IQ Test, Mental Aptitude, Logical Reasoning & Mathematical Tests

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Question No 1

Find the odd man out.

Select the correct answer

Imbecile Idiot Cretin Genius

Solution!
Cretin is a biological term while all other are behaviour..

Question No 2

By selling an article for $200 shopkeeper looses 20%. What is cost price of the article?

Select the correct answer

220 225 230 250

Solution!
Let cost price of the article is x.

20% of x = (x*20)/100 = x/5

Now
(x/5) + 200 = x
x+1000 = 5x
4x = 1000
x = 250

Hence cost price of the article is 250..

Question No 3

A boat running downstream covers a distance of 16 km in 2 hours while for covering the same distance upstream, it takes 4 hours. What is the speed of the boat in still water?

Select the correct answer

4 km/hr 10 km/hr 6 km/hr 8 km/hr

Solution!
Rate downstream = (16/2)km/h = 8 km/h

Rate upstream = (16/4)km/h
= 4 km/h

Hence, Speed in still water = 1/2(8+4)km/h = 6 km/h.

Question No 4

College is to Student as Hospital is to?

Select the correct answer

Nurse Doctor Treatment Patient

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

Question No 5

What is 55% of 320?

Select the correct answer

146 176 156 144

Solution!
55 * (320 / 100) = 176

Quick way to find answer from options is

50% of 320 is 160 so answer should be greater than 160
Only one option is greater than 160 which is 176..

Question No 6

A man can row at 5 kmph in still water. If the velocity of current is 1 kmph and it takes him 1 hour to row to a place and come back, how far is the place?

Select the correct answer

2.4 km 2.5 km 3 km 3.6 km

Solution!
Speed downstream = (5 + 1) kmph = 6 kmph

Speed upstream = (5 - 1) kmph = 4 kmph

Let the required distance be x km.

Then,
x/6 + x/4 = 1
2x + 3x = 12
5x = 12

Hence, x = 2.4 km.

Question No 7

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

Select the correct answer

10 45 54 75

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

Question No 8

A3P means A is the mother of P , A4P means A is the brother of P , A9P means A is the husband of P , A5P means A is the daughter of P ; Which of the following means that K is the mother-in-law of M?

Select the correct answer

M9N3K4J M9N5K3J K5J9M3N K3J9N4M

Solution!
M9N = M is the husband of N

N5K = N is the daughter of K

Hence, M is the son-in-law of K

K3J = K is the mother of J

Hence, K is a lady

Hence, K is the mother-in-law of M..

Question No 9

January 1, 2008 is Tuesday.What day of the week lies on Jan 1, 2009?

Select the correct answer

Monday Wednesday Thursday Sunday

Solution!
The year 2008 is a leap year. So, it has 2 odd days.

1st day of the year 2008 is Tuesday (Given)

So, 1st day of the year 2009 is 2 days beyond Tuesday.

Hence, it will be Thursday..

Question No 10

HYPOTENUSE is to PERIMETER as ARC is to..

Select the correct answer

radius diameter circumference diagonal

Solution!
No answer description available for this question..

Question No 11

A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is

Select the correct answer

250 m 50 m 150 m 200 m

Solution!
Let the length of the train be x metres and its speed by y m/sec.

Then, x/y = 15
y = x/15

So, (x+100)/25 = x/15
15(x + 100) = 25x
15x + 1500 = 25x
1500 = 10x
x = 150 m.

Question No 12

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?

Select the correct answer

2.5 3 3.5 4

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 13

Choose the word which is different from the rest.

Select the correct answer

Tea Chalk Rubber Cardamom

Solution!
All except Chalk are obtained from crops..

Question No 14

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?

Select the correct answer

69.5 km/hr 70 km/hr 79 km/hr 79.2 km/hr

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 15

What is found necessarily in milk?

Select the correct answer

Cream Curd Water Whiteness

Solution!
No answer description available for this question..

Question No 16

A train running at the speed of 60 km/hr crosses a pole in 9 seconds.What is the length of the train?

Select the correct answer

120 m 180 m 324 m 150 m

Solution!
Speed = 60 * (5/18) = 50/3 m/sec

Length of the train = (Speed x Time) = (50/3) * 9 = 150 meters.

Question No 17

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?

Select the correct answer

Daughter Son Nephew Brother

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 18

A man's age is three times his son's. In 15 years it will be double that of his son's. How old is the son now?

Select the correct answer

30 15 45 none

Solution!
Let Son's age is x
Mans Age = 3x

Given that
3x+15 = 2(x+15)
3x+15 = 2x+30
3x-2x = 30-15

x = 15

Hence son is 15 years old..

Question No 19

What will be the selling price of an article that was bought for $1150 and sold at profit of 6%?

