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

### Test Report

#### Question No 1

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 2

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..

#### Question No 3

Speed of water in certain river is 6 km/h and it takes a boat four times as long to row up as to row down the river. What is the speed of boat in still water?

Solution!
Let speed of boat in still water is x.
Speed of water = v = 6 Km/h
As downstream speed is four times the upstream speed so

(x+6) = 4(x-6)
x+6 = 4x-24
30 = 3x
x = 10

Hence speed of boat in still water is 10 Km/h.

#### Question No 4

A train running at the speed of 60 km/hr crosses a pole in 9 seconds.What is the length of the train?

Solution!
Speed = 60 * (5/18) = 50/3 m/sec

Length of the train = (Speed x Time) = (50/3) * 9 = 150 meters.

#### Question No 5

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 6

What is the angle between the hands of a clock at 1 o'clock?

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 7

Two trains are running in opposite directions with the same speed. If the length of each train is 120 metres and they cross each other in 12 seconds, then the speed of each train is

Solution!
Let the speed of each train be x m/sec.

Then, relative speed of the two trains = 2x m/sec.

So, 2x = (120 + 120)/12
2x = 20
x = 10

Hence, Speed of each train = 10 m/sec = 10 * (18/5)
= 36 km/hr.

#### Question No 8

A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present?

Solution!
Let the mother's present age be x years.

Then,
the person's present age = (2/5)x years.

(2/5)x + 8 = (1/2)(x + 8)
2(2x + 40) = 5(x + 8)
x = 40
.

#### Question No 9

What is 35% of 250?

Solution!
35 * (250/100) = 87.5

Quick way to find answer from options is

33% of 250 is nearly 83(250/3 = 83.3)

So, answer should be in 80's which is only one option 87.5.

#### Question No 10

What is average of 12 , 15 and 18?

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

#### Question No 11

Peacock is to India as Bear is to?

Solution!
As Peacock is the national bird of India, similarly Bear is the national animal of Russia..

#### Question No 12

Yesterday I saw an ice cube which had already melted due to heat of a nearby furnace.

Solution!
Since the ice cube had already melted due to the heat of a nearby furnace so after this ice cannot remain as ice cube..

#### Question No 13

A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in

Solution!
(A + B + C)'s 1 day's work = 1/6

(A + B)'s 1 day's work = 1/8

(B + C)'s 1 day's work = 1/12

So, (A + C)'s 1 day's work = (2* 1/6) - (1/8 + 1/12)
= (1/3 - 5/24) = (3/24) = 1/8

So, A and C together will do the work in 8 days..

#### Question No 14

Choose the word which is different from the rest.

Solution!
All except Park are halting places of various transport means..

#### Question No 15

CAROUSE is to SEDATE as ENTHUSE is to..

Solution!
No answer description available for this question..

#### Question No 16

2664/12/6=?

Solution!
(2664/12) * (1/6) = 37.

#### Question No 17

Oar is to rowboat as foot is to..

Solution!
An oar puts a rowboat into motion. A foot puts a skateboard into motion..

#### Question No 18

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 19

Two trains are moving in opposite directions at speed of 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train is

Solution!
Relative speed = (60+ 90) km/hr
= 150 * (5/18)m/s
= (125/3)m/s

Distance covered = (1.10 + 0.9) km = 2 km = 2000 m

Hence, Required time = 2000(3/125) = 48 seconds.

#### Question No 20

A pineapple costs Rs. 7 each. A watermelon costs Rs. 5 each. X spends Rs. 38 on these fruits. The number of pineapples purchased is

Solution!
Maximum PineApples that can be purchased are 5

But 5 is not in options so best answer is 4..

#### Question No 21

Speed of water in certain river is 2 km/h and it takes a boat thrice as long to row up as to row down the river. Find the speed of the boat in still water.

Solution!
Let speed of boat in still water is x.
Speed of water = v = 2 Km/h

As downstream speed in 3 times the upstream speed so
(x+2) = 3(x-2)
x+2 = 3x-6
8 = 2x
x = 4
Hence speed of boat in still water is 4 Km/h.

