IQ Test, Mental Aptitude, Logical Reasoning & Mathematical Tests

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Test Report

Question No 1

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 2

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 3

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 4

EMIT is to MITE as EVIL is to..

Select the correct answer


Solution!
No answer description available for this question..

Question No 5

The speed of a boat in still water in 15 km/hr and the rate of current is 3 km/hr. The distance travelled downstream in 12 minutes is

Select the correct answer


Solution!
Speed downstream = (15 + 3) kmph = 18 kmph

Distance travelled = 18 * (12/60)km = 3.6 km.

Question No 6

Artist is to painting as senator is to..

Select the correct answer


Solution!
An artist makes paintings; a senator makes laws..

Question No 7

What is average of 12 , 15 and 18?

Select the correct answer


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

Question No 8

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


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 9

A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 68 km downstream.

Select the correct answer


Solution!
Speed downstream = (13 + 4) km/hr = 17 km/hr

Time taken to travel 68 km downstream = (68/17)hrs
= 4 hours.

Question No 10

A man was accompanying a girl, on being asked who the girl was the man said, "Her father was the only son of my father". What was the girl to man?

Select the correct answer


Solution!
If I am a boy and I am only son of my father it means I am talking about myself.

Same is the case here man is father of the girl..

Question No 11

A disease always has

Select the correct answer


Solution!
No answer description available for this question..

Question No 12

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 13

Management always involves

Select the correct answer


Solution!
No answer description available for this question..

Question No 14

A group of workers can do a piece of work in 24 days. However as 7 of them were absent it took 30 days to complete the work. How many people actually worked on the job to complete it?

Select the correct answer


Solution!
Let x workers are required to complete the job.
As workers and days are inversely proportional to each other so
(x-7)/x = 24/30
30x - 210 = 24x
6x = 210
x = 35

Hence 35 workers are required to complete the job in time..

Question No 15

P is the mother of K; K is the sister of D; D is the father of J. How is P related to J?

Select the correct answer


Solution!
P is the mother of K

K is the sister of D

D is the father of J.

Therefore, J is the nephew or niece of K and P is the grandmother of J..

Question No 16

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 17

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?

Select the correct answer


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 18

Which one of the following is always found in 'Phrase'?

Select the correct answer


Solution!
No answer description available for this question..

Question No 19

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?

Select the correct answer


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 20

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

Select the correct answer


Solution!
Water is essential for swimming-without water, there is no swimming. The other choices are things that may or may not be present..

Question No 21

Sachin is younger than Rahul by 7 years. If their ages are in the respective ratio of 7/9, how old is Sachin?

Select the correct answer


Solution!
Let Rahul's age be x years.

Then,
Sachin's age = (x - 7) years.

(x-7)/x = 7/9
9x - 63 = 7x
2x = 63
x = 31.5

Hence, Sachin's age =(x - 7)= 24.5 years.

Question No 22

Find the odd man out.

Select the correct answer


Solution!
Remaining are names of British Kings..

Question No 23

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 24

The calendar for the year 2007 will be the same for the year ...

Select the correct answer


Solution!
Count the number of odd days from the year 2007 onwards to get the sum equal to 0 odd day.

Year 2007 has 1 odd day
2008 has 2 odd day
2009 has 1 odd day
2010 has 1 odd day
2011 has 1 odd day
2012 has 2 odd day
2013 has 1 odd day
2014 has 1 odd day
2015 has 1 odd day
2016 has 2 odd day
2017 has 1 odd day

Sum = 14 odd days = 0 odd days.

Hence, Calendar for the year 2018 will be the same as for the year 2007..

Question No 25

A bus covers a distance of 60 Km in 1.5 hr. How far it would travel in half hour.

Select the correct answer


Solution!
Distance covered in 1.5 hr = 60

Distance covered in 1 hr = 60/1.5 = 40 Km

Distance Covered in 0.5 hr = 40 * 0.5 = 20.

Question No 26

A said to B, My mother gave birth to a child, who was neither my brother nor my sister. Can you guess who was the child?

Select the correct answer


Solution!
A's mother gave birth to A and A has no brother and no sister.
He is just talking about himself..

Question No 27

What is the angle between the hands of a clock at 7:05 am?

Select the correct answer


Solution!
At 7:05 hour hand is nearly at 7
Minute hand is at 1

Angle between 7 and 1 is 180 degree.

Hour hand move 1/2 degree in one minute.

In 5 Minutes hour hand will move 1/2 * 5 = 2.5 degree

Hence, Angle between hands is 180 - 2.5 = 177.5 degree.

Question No 28

Find the correctly spelt word.

Select the correct answer


Solution!
No answer description available for this question..

Question No 29

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

Select the correct answer


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 30

A * B means A is the sister of B , A $ B means B is the mother of A , A + B means A is the brother of B , A = B means B is the father of A ; Which of the following means M is the maternal uncle of N?

Select the correct answer


Solution!
No answer description available for this question..

Question No 31

Reptile is to lizard as flower is to..

Select the correct answer


Solution!
A lizard is a type of reptile; a daisy is a type of flower..

Question No 32

11th of April falls on Tuesday, what day will the last day of the month April occurs.

Select the correct answer


Solution!
Tuesday will be on 11, 18 and 25 then 30th April will be on Sunday..

Question No 33

Price of an article increased from $50 to $55. What is the percentage increase?