Select the correct answer

$1199 $1209 $1219 $1229

Solution!
6% of 1150
= (1150*6)/100 = 69

Selling price = 1150+69 = 1219.

Question No 20

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?

Select the correct answer

6 years 5 years 4 years 3 years

Solution!
Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years.

Then,
x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50
5x = 20
x = 4

Hence, Age of the youngest child = x = 4 years.

Question No 21

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

Select the correct answer

22, 64 24, 76 32, 40 50, 60

Solution!
There are two sequences interwoven.

Add 6 starting at 0 and deduct 6 starting at 100..

Question No 22

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?

Select the correct answer

Mother Sister Aunt None of these

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 23

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

Select the correct answer

90 degree 120 degree 45 degree 50 degree

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 24

The difference of the ages of two brothers is 2 and the difference of the square of their ages is 16. The age of smaller one is?

Select the correct answer

4 5 2 3

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

Given that
y-x = 2 ...(1)

and
(y^2)-(x^2) = 16
(y+x)(y-x) = 16

Put value of (y-x) from equation(1)
2(y+x) = 16
y+x = 8 ...(2)

By simultaneously solving equation(1) and equation(2) we have
y = 5
and
x = 3

Hence present age of younger brother is 3 years..

Question No 25

What is the angle between the hands of a clock at 2:30?

Select the correct answer

120 degree 115 degree 105 degree 125 degree

Solution!
Hour hand is nearly at 2
Minute hand is at 6

Angle between 2 and 6 is 120 degree.

Hour hand move 1/2 degree in one minute.

In 30 Minutes hour hand will move 1/2 * 30 = 15 degree

Hence, Angle between hands is 120 - 15 = 105 degree.

Question No 26

Ten years ago a father was seven times as old as his son, two years hence, twice his age will be equal to five times his son's. What is the present age of son?

Select the correct answer

14 20 16 24

Solution!
Let present age of son is x and present age of father is y.

Given that
y-10 = 7(x-10)
y-10 = 7x-70
y-7x = -70+10
7x-y = 60 ...(1)

and also given that
2(y+2) = 5(x+2)
2y+4 = 5x+10
2y-5x = 6 ...(2)By simultaneously soving equation(1) and equation(2)
x = 14

Hence present age of son is 14 years..

Question No 27

BOVINE is to OVINE as COW is to..

Select the correct answer

sheep chickens calf lowing

Solution!
No answer description available for this question..

Question No 28

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

Select the correct answer

Tuesday Monday Sunday Wednesday

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 29

If A + B means A is the brother of B; A x B means A is the son of B; and A % B means B is the daughter of A then which of the following means M is the maternal uncle of N?

Select the correct answer

M + O x N M % O x N + P M + O % N None of these

Solution!
Because the sex of O is not known..

Question No 30

Divide 672 by 12.

Select the correct answer

68 65 67 56

Solution!
672 / 12 = 56.

Question No 31

Choose the word which is different from the rest.

Select the correct answer

Sparrow Swan Parrot Koel

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

Question No 32

Which of the following is not a leap year?

Select the correct answer

600 1600 2400 1200

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

So, The year 600 is not a leap year..

Question No 33

Choose the word which is different from the rest.

Select the correct answer

Tricycle Trident Trifle Tricolour

Solution!
In all except Trifle, 'tri' indicates 'three'..

Question No 34

100 , 96.75 , 93.5 , 90.25 , 87 , ?

Select the correct answer

81 50.4 62 83.75

Solution!
Deduct 3.25 each time..

Question No 35

Meena is thrice as old as Sheraz. Fatima will be twice as old as Meena 6 years hence. Six years ago Sheraz was five years old. What is Fatima's present age?

Select the correct answer

65 70 68 72

Solution!
Let present age of Sheraz is x and present age of Fatima is y.

So,
Meena's age = 3x

Given that
y+6 = 2(3x+6) ...(1)
and
x-6 = 5
x = 11

Put value of x in equation(1)

y+6 = 2(33+6)
y+6 = 78
y = 72

Hence Fatima's present age is 72 years..

Question No 36

The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is

Select the correct answer

200 m 225 m 245 m 250 m

Solution!
Speed = 45 * (5/18)
= 25/2 m/s

Time = 30 sec

Let the length of bridge be x metres

Then,
(130 + x)/30 = 25/2
2(130 + x) = 750

Hence, x = 245 m.

Question No 37

Value of a house decreased from $250000 to $200000. What is the percentage decrease in the value?

Select the correct answer

20 25 30 35

Solution!
Decrease in value of house = 250000 - 200000 = 50000

Percentage decrease = (50000/250000)*100 = 20%.

Question No 38

A motorcyclist travels 200 Km in 1 hr. How many minutes if would take him to travel 120 Km?

