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

### Test Report

#### Question No 1

Find the odd man out.

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

By selling an article for $200 shopkeeper looses 20%. What is cost price of the article? #### Select the correct answer 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 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 Solution! As Students read in College similarly Patients are treated in Hospital.. #### Question No 5 What is 55% of 320? #### Select the correct answer 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 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 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 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 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 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 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 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 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 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 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 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 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 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%?

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?

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 , ? , ?

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?

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.

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?

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?

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?

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..

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?

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?

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

#### Question No 30

Divide 672 by 12.

Solution!
672 / 12 = 56.

#### Question No 31

Choose the word which is different from the rest.

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

#### Question No 32

Which of the following is not a leap year?

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.

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

#### Question No 34

100 , 96.75 , 93.5 , 90.25 , 87 , ?

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?

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

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?

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?

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.

Solution!
No answer description available for this question..

#### Question No 40

Choose the word which is different from the rest.

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?

Solution!
No answer description available for this question..

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 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 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 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 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 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 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 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?

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.

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?

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?

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?