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

### Test Report

#### Question No 1

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 2

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

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 3

A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was?

Solution!
Let the son's present age be x years. Then, (38 - x) = x

2x = 38
x = 19

Hence, Son's age 5 years back (19 - 5) = 14 years..

#### Question No 4

B5D means B is the father of D , B9D means B is the sister of D , B4D means B is the brother of D , B3D means B is the wife of D ; Which of the following means F is the mother of K?

Solution!
F3M = F is the wife of M

M5K = M is the father of K

Therefore, F is the mother of K..

#### Question No 5

Pointing to a lady a person said, "The son of her only brother is the brother of my wife." How is the lady related to the person?

Solution!
Brother of person's wife is brother-in-law of the person.

Hence, the son of lady's brother is brother-in-law of the person.

Therefore, the brother of the lady is the father-in-law of the person. Hence, the lady is the sister of the person's father-in-law..

#### Question No 6

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 7

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 8

What is 9 multiplied by 8?

Solution!
9 * 8 = 72.

#### Question No 9

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 10

100 , 96.75 , 93.5 , 90.25 , 87 , ?

Solution!
Deduct 3.25 each time..

#### Question No 11

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 12

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 13

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 14

Choose the word which is different from the rest.

Solution!
All except Bear belong to the cat family..

#### Question No 15

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

Solution!
Let the present age of Sachin = x

Then (x+15) = 5(x-5)
4x = 40
x = 10.

#### Question No 16

College is to Student as Hospital is to?

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

#### Question No 17

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.

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 18

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

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

#### Question No 19

Ages of A and B are in ratio 8/7. 27 years ago their ages were in the ratio 5/4. The age of B is

Solution!
Given that
A/B = 8/7 ...(1)

and
(A-27)/(B-27) = 5/4
5B-135 = 4A-108 ...(2)

From equation(1) we have
A = (8/7)B

Put value of A in equation(2)
5B-135 = 4*[(8/7)B]-108
5B-27 = (32/7)B
5B-(32/7)B = 27
(35B-32B)/7 = 27
3B = 189
B = 63

Hence the age of B is 63 years..

#### Question No 20

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

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

#### Question No 21

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 22

Find the odd man out.

Solution!
No answer description available for this question..

#### Question No 23

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 24

Find the odd man out.

Solution!
Chamberlain is a politician while all other are poet..

#### Question No 25

Price of a car increased from $400000 to$420000. What is the percentage increase?

Solution!
Increase in price = 420000 - 400000
= 20000

Percentage increase = (20000/400000)*100
= 5%.

#### Question No 26

At what angle the hands of a clock are inclined at 15 minutes past 5?

Solution!
Angle traced by hour hand in 21/4 hrs = (360/12 * 21/4) = 157.5 degree

Angle traced by minute hand in 15 min = (360/60 * 15) = 90 degree

So, required angle = (157.5 - 90) = 67.5 degree.

#### Question No 27

If M x N means M is the daughter of N; M + N means M is the father of N; M % N means M is the mother of N and M - N means M is the brother of N then P % Q + R - T x K indicates which relation of P to K?

Solution!
P % Q = P is the mother of Q

Q + R = Q is the father of R

R - T = R is the brother of T

Hence, Q is the father of T

T x K = T is the daughter of K

Hence, Q is the husband of K.

Therefore, P is the mother-in-law of K..

#### Question No 28

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

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 29

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

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

#### Question No 30

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

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

#### Question No 31

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 %.

If A $B means A is the brother of B; B * C means B is the son of C; C / D means C is the wife of D and A # D means A is the son of D, how C is related to A? #### Select the correct answer Solution! A$ B = A is the brother of B

B * C = B is the son of C

Hence, A is the son of C

C / D = C is the wife of D

Hence, C is the mother of A..

#### Question No 33

What is 45% of 300?

