IQ Test, Mental Aptitude, Logical Reasoning & Mathematical Tests

20 Minutes Test

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Test Report

Question No 1

What is average of 12 , 15 and 18?

Select the correct answer

Solution!
(12+15+18)/3 = 45/3 = 15.

Question No 2

What was the day of the week on 28th May, 2006?

Select the correct answer

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 3

By selling a car for Rs. 495000 an agent gains 10%. What was his cost?

Select the correct answer

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

Now
495000 - (x/10) = x
4950000 - x = 10x
4950000 = 11x
x = 450000.

Question No 4

Find the odd man out.

Select the correct answer

Solution!
All except New York capitals..

Question No 5

A 100 meters long train can cross a 150 meters long bridge in 20 seconds. What is the speed of the train?

Select the correct answer

Solution!
Length of the train = L1 = 100m
Length of the bridge = L2 = 150m
Time = t = 20s
Speed = v = ?

v = (L1+L2)/t
By putting values
v = (100+150)/20
v = 250/20 = 12.5m/s

Hence speed of train is 12.5m/s..

Question No 6

On 8th Dec, 2007 Saturday falls.What day of the week was it on 8th Dec, 2006?

Select the correct answer

Solution!
The year 2006 is an ordinary year. So, it has 1 odd day.

So, the day on 8th Dec, 2007 will be 1 day beyond the day on 8th Dec, 2006.

But, 8th Dec, 2007 is Saturday.

Hence, 8th Dec, 2006 is Friday..

Question No 7

A train travelling at he speed of 72km/h can cross a platform in 17 seconds. If length of the train is 180 meters, what is the length of the platform?

Select the correct answer

Solution!
Speed of train = v = 72Km/h = 72*(5/18) = 20m/s

Time = t = 17s
Length of the train = L1 = 180m
Length of the platform = L2 = ?

t = (L1+L2)/v
By putting values
17 = (180+L2)/20
340-180 = L2
L2 = 160m

Hence length of the platform is 160m..

Question No 8

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?

Select the correct answer

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.

Question No 9

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

Select the correct answer

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 10

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 11

PORTION is to DOSE as FOOD is to..

Select the correct answer

Solution!
No answer description available for this question..

Question No 12

Introducing a boy, a girl said, "He is the son of the daughter of the father of my uncle." How is the boy related to the girl?

Select the correct answer

Solution!
The father of the boy's uncle = the grandfather of the boy

daughter of the grandfather = sister of father..

Question No 13

Find the odd man out.

Select the correct answer

Solution!
Sleigh is a vehicle used for transportation at snow and pulled by horses or dogs..

Question No 14

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 15

4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?

Select the correct answer

Solution!
Let, 1 man's 1 day's work = x
and
1 woman's 1 day's work = y

Then, 4x + 6y = 1/8 nd 3x + 7y = 1/10

Solving the two equations, we get
x = 11/400
y = 1/400

So, One woman's 1 day's work = 1/400

10 women's 1 day's work = (1/400 * 10) = 1/40

Hence, 10 women will complete the work in 40 days..

Question No 16

What is the angle between the hands of a clock at 7 o'clock?

Select the correct answer

Solution!
At 7 o'clock the minute hand points to 12 and hour hand points to 7.

Angle between 7 and 12 is 150 degree..

Question No 17

FRANKENSTEIN is to SHELLEY as DRACULA is to..

Select the correct answer

Solution!
No answer description available for this question..

Question No 18

Our teacher has come out with another puzzle for her students. It is, "If three days ago was the day before Friday, What day will be after tomorrow?"

Select the correct answer

Solution!
Three days ago was Thursday and today is Sunday, so the day after tomorrow will be Tuesday..

Question No 19

flow is to river as stagnant is to..

Select the correct answer

Solution!
As Water of a River flows similarly water of Pool is Stagnant..

Question No 20

Tree is to Forest as Grass is to?

Select the correct answer

Solution!
As Tree is found in Forest similarly Grass is found in Lawn..

Question No 21

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

Select the correct answer

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

Question No 22

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?

Select the correct answer

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..

Question No 23

A shopkeeper bought an article for $120 and sold at profit of 10%. What is selling price of the article?

Select the correct answer

Solution!
10% of 120
= (120*10)/100 = 12

Selling price = 120+12 = 132.

Question No 24

Architect is to Building as Sculptor is to?

Select the correct answer

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

Question No 25

If A + B means A is the sister of B; A x B means A is the wife of B, A % B means A is the father of B and A - B means A is the brother of B. Which of the following means T is the daughter of P?

Select the correct answer

Solution!
P x Q = P is the wife of Q

Q % R = Q is the father of R

R - T = R is the brother of T

T + S = T is the sister of S.

Therefore, T is the daughter of P..

Question No 26

The average of five numbers is 27.If one number is excluded the average becomes 25.What is the excluded number?

Select the correct answer

Solution!
No answer description available for this question..

Question No 27

Country is to President as State is to?

Select the correct answer

Solution!
As President is the nominal head of a country, similarly Governer is the nominal head of a State..

Question No 28

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

Select the correct answer

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 29

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

Select the correct answer

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

Question No 30

A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?

Select the correct answer

Solution!
Formula for converting from km/hr to m/s is
X km/hr = x * (5/18)m/s

Therefore,
Speed = 45 * (5/18) = 25/2 m/s

Total distance to be covered = (360 + 140) m = 500 m

Formula for finding Time = (Distance/Speed)

Hence, Required time = (500*2)/25
= 40 seconds.

