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

### Test Report

#### Question No 1

Find the odd man out.

Solution!
Remaining are narcotics..

#### Question No 2

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.

A car was bought for $380000 four years ago and during these four year it price decreases by 12%. What is its value now? #### Select the correct answer Solution! 12% of 380000 (380000/100)*12 = 45600 Price of the car = 380000 - 45600 = 334400. #### Question No 4 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 #### Select the correct answer Solution! Speed in still water = 1/2(11+5) km/h = 8 km/h. #### Question No 5 An estate agent sold a property at a profit of 10% for$825000. What was cost price of the property?

Solution!
Let cost price of the property is x.
10% of x = 10x/100 = x/10

Now
825000 - (x/10) = x
8250000 - x = 10x
8250000 = 11x
x = 750000

Hence cost price of the property is $750000.. #### Question No 6 If 7th of the month falls two days after Wednesday. What day of the week will precede the 18th of month? #### Select the correct answer Solution! On 7th the day is Friday. On 17 (day before 18) there will be Monday. #### Question No 7 0 , 1 , 4 , 9 , 16 , 25 , 36 , 49 , ? #### Select the correct answer Solution! Add 1, 3, 5, 7, etc.. #### Question No 8 Fate smiles ...... those who untiringly grapple with stark realities of life. #### Select the correct answer Solution! No answer description available for this question.. #### Question No 9 0 , 100 , 6 , 94 , 12 , 88 , 18 , 82 , ? , ? #### Select the correct answer Solution! There are two sequences interwoven. Add 6 starting at 0 and deduct 6 starting at 100.. #### Question No 10 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 11 A father is 15 times as old as his son. however, 18 years later, he will be only thrice as old as the son. What is the father's present age? #### Select the correct answer Solution! Let present age of the son is x and present age of Father is y. Given that y = 15x 15x-y = 0 ...(1) and also given that y+18 = 3(x+18) y+18 = 3x+54 y-3x = 36 ...(2) By simultaneously solving equation(1) and equation(2) y = 45 Hence father's present age is 45 years.. #### Question No 12 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? #### Select the correct answer 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 13 1 , 1 , 2 , ? , 24 , 120 , 720 #### Select the correct answer Solution! Multiply by 1, 2, 3 and so on.... #### Question No 14 Cup is to coffee as bowl is to.. #### Select the correct answer Solution! Coffee goes into a cup and soup goes into a bowl.. #### Question No 15 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 16 Choose the word which is different from the rest. #### Select the correct answer Solution! All except Scallop live in shells.. #### Question No 17 Secretly is to openly as silently is to.. #### Select the correct answer Solution! Secretly is the opposite of openly, and silently is the opposite of noisily.. #### Question No 18 Choose the word which is different from the rest. #### Select the correct answer Solution! All except Potassium are metals used in semiconductor devices.. #### Question No 19 What is 9 multiplied by 8? #### Select the correct answer Solution! 9 * 8 = 72. #### Question No 20 On selling 17 balls at$720, there is a loss equal to the cost price of 5 balls.The cost price of a ball is

Solution!
(C.P. of 17 balls) - (S.P. of 17 balls) = (C.P. of 5 balls)

C.P. of 12 balls = S.P. of 17 balls = $720 C.P. of 1 ball =$60.

#### Question No 21

Choose the word which is different from the rest.

Solution!
All except Reader are persons involved in the preparation of a journal, newspaper or magazine..

If A $B means A is the brother of B; A / B means A is the wife of B; A # B means A is the daughter of B and A * B means A is the father of B, which of the following indicates that U is the father-in-law of P? #### Select the correct answer Solution! (1) P / Q = P is the wife of Q (2) Q$ T = Q is the brother of T

T # U = T is the daughter of U

Hence,
(3)Q is the son of U

U * W = U is the father of W.

From (1) and (3), U is the father-in-law of P..

#### Question No 23

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 24

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

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 25

Deduct 7.3 from 34.2.

Solution!
34.2 - 7.3 = 26.9.

#### Question No 26

Pointing to Gopi, Nalni says, "I am the daughter of the only son of his grandfather." How Nalni is related to Gopi?

Solution!
Nalni is the daughter of the only son of Gopi's grandfather.

Hence, it's clear that Nalni is the sister of Gopi..

#### Question No 27

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 28

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?

Solution!
No answer description available for this question..

Or
200 / 4 = $50. #### Question No 30 Ten years ago Akram was thrice as old as Aslam was, but 10 years hence, he will be only twice as old. What is Akram's present age? #### Select the correct answer Solution! Let Aslam's present age is x and Akram's present age is y. Given that y-10 = 3(x-10) y-10 = 3x-30 y-3x = -20 3x-y = 20 ...(1) and also given that y+10 = 2(x+10) y+10 = 2x+20 y-2x = 10 ...(2) By simultaneously solving equation(1) and equation(2) y=70 Hence Akram's present age is 70 years.. #### Question No 31 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 32 What is the angle between the hands of a clock at 1 o'clock? #### Select the correct answer Solution! At 1 o'clock the minute hand points to the 12 and the hour hand points to the 1. So we need to find the angle between the 12 and the 1. There are 12 total numbers on the clock and total angle on complete turn of the clock is 360 degree, so each one must be 360/12 = 30 degree. So the angle between the hands of a clock at 1 o'clock is 30 degree.. #### Question No 33 Tiger is to Forest as Otter is to? #### Select the correct answer Solution! As Tiger is found in Forest similarly Otter is found in the water.. #### Question No 34 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? #### Select the correct answer 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 35 If a light flashes every 6 seconds, how many times will it flash in 3/4 of an hour? #### Select the correct answer Solution! 3/4 of an hour = 3/4 * 60 * 60 = 2700 Light will flash in 6 seconds = 2700/6 = 450 times. #### Question No 36 Find the correctly spelt word. #### Select the correct answer Solution! No answer description available for this question.. #### Question No 37 Cost price of a camera was$430 and it was sold at profit of 16%. What is its selling price?