Select the correct answer

72 50 36 24

Solution!
200 Km distance covered in minutes = 60

1 Km distance covered in minutes = 60/200 = 3/10

120 Km distance covered in minutes = (3/10) * 120 = 36 minutes.

Question No 39

Find the correctly spelt word.

Select the correct answer

Rigerous Rigourous Regerous Rigorous

Solution!
No answer description available for this question..

Question No 40

Choose the word which is different from the rest.

Select the correct answer

Leopard Lion Bear Tiger

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

Question No 41

A is as much younger than B and he is older than C. If the sum of the ages of B and C is 50 years, what is definitely the difference between B and A's age?

Select the correct answer

Data inadequate 3 years 2 years 5 years

Solution!
No answer description available for this question..

Question No 42

What will be the selling price of an article that was bought for $475 and sold at a loss of 12%?

Select the correct answer

$409 $418 $429 $438

Solution!
12% of 475
=(475*12)/100 = 57

Selling price = 475-57 = 418.

Question No 43

Ahmad reads 24 pages of a book in 15 minutes. The rate of pages read per minute by him will be

Select the correct answer

1.6 2 2.5 3

Solution!
24/15 = 8/5
8/5 = 1.6.

Question No 44

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

Select the correct answer

27 100 125 343

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

Question No 45

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

Select the correct answer

64 67 62 72

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

Question No 46

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

Select the correct answer

Brother Uncle Son Data inadequate

Solution!
The man in the photograph is son of Anjali's grandfather's son i.e., the son of Anjali's father.

Hence, the boy is the brother of Anjali..

Question No 47

SYNTHESIS is to PARTS as CONFLUENCE is to..

Select the correct answer

mergers streams ores parallels

Solution!
No answer description available for this question..

Question No 48

A $ B means A is the father of B; A # B means A is the sister of B; A * B means A is the daughter of B and A / B means A is the brother of B. Which of the following indicates that M is the wife of Q?

Select the correct answer

Q $ R # T / M Q $ R / T # M Q $ R * T # M Q $ R / T * M

Solution!
Q $ R = Q is the father of R

R / T = R is the brother of T

Hence, Q is the father of T

T * M = T is the daughter of M

Hence, M is the mother of T

Hence, M is the wife of Q..

Question No 49

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

Select the correct answer

20 32 27 19

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

Question No 50

A man pointing to Stephen said, "I have no brother or sister, but that man's father is my father's son". What is he to Stephen?

Select the correct answer

Father Son Brother Grand Father

Solution!
The man who is pointing has no brother so Son of his father means he himself.

So, he is Stephen's father..

Question No 51

What is synonym of BRIEF ?

Select the correct answer

Limited Small Little Short

Solution!
No answer description available for this question..

Question No 52

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

Select the correct answer

63 65 68 72

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 53

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

Select the correct answer

18 12 48 6

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

Question No 54

A works twice as fast as B.If B can complete a work in 12 days independently,The number of days in which A and B can together finish the work in

Select the correct answer

4 days 6 days 8 days 18 days

Solution!
Ratio of rates of working of A and B = 2/1

So, ratio of times taken = 1/2

B's 1 day's work = 1/12

A's 1 day's work = 1/6
(2 times of B's work)

(A + B)'s 1 day's work = (1/6 + 1/12) = 1/4

So, A and B together can finish the work in 4 days..

Question No 55

ARCHIPELAGO is to ISLAND as CONSTELLATION is to..

Select the correct answer

hamlet zodiac sea star

Solution!
No answer description available for this question..

Question No 56

By selling a Television for $572 Adam lost 12%. What was the cost price of the television?

Select the correct answer

$575 $600 $625 $650

Solution!
Let cost price of the television is x.
12% of x = 12x/100 = 3x/25

Now
(3x/25)+572 = x
3x + 14300 = 25x
14300 = 22x
x = 650

Hence cost price of the television is $650..

Question No 57

Find the odd man out.

Select the correct answer

Byron Shelly Keats Chamberlain

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

Question No 58

What is the angle between the hands of a clock at 8:50 am?

Select the correct answer

45 degree 25 degree 65 degree 35 degree

Solution!
At 8:50 hour hand is nearly at 8
Minute hand is at 10

Angle between 8 and 10 is 60 degree.

Hour hand move 1/2 degree in one minute.

In 50 Minutes hour hand will move 1/2 * 50 = 25 degree

Hence, Angle between hands is 60 - 25 = 35 degree.

Question No 59

What is 3/4 of 92 plus 13?

Select the correct answer

85 81 83 82

Solution!
(3/4) * 92 = 69

69 + 13 = 82.

Question No 60

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?

Select the correct answer

Rs. 18.20 Rs. 70 Rs. 72 Rs. 88.25

Solution!
C.P. = (100/122.5) * 392
= (1000/1225) * 392
= Rs. 320

Hence, Profit = Rs. (392 - 320) = Rs. 72..

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