# IQ Test, Mental Aptitude, Logical Reasoning & Mathematical Tests

### Test Report

#### Question No 1

The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be

Solution!
Let the present ages of son and father be x and (60 -x) years respectively.! !Then,!(60 - x) - 6 = 5(x - 6)!54 - x = 5x - 30!6x = 84!x = 14! !Hence, Son's age after 6 years = (x+ 6)!= 20 years.

#### Question No 2

Find the odd man out.

Solution!
No answer description available for this question..

#### Question No 3

100 , 96.75 , 93.5 , 90.25 , 87 , ?

Solution!
Deduct 3.25 each time..

#### Question No 4

In a box ratio of DVD to VCD is 2/3. Which of the following cannot be the total number of CD's in the box?

Solution!
As 2+3 = 5, So total number of CD's must be multiple of 5.! !In the options all are multiple of 5 except 11! !So 11 is the correct answer..

#### Question No 5

Pen is to poet as needle is to..

Solution!
A pen is a tool used by a poet. A needle is a tool used by a tailor..

#### Question No 6

Find the odd man out.

Solution!
Rock is a non-living thing..

#### Question No 7

John's fail to pass ratio in mathematics test is 5/2. In how many tests did he pass if total tests conducted were 42?

Solution!
Pass ratio = (2/7)*42 = 12.

#### Question No 8

Average of 3 numbers is 15. What is the sum of 3 numbers?

Solution!
Let sum is x. ! !x/3 = 15!x = 15*3 = 45.

#### Question No 9

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 10

Secretly is to openly as silently is to..

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

#### Question No 11

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

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 12

What is the angle between the minute hand and the hour hand when the time is 1540 hours?

Solution!
Hour hand is nearly at 3!Minute hand is at 8! !Angle between 3 and 8 is 150 degree.! !In 40 Minutes hour hand will move 1/2 * 40 = 20 degree! !Hence, Angle between hands is 150 - 20 = 130 degree.

#### Question No 13

The sum of ages of 5 children born at the intervals of 3 years each is 50 years. Find out the age of the youngest child?

Solution!
Let the age of the youngest child = x! !Then the ages of 5 children can be written as x, (x+3), (x+6),(x+9) and (x+12).! !Then,!X + (x+3) + (x+6) + (x+9) + (x+12) = 50!5x + 30 =50!5x = 20!x = 20/5 = 4.

#### 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

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

Yard is to inch as quart is to..

Solution!
A yard is a larger measure than an inch (a yard contains 36 inches). A quart is a larger measure than an ounce (a quart contains 32 ounces)..

#### Question No 16

With an increase of 12% salary of Ali became Rs13440. What was his salary before increase?

Solution!
Let before increase Ali's salary was x.!12% of x = 12x/100 = 3x/25! !Now!13440 - 3x/25 = x!336000 - 3x = 25x!336000 = 28x!x = 12000! !Hence Ali's salary before increase was Rs. 12000.

#### Question No 17

2012 January 1st is Sunday,then which day is the Indian Independence day of the same year.

Solution!
30+ 29+ 31 + 30 + 31 + 30 + 31+15 = 227/7 = reminder = 3! !So, Independence day is Wednesday..

#### Question No 18

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

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

#### Question No 19

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?

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 20

3 years ago, the average age of C and D was 18 years. With E joining them, the average becomes 22 years. How old is E now?

Solution!
Given that![(C-3)+(D-3)]/2 = 18!C-3+D-3 = 36!C+D = 42 ...(1)! !and also given that!(C+D+E)/3 = 22!C+D+E = 66! !Put value of C+D from equation(1)!42+E = 66!E = 66-42!E = 24! !Hence E is 24 years old now..

#### Question No 21

On 8th Feb, 2005 it was Tuesday.What was the day of the week on 8th Feb, 2004?

Solution!
The year 2004 is a leap year. It has 2 odd days.! !So, The day on 8th Feb, 2004 is 2 days before the day on 8th Feb, 2005.! !Hence, this day is Sunday..

#### Question No 22

A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work?

Solution!
B's 10 day's work = (1/15 * 10) = 2/3! !Remaining work = (1 - 2/3) = 1/3! !Now, 1/18 work is done by A in 1 day.! ! Hence, 1/3 work is done by A in (18 * 1/3) = 6 days..

#### Question No 23

Find the correctly spelt word.

Solution!
No answer description available for this question..

#### Question No 24

Pointing to a boy in the photograph Reena said, "He is the only son of the only child of my grandfather." How Reena is related to that boy?

Solution!
The boy in the photograph is the only son of Reena's grandfather's only son; i.e., the boy is the only son of Reena's father.! !Hence, the boy is the brother of Reena or Reena is the sister of the boy..

#### Question No 25

Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50 years, what is definitely the difference between R and Q's age?

Solution!
Given that! !(i)The difference of age b/w R and Q = The difference of age b/w Q and T!(ii) (R + T) = 50! !So,R - Q = Q - T! !(R + T) = 2Q! !Now given that, (R + T) = 50! !So, 50 = 2Q and therefore Q = 25! !Question is (R - Q) = ?! !Here we know the value(age) of Q (25), but we don't know the age of R.! !Therefore, (R-Q) cannot be determined..

#### Question No 26

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?

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 27

Subtract eight and nine from twenty-five.

Solution!
25 - 8 - 9 = 8.

#### Question No 28

A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in

Solution!
(B + C)'s 1 day's work = (1/9 + 1/12) = 7/36! !Work done by B and C in 3 days = (7/36 * 3)!= 7/12! !Remaining work = (1 - 7/12)!= 5/12! !Now, 1/24 work is done by A in 1 day.! !So, 5/12 work is done by A in (24 * 5/12) = 10 days..