Solution!
16% of 430 = (430*16)/100 = 68.8

Selling price = 430 + 68.8 = 498.8.

#### Question No 38

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 39

A train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 650 m long?

Solution!
Speed = (240/24) = 10m/s

Hence, Required time = (240+650)/10
= 89 seconds.

#### Question No 40

Race is to Fatigue as Fast is to?

Solution!
As the result of Race is Fatigue similarly the result of Fast is Hunger..

#### Question No 41

Ali and Nadeem are brothers. Maria and Mariam are sisters. If Ali's son is Mariam's brother, them what is the relation of Nadeem to Maria?

Solution!
"Ali's son is Mariam's brothers" means Mariam and Maria are Ali's daughters.

So Nadeem (brother of Ali) is Uncle of Maria..

#### Question No 42

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 43

A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?

Solution!
Speed = 54 * (5/18)m/s
= 15 m/s

Length of the train = (15 x 20)m = 300 m

Let the length of the platform be x metres

Then,
(x+300)/36 = 15
x + 300 = 540

Hence, x = 240 m.

#### Question No 44

A girl accompanied a woman. on being asked who the girl was, the woman replied. "She is the daughter of the wife of my mother's only son". How was the girl related to woman?

Solution!
Woman's mother's only son means her brother and the girl is daughter of her brother.
So the girl is niece of the woman..

#### Question No 45

A can do a piece of work in 4 hours; B and C together can do it in 3 hours,while A and C together can do it in 2 hours.How long will B alone take to do it?

Solution!
A's 1 hour's work = 1/4

(B + C)'s 1 hour's work = 1/3

(A + C)'s 1 hour's work = 1/2

(A + B + C)'s 1 hour's work = (1/4 + 1/3) = 7/12

B's 1 hour's work = (7/12 - 1/2) = 1/12

Hence, B alone will take 12 hours to do the work..

#### Question No 46

It was Sunday on Jan 1, 2006.What was the day of the week Jan 1, 2010?

Solution!
On 31st December, 2005 it was Saturday.
Number of odd days from the year 2006 to the year 2009 = (1 + 1 + 2 + 1) = 5 days.

So, On 31st December 2009, it was Thursday.

Thus, on 1st Jan, 2010 it is Friday..

#### Question No 47

100 , 96.75 , 93.5 , 90.25 , 87 , ?

Solution!
Deduct 3.25 each time..

#### Question No 48

A 300 metre long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds.What is the length of the platform?

Solution!
Speed = (300/18)m/s
= 50/3m/s

Let the length of the platform be x metres

Then, (x+300)/39 = 50/3
3(x + 300) = 1950

Hence, x = 350 m.

#### Question No 49

If A is Brother of B but B is not Brother of A then who is B?

Solution!
B is a girl and A is her brother..

#### Question No 50

A little American and a big American are walking along a road. The little American is the big American's son. The big American is not the little American's father. Who is big American?

Solution!
Little American is son of big American but big American is not his father, then big American must be his mother..

#### Question No 51

The ratio of A's age and B's age is 3/7, and the difference of their ages is 16 years. Find the age of B.

Solution!
Given that
A/B = 3/7 ...(1)

and
B-A = 16 ...(2)
Put value of A from equation(1) in equation(2)
B-(3/7)B = 16
(7B-3B)/7 = 16
4B = 112
B = 28

Hence Age of B is 28 years..

#### Question No 52

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 53

A/B = 2/3. If value of A is 8 What is the value of B?

Solution!
8/B = 2/3
2B = 24
B = 12

*In short-cut way We can find 2 is multiplied by 4 to get 8 so if we multiply 3 with 4 we get 12 which is the value b B when value of A is 8..

#### Question No 54

Choose the word which is different from the rest.

Solution!
All except Sharp are related to dimension..

#### Question No 55

Sponge is to porous as rubber is to..

Solution!
A sponge is a porous material. Rubber is an elastic material..

#### Question No 56

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 57

'A' is without sons and brothers, but the father of B is A's father's son. What is 'B' to 'A'?

Solution!
A's father's son means A himself because A has no brother.

So A is father of B.
As A has no son, B must be her daughter..

#### Question No 58

The side of a square is 2. What is the area of the square?

Solution!
Area of square is
2 * (any side)
= 2 * (2) = 4 square units.

#### Question No 59

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 60

One year ago, the ratio of Sooraj's and Vimal's age was 6/7 respectively. Four years hence, this ratio would become 7/8. How old is Vimal?

Solution!
Let take the age of Sooraj and Vimal, 1 year ago as 6x and 7x respectively.

Given that, four years hence, this ratio would become 7/8.

(6x + 5)/(7x + 5) = 7/8
48x + 40 = 49x + 35
x = 5

Vimal's present age = 7x + 1 = 7*5 + 1 = 36.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60