Select the correct answer


Solution!
Increase in price = 55-50 = 5
Percentage increase = (5/50)*100
=10%.

Question No 34

Choose the word which is different from the rest.

Select the correct answer


Solution!
All except Argentina are continents, while Argentina is a country..

Question No 35

100 , 96.75 , 93.5 , 90.25 , 87 , ?

Select the correct answer


Solution!
Deduct 3.25 each time..

Question No 36

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 37

Anil's swimming speed in still water is 14 km/h and speed of water is 4 km/h. How long will it take him to go upstream 50 km?

Select the correct answer


Solution!
Anil's swimming speed in still water = u = 14 Km/h
Speed of water = v = 4 Km/h
Total upstream speed = u-v = 14-10 = 10 Km/h
Distance to cover = S = 50Km

time = distance/speed
By putting values
time = t = 50/10 = 5 hours.

Question No 38

My mother is sister of your brother. What am I to you?

Select the correct answer


Solution!
"My mother is sister of your brother" you are brother of my mother and I am your nephew..

Question No 39

How many times in a day, the hands of a clock are straight?

Select the correct answer


Solution!
In 12 hours, the hands coincide or are in opposite direction 22 times.

So, In 24 hours, the hands coincide or are in opposite direction 44 times a day..

Question No 40

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 41

SLUGGARD is to ENERGY as SLATTERN is to..

Select the correct answer


Solution!
No answer description available for this question..

Question No 42

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

Select the correct answer


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

Question No 43

The angle between the minute hand and the hour hand of a clock when the time is 4:20, is ?

Select the correct answer


Solution!
Angle traced by hour hand in 13/3 hrs = (360/12 * 13/3) = 130 degree

Angle traced by minute hand in 20 min = (360/60 * 20) = 120 degree

So, required angle = 130 - 120 = 10 degree.

Question No 44

Sandeep's age after six years will be three-seventh of his father's age. Ten years ago the ratio of their ages was 1/5. What is Sandeep's father's age at present?

Select the correct answer


Solution!
Let the age of Sandeep and his father before 10 years be x and 5x respectively.

Given that Sandeep's age after six years will be three-seventh of his father's age

x + 16 = (3/7)(5x + 16)
7x + 112 = 15x + 48
8x = 64
x = 8

Sandeep's father's present age = 5x + 10
= 5*8 + 10 = 50.

Question No 45

Find the odd man out.

Select the correct answer


Solution!
No answer description available for this question..

Question No 46

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 47

X is 4 times as old as y. 4 years ago, X was 10 times as old as Y. What will be the ratio of their ages 6 years hence?

Select the correct answer


Solution!
Given that
X = 4Y ...(1)

and
X-4 = 10(Y-4)
X-4 = 10Y-40
X-10Y = -36
10Y-X = 36 ...(2)

Put value of X from equation(1) in equation(2)
10Y-4Y = 36
6Y = 36
Y = 6

Put value of Y in equation(1)
X = 4*6
X = 24

After 6 years
Y = 24+6
Y = 30
and
X = 6+6
X = 12

Ratio between X and Y is
30/12 = 5/2

Hence after 6 years ratio between ages of X and Y will be 5/2..

Question No 48

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 49

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

Select the correct answer


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

Question No 50

John sold a house for $494500 at a profit of 15%. How much did he pay for it?

Select the correct answer


Solution!
Let cost price of the house is x.
15% of x = 15x/100 = 3x/20

Now
494500 - (3x/20) = x
9890000 -3x = 20x
9890000 = 23x
x = 430000

Hence cost price of the house is $430000..

Question No 51

The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age will be twice that of his son. The ratio of their present ages is

Select the correct answer


Solution!
Let the ages of father and son 10 years ago be 3x and x years respectively.

Then,
(3x + 10) + 10 = 2[(x + 10) + 10]
3x + 20 = 2x + 40
x = 20
So, 3x + 10 = 70
and x + 10 = 30

Hence, ratio is 70/30 = 7/3..

Question No 52

What will be the selling price of an article that was bought for $350 and sold at a loss of 14%?

Select the correct answer


Solution!
14% of 350
(350*14)/100 = 49

selling price of the article = 350 - 49 = 301.

Question No 53

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?

Select the correct answer


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 54

What is 8/40 expressed as a decimal?

Select the correct answer


Solution!
Simple way is

(8/4) * (1/10) = 2 * 0.1 = 0.2.

Question No 55

What is 126 divided by 3?

Select the correct answer


Solution!
126 / 3 = 42.

Question No 56

What is synonym of AUGUST ?

Select the correct answer


Solution!
No answer description available for this question..

Question No 57

You are the son of my father's brother. What am I to you?

Select the correct answer


Solution!
You are my uncle's child and I am your cousin..

Question No 58

FRANKENSTEIN is to SHELLEY as DRACULA is to..

Select the correct answer


Solution!
No answer description available for this question..

Question No 59

If selling price is doubled, the profit triples. Find the profit percent.

Select the correct answer


Solution!
Let
C.P. be Rs. x and S.P. be Rs. y.

Then,
3(y - x) = (2y - x)
y = 2x

Profit = Rs. (y - x) = Rs. x

Profit % = (x/x)*100 = 100%.

Question No 60

Cost price of a camera was $430 and it was sold at profit of 16%. What is its selling price?

Select the correct answer


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

Selling price = 430 + 68.8 = 498.8.
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