Question No 31

Which of the following is the least number which is divisible by both 12 and 18?

Select the correct answer

Solution!
Least common multiple of 12 and 18 is 36.

Question No 32

Add 2/5 of 90 to 5/6 of 78.

Select the correct answer

Solution!
(2/5) * 90 = 36

(5/6) * 78 = 65

36 + 65 = 101.

Question No 33

A man is 24 years older than his son. In two years, his age will be twice the age of his son. What is the present age of his son?

Select the correct answer

Solution!
Let the present age of the son = x years

Then present age the man = (x+24) years

Given that in 2 years, man's age will be twice the age of his son

(x+24) +2 = 2(x+2)
x = 22.

Question No 34

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?

Select the correct answer

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 35

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 36

10 women can complete a work in 7 days and 10 children take 14 days to complete the work.How many days will 5 women and 10 children take to complete the work?

Select the correct answer

Solution!
1 woman's 1 day's work =1/70

1 child's 1 day's work =1/140

(5 women + 10 children)'s 1 day's work = (5/70 + 10/140) = (1/14 + 1/14) = 1/7

Hence, 5 women and 10 children will complete the work in 7 days..

Question No 37

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

Select the correct answer

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

Question No 38

100 , 96.75 , 93.5 , 90.25 , 87 , ?

Select the correct answer

Solution!
Deduct 3.25 each time..

Question No 39

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?

Select the correct answer

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 40

Introducing Sonia, Aamir says, "She is the wife of only nephew of only brother of my mother." How Sonia is related to Aamir?

Select the correct answer

Solution!
Brother of mother means maternal uncle.

Hence only nephew of Aamir's maternal uncle means Aamir himself.

Therefore Sonia is the wife of Aamir..

Question No 41

One morning Udai and Vishal were talking to each other face to face at a crossing. If Vishal's shadow was exactly to the left of Udai, which direction was Udai facing?

Select the correct answer

Solution!
No answer description available for this question..

Question No 42

Choose the word which is different from the rest.

Select the correct answer

Solution!
All except Spider are insects having six legs..

Question No 43

A father is 3 years older than 3 times the age of his son. If the sum of their ages is 31 years, how old was father 3 years ago?

Select the correct answer

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

Given that
y = 3x+3 ...(1)

and
x+y = 31
x = 31-y

Put value of x in equation(1)
y = 3(31-y)+3
y = 93-3y+3
4y = 96
y = 24

Three years ago
y = 24-3
y = 21

Hence father was 21 years old 3 years ago..

Question No 44

Kiran is younger than Bineesh by 7 years and their ages are in the respective ratio of 7 / 9, how old is Kiran?

Select the correct answer

Solution!
Let the ages of Kiran and Bineesh are 7x and 9x respectively

7x = 9x-7
x = 7/2 = 3.5

Kiran's age = 7x
= 7 * 3.5 = 24.5.

Question No 45

A clock is started at noon.By 10 minutes past 5, the hour hand has turned through ...

Select the correct answer

Solution!
Angle traced by hour hand in 12 hrs = 360 degree

Angle traced by hour hand in 5 hrs 10 min. i.e.,
31/6 hrs = (360/12 * 31/6) = 155 degree.

Question No 46

A can do a work in 15 days and B in 20 days.If they work on it together for 4 days,then the fraction of the work that is left is

Select the correct answer

Solution!
A's 1 day's work = 1/15

B's 1 day's work = 1/20

(A + B)'s 1 day's work = (1/15 + 1/20) = 7/60

(A + B)'s 4 day's work = (7/60 * 4) = 7/15

Therefore, Remaining work = (1 - 7/15) = 8/15.

Question No 47

A does not have any sons or brothers, but B's father is A's father's son. What is B to A?

Select the correct answer

Solution!
A's father's son means A himself. And B is his child. may be daughter or son. In options only daughter is given so it must be the answer..

Question No 48

A and B can do a job together in 7 days. A is 7/4 times as efficient as B.The same job can be done by A alone in

Select the correct answer

Solution!
(A's 1 day's work) / (B's 1 day's work) = 7/4

Let A's and B's 1 day's work be 7x and 4x respectively.

Then,
7x + 4x = 1/7
11x = 1/7
x = 1/77

Hence, A's 1 day's work = (1/77 * 7) = 1/11.

Question No 49

What is synonym of VENT ?

Select the correct answer

Solution!
No answer description available for this question..

Question No 50

What is found necessarily in game?

Select the correct answer

Solution!
No answer description available for this question..

Question No 51

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 52

Sum of three consecutive odd integers is 51. Which of the following is the smallest of the three?

Select the correct answer

Solution!
19+17+15 = 51.

Question No 53

Ali's swimming speed in still water is 18 km/h and speed of water is 6 km/h. How long will it take him to go downstream 72km?

Select the correct answer

Solution!
Ali's swimming speed in still water = u = 18 Km/h
Speed of water = v = 6 Km/h
Total speed down the stream = 18+6 = 24 Km/h

Distance to cover = 72 Km
time = ?

time = distance/speed = time = 72/24 = 3 hours..

Question No 54

Which one of the following is always with 'Bargain'?

Select the correct answer

Solution!
No answer description available for this question..

Question No 55

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

Select the correct answer

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 56

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

Select the correct answer

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 57

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 58

Choose the word which is different from the rest.

Select the correct answer

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

Question No 59

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 60

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?

Select the correct answer

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..
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