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Solution!
At 7:05 hour hand is nearly at 7!Minute hand is at 1! !Angle between 7 and 1 is 180 degree.! !Hour hand move 1/2 degree in one minute.! !In 5 Minutes hour hand will move 1/2 * 5 = 2.5 degree! !Hence, Angle between hands is 180 - 2.5 = 177.5 degree.

Question No 25

What is 9 multiplied by 8?

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Solution!
9 * 8 = 72.

Question No 26

How many non-leap years are there from 1801 to 1900?

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Solution!
Leap year comes after 4 years!In one century there will be 24 leap years! !Hence, there will be 76 non leap years from 1801 to 1900..

Question No 27

A boat covers a certain distance downstream in 1 hour, while it comes back in 1.5 hours. If the speed of the stream be 3 kmph, what is the speed of the boat in still water?

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Solution!
Let the speed of the boat in still water be x kmph.! !Then,!Speed downstream = (x + 3) kmph! !Speed upstream = (x - 3) kmph! !So, (x + 3) * 1 = (x - 3)* 3/2!2x + 6 = 3x - 9! !Hence, x = 15 kmph.

Question No 28

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 29

If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be

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Solution!
Let, 1 man's 1 day's work = x!and 1 boy's 1 day's work = y! !Then, 6x + 8y = 1/10!and 26x + 48y = 1/2! !Solving these two equations, we get!x = 1/100!and y = 1/200! !(15 men + 20 boy)'s 1 day's work = (15/100 + 20/200) = 1/4! !Hence, 15 men and 20 boys can do the work in 4 days..

Question No 30

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 31

South is to North-West as West is to?

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Solution!
As North-West is 135 degree clockwise from South in the same were North-East is 135 degree clockwise from the West..

Question No 32

DEVANGIRI is to CYRILLIC as HINDI is to..

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Solution!
No answer description available for this question..

Question No 33

A clock is started at noon. By 10 minutes past 5, the hour hand has turned through

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Solution!
Angle traced by hour hand in 12 hrs = 360 degree! !Angle traced by hour hand in 5 hrs 10 min. i.e., 31/6 hrs = (360/12 * 31/6) = 155 degree.

Question No 34

A boat travels at the speed of 25 km/h upstream and 35 km/h downstream. Find the speed of water.

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Solution!
Upstream speed = y = 25 Km/h!Downstream speed = x = 35 Km/h!Speed of water = (1/2)*(x-y)!= (1/2)*(35-35) = 5 Km/h.

Question No 35

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

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Solution!
1.99 * 3 = $5.97.

Question No 36

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 37

A, B and C can complete a piece of work in 24, 6 and 12 days respectively.Working together,they will complete the same work in

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Solution!
As we know that!If A can do a piece of work in n days, then A's 1 day's work = 1/n! !(A + B + C)'s 1 day's work = (1/24 + 1/6 + 1/12) = 7/24! !If A's 1 day's work = 1/n then,!A can finish the work in 'n' days.! !So, all the three together will complete the job in (24/7) days..

Question No 38

If P + Q means P is the brother of Q; P x Q means P is the wife of Q and P % Q means P is the daughter of Q then which of the following means D is the uncle of A?

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Solution!
No answer description available for this question..

Question No 39

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 40

Find the correctly spelt word.

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Solution!
No answer description available for this question..

Question No 41

Sandeep's age after six years will be three-seventh of his father's age. Ten years ago the ratio of their ages was 1/5. What is Sandeep's father's age at present?

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Solution!
Let the age of Sandeep and his father before 10 years be x and 5x respectively.! !Given that Sandeep's age after six years will be three-seventh of his father's age! !x + 16 = (3/7)(5x + 16)!7x + 112 = 15x + 48!8x = 64!x = 8! !Sandeep's father's present age = 5x + 10!= 5*8 + 10 = 50.

Question No 42

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

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

Question No 43

Kamal's age is 1/6 of his father's age. If kamal's 8th birthday was celebrated 2 years ago, what is father's present age?

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Solution!
Let Kamal's present age is x and his father's present age is y.! !Given that!y = 6x ...(1)! !and!x-2 = 8!x = 10! !Put value of x in equation(1)!y = 6*10!y = 60! !Hence father's present age is 60 years..

Question No 44

Find the odd man out.

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Solution!
Cineraria is not a disease..

Question No 45

A is Son of B but B is not the father of A. Who is B?

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Solution!
B is female and she is mother of A.

Question No 46

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 47

Choose the word which is different from the rest.

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Solution!
All except Scallop live in shells..

Question No 48

100 , 96.75 , 93.5 , 90.25 , 87 , ?

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Solution!
Deduct 3.25 each time..

Question No 49

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

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Solution!
A desert is an arid tract of land. Not all deserts are flat (choice d). Not all deserts have cacti or oases (choices a and c)..

Question No 50

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 51

Find the odd man out.

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Solution!
No answer description available for this question..

Question No 52

At present, the ratio between the ages of Arun and Deepak is 4/3. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present ?

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Solution!
Let the present ages of Arun and Deepak be 4x years and 3x years respectively.! !Then,!4x + 6 = 26!4x = 20!x = 5! !Hence, Deepak's age = 3x = 15 years..

Question No 53

Cup is to coffee as bowl is to..

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Solution!
Coffee goes into a cup and soup goes into a bowl..

Question No 54

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 55

A and B are children of D. Who is the father of A? To answer this question which of the statements (1) and (2) is necessary? (1) C is the brother of A and the son of E. (2) F is the mother B.

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Solution!
A and B are children of D.! !From (1), C is the brother B and son of E.! !Since, the sex of D and E are not known. Hence (1) is not sufficient to answer the question.! !From (2). F is the mother of B. Hence, F is also the mother of A. Hence D is the father of A.! !Thus, (2) is sufficient to answer the question..

Question No 56

John can read 8 pages of a book in 7 minutes, how long will he take to read 40 pages?

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Solution!
40/8 = 5! !As pages are increased 5 times. So minutes will also increase 5 time.! !7 * 5 = 35.

Question No 57

A man walks 5 km toward south and then turns to the right. After walking 3 km he turns to the left and walks 5 km. Now in which direction is he from the starting place?

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Solution!
No answer description available for this question..

Question No 58

The Average age of a class of 22 subjects in 21 years. The average increased by 1 when the teacher's age also included. What is the age of the teacher?

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Solution!
Total age of all students = 22 * 21 = 462! !Total age of all students + age of the teacher = 23 * 22 = 506! !Age of the teacher = 506 - 462 = 44.

Question No 59

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 60

An article was sold at a loss of 15% for $476. What is the cost price of the article?

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Solution!
Let cost price of the article is x.!15% of x = (15x)/100 = 3x/20! !Now!(3x/20) + 476 = x!3x+9520 = 20x!9520 = 17x!x = 560! !Hence cost price of the article is $560..
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