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

### Test Report

#### Question No 1

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

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..

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?

Solution!
No answer description available for this question..

#### Question No 31

Reptile is to lizard as flower is to..

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.

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?

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.

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

#### Question No 35

100 , 96.75 , 93.5 , 90.25 , 87 , ?

Solution!
Deduct 3.25 each time..

#### Question No 36

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 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?

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?

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?

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?

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..

Solution!
No answer description available for this question..

#### Question No 42

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

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 ?

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?

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.

Solution!
No answer description available for this question..

#### Question No 46

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 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?

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?

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

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

#### 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

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..