#### Question No 29

A train 110 meters long passses telegraph pole in 3 seconds. How long will it take to cross a platform 165 meters long?

Solution!
Length of the train = L1 = 110m!Time = t1 = 3s! !v = L1/t!v = 110/3! !Length of the platform = L2 = 165m! !t2 = (L1+L2)/v!By putting values!t2 = (110+165)*(3/110)!t2 = 7.5s! !Hence it will take 7.5 seconds to cross the platform..

#### Question No 30

In 1975, A was thrice as old as B but in 1979, A was only twice as old as B was. How old was A in 1985?

Solution!
Let A's age in 1985 was X.! !Given that!X-10 = 3(B-10)!X-10 = 3B-30!3B-X = 20 ...(1)! !and!X-6 = 2(B-6)!X-6 = 2B-12!2B-X = 6 ...(2)! !By simultaneously solving equation(1) and (2) we have!X = 22! !Hence A's age in 1985 was 22 years..

#### Question No 31

A bulb always has

Solution!
No answer description available for this question..

#### Question No 32

Find the odd man out.

Solution!
others are means of transportation..

#### Question No 33

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 34

Ornithologist is to Bird as Archealogist is to?

Solution!
As Ornithologist is a specialist of Birds similarly Archealogist is a specialist of Archealogy..

#### Question No 35

Y is in the East of X which is in the North of Z. If P is in the South of Z, then in which direction of Y, is P?

Solution!
No answer description available for this question..

#### Question No 36

What is synonym of VENT ?

Solution!
No answer description available for this question..

#### Question No 37

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?

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 38

Architect is to Building as Sculptor is to?

Solution!
As 'Architect' makes 'Building'! similarly 'Sculptor' makes 'Statue'..

#### Question No 39

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 40

Find the odd man out.

Solution!
All except carrot are fruits..

#### Question No 41

In the time in which the second hand covers 3960 degrees, how many degrees does the hour hand move?

Solution!
3960/(360*2) = 5.5 degree! ! .

#### Question No 42

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 43

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

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 44

your father says, "I have four sons". But you say, "I have only three brothers". Who is wrong?

Solution!
Both are correct. The boy who is talking excluded himself..

#### Question No 45

A motorboat, whose speed in 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream (in km/hr) is

Solution!
Let the speed of the stream be x km/hr.! !Then,!Speed downstream = (15 + x) km/hr! !Speed upstream = (15 - x) km/hr! !So, [30/(15 + x)] + [30/(15 - x)] = 9/2!900/(225 - x*x) = 9/2! !x = 5 km/hr.

#### Question No 46

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?

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 48

What is 3/4 of 92 plus 13?

Solution!
(3/4) * 92 = 69! !69 + 13 = 82.

#### Question No 49

A man can row down a 10 mile stream in 2 hours and up in 5 hours. What is the average speed in miles per hour?

Solution!
Downstream distance covered in 2 hours = 10 miles!Downstream distance covered in 1 hour = 10/2 = 5 miles!Downstream speed = 5 mile/h! !and!Upstream distance covered in 5 hours = 10 mile!Upstream distance covered in 1 hour = 10/5 = 2 miles! !Upstream speed = 2 mile/hr! !Average speed = (1/2)*(2+5) = 3.5 mile/hr.

#### Question No 50

John is 35 years older than his new born cousin. How old will the cousin be, when his age is 1/6 that of John's?

Solution!
We can simply check it from options. If John's cousins age is 7 then John's age is 42!and!1/6 0f 42 = 7!Hence 7 fulfills the required condition..

#### Question No 51

Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is

Solution!
Ratio of times taken by Sakshi and Tanya = 125/100 = 5/4! !Suppose Tanya takes x days to do the work.! !5/4 = 20/x!x = (4*20)/5! !x = 16 days.! !Hence, Tanya takes 16 days to complete the work..

#### Question No 52

Pointing to a person, Deepak said, "His only brother is the father of my daughter's father". How is the person related to Deepak?

Solution!
Father of Deepak's daughter's father = Deepak's father.! !Hence, the person in the brother of Deepak's father.! !Therefore, the person is the uncle of Deepak..

#### Question No 53

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

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

#### Question No 54

What is 9 multiplied by 8?

Solution!
9 * 8 = 72.

#### Question No 55

A train moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train?

Solution!
Let the length of the train be x metres and its speed by y m/sec.! !Then,!x/y = 8!x = 8y! !Now, (x+264)/20 = y!8y + 264 = 20y!y = 22! !Hence, Speed = 22 m/sec!= 22 * (18/5)!= 79.2 km/hr.

#### Question No 56

A man rows 1 km upstream in 20 minutes and 1 km downstream in 15 minutes. What is his speed of rowing in still water?

Solution!
20 minutes = 20/60 = 1/3 hours!Upstream distance covered in 1/3 hours = 1 Km!Upstream distance covered in 1 hour = 1/(1/3) = 3 Km!Upstream speed = y = 3 Km/h! !Now!15 minutes = 15/60 = 1/4 hours!Downstream distance covered in 1/4 hours = 1 Km!Downstream distance covered in 1 hour = 1/(1/4) = 4 Km!Downstream speed = 4 Km/h! !speed of rowing = (1/2)*(4+3) = 7/2 = 3.5 Km/h.

#### Question No 57

Which one of the following a 'Drama' must have?

Solution!
No answer description available for this question..

#### Question No 58

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 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

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

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