Solution!
45 * (300/100) = 135

Quick way to find answer from options is

50% of 300 is 150 so 45% of 300 should be less than 150

So, it may be 149 or 135
149 is very close to 150 which is not possible

#### Question No 34

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 35

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 36

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 37

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

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

#### Question No 38

There are deer and peacocks in a zoo. By counting heads they are 80. The number of their legs is 200. How many peacocks are there ?

Solution!
Let x and y be the number of deer and peacocks in the zoo respectively. Then,
x + y = 80 ...(i) and
4x + 2y = 200 or 2x + y = 100 ...(ii)

Solving (i) and (ii), we get) x = 20, y = 60..

#### Question No 39

Conference is to Chairman as Newspaper is to?

Solution!
As Chairman is the highest authority in a conference
similarly Editor is in Newspaper..

#### Question No 40

MAUNA LOA is to ETNA as HAWAII is to..

Solution!
No answer description available for this question..

#### Question No 41

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 42

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?

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 43

What is the speed of the train if it crosses a 175 meters long bridge in 41 seconds? Length of the train is 645 meters?

Solution!
Length of the train = L1 = 645m
Length of the bridge = L2 = 175m
Time = t = 41s
Speed = v = ?

v = (L1+L2)/t
v = (645+175)/41
v = 20m/s = 20 * 18/5 = 72 Km/h

Hence speed of the train is 72 Km/h..

Or
200 / 4 = \$50.

#### Question No 45

Which one of the following is always in 'Sentiment'?

Solution!
No answer description available for this question..

#### Question No 46

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 47

Deduct 865 from 1063.

Solution!
1063 - 865 = 198.

#### Question No 48

In a ship the provisions are sufficient for 800 men for 50 days. How long will these be sufficient for if there would have been 200 more men?

Solution!
Let provisions will be sufficient for 200 men for x days.
As men and days are inversely proportional to each other so
x/50 = 800/1000
x = 40

Hence provisions will be sufficient for 200 men for 40 days..

#### Question No 49

A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, what was the son's age five years back?

Solution!
Let the son's present age be x years.

Then
(38 - x) = x

2x = 38
x = 38/2 = 19

Son's age 5 years back = 19-5 = 14 years.

#### Question No 50

By how many degrees does the minute hand move in the same time, in which the hour hand move by 18 degree?

Solution!
18*2 *6 = 216 degree

.

#### Question No 51

The time in a clock is 20 minute past 2. Find the angle between the hands of the clock.

Solution!
Time is 2.20.
Hour hand at 2 (nearly) and minute hand at 4.

Angle between 2 and 4 is 60 degrees [(360/12) * (4-2)]

Angle made by the hour hand in 20 minutes is 10 degrees, since it turns through 1/2 degrees in a minute.

Therefore, angle between the hands is 60 degrees - 10 degrees = 50 degrees.

#### Question No 52

Catching the earlier train will give us the ...... to do some shopping.

Solution!
No answer description available for this question..

#### Question No 53

A lotus flower always has

Solution!
No answer description available for this question..

#### Question No 54

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

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

#### Question No 55

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 56

The sum of the ages of two children is 12 and their product is 32. The age of elder one is

Solution!
Let age of younger child is x and age of elder child is y.

Given that
x+y = 12 ...(1)

and
xy = 32
x = 32/y

Put value of x in equation(1)
(32/y)+y = 12
32+(y^2) = 12y
(y^2)-12y+32 = 0
(y^2)-8y-4y+32 = 0
y(y-8)+4(y-8) = 0
(y-8)(y+4) = 0
y = -4 (impossible)
or
y = 8

Hence age of elder child is 8 years..

#### Question No 57

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 58

Cloth is to Mill as Newspaper is to?

Solution!
As Cloth is made in a Mill, similarly Newspaper is printed in press..

#### Question No 59

How many times do the hands of a clock coincide in a day?

Solution!
The hands of a clock coincide 11 times in every 12 hours (Since between 11 and 1, they coincide only once, i.e., at 12 o'clock).

The hands overlap about every 65 minutes, not every 60 minutes. So, the hands coincide 22 times in a day..

#### Question No 60

flow is to river as stagnant is to..