#### Question No 22

If A + B means A is the brother of B; A - B means A is the sister of B and A x B means A is the father of B. Which of the following means that C is the son of M?

Solution!
M x N = M is the father of N

N - C = N is the sister of C

and C + F = C is the brother of F.

Hence, M is the father of C or C is the son of M..

#### Question No 23

A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train?

Solution!
Speed = 72 * (5/18)m/s
= 20 m/s

Time = 26 sec

Let,
the length of the train be x metres

Then,
(x+250)/26 = 20

x + 250 = 520
x = 270.

#### Question No 24

cup is to lip as bird is to..

Solution!
Cup is used to drink something with the help of lips.
Similarly birds collects grass with the help of beak to make her nest..

#### Question No 26

Cup is to coffee as bowl is to..

Solution!
Coffee goes into a cup and soup goes into a bowl..

#### Question No 27

Deduct 7.3 from 34.2.

Solution!
34.2 - 7.3 = 26.9.

#### Question No 28

If P + Q means P is the brother of Q; P x Q means P is the wife of Q and P % Q means P is the daughter of Q then which of the following means D is the uncle of A?

Solution!
No answer description available for this question..

#### Question No 29

Find the correctly spelt word.

Solution!
No answer description available for this question..

#### Question No 30

A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in

Solution!
(B + C)'s 1 day's work = (1/9 + 1/12) = 7/36

Work done by B and C in 3 days = (7/36 * 3)
= 7/12

Remaining work = (1 - 7/12)
= 5/12

Now, 1/24 work is done by A in 1 day.

So, 5/12 work is done by A in (24 * 5/12) = 10 days..

#### Question No 31

A mother's age after 5 years, will be twice the age of her daughter. The difference of their ages is 19. What is the age of mother?

Solution!
Let present age of daughter is x and present age of mother is y.

Given that
y+5 = 2(x+5)
y+5 = 2x+10
5-10 = 2x-y
y-2x = 5 ...(1)

and also given that
y-x = 19 ...(2)

By simultaneously solving equation(1) and equation(2) we can find
y = 33

Hence mothers present age is 33 years..

#### Question No 32

The ages of C and D are in 6/11 and E is 6 years younger than D. If the sum of ages is 134, then what is the age of D?

Solution!
Given that
C/D = 6/11
C = (6/11)D ...(1)

and
C+D+E = 134

As E is 6 years younger from D so we can put D-6 instead of D
C+D+D-6 = 134
C+2D = 140
Put value of C from equation(1)
(6/11)D+2D = 140
6D+22D = 140
28D = 1540
D = 55

Hence D is 55 years old..

#### Question No 33

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

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

#### Question No 34

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

Solution!
Lightning is produced from a discharge of electricity, so electricity is essential. Thunder and rain are not essential to the production of lightning (choices b and d). Brightness may be a byproduct of lightning, but it is not essential (choice c)..

#### Question No 35

100 , 96.75 , 93.5 , 90.25 , 87 , ?

Solution!
Deduct 3.25 each time..

#### Question No 36

BOAST is to LANGUAGE as SWAGGER is to..

Solution!
No answer description available for this question..

#### Question No 37

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 38

A train of length 150 metres is running at the speed of 20m/s. In what time will it cross a 130 metre long bridge?

Solution!
Length of the train = L1 = 150m
Length of bridge = L2 = 130m
Speed = v = 20m/s

t = (L1 + L2)/v
t = (150+130)/20
t = 14

Hence the train will pass the 130 meter long bridge in 14 seconds..

#### Question No 39

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?

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 40

The ratio of the ages of two friends A and B is 3/2. However if the age of A is decreased by 10 and that of B is increased by 10 then the original ratio is reversed. Age of A is

Solution!
Given that
A/B = 3/2
2A = 3B
2A-3B = 0 ...(1)

and also given that
(A-10)/(B+10) = 2/3
3A-30 = 2B+20
3A-2B = 50 ...(2)

By simultaneously solving equation(1) and equation(2)
A = 30

Hence age of A is 30 years..

#### Question No 41

Seen through a mirror, the arms of a clock show 9:30 what is the actual time?

Solution!
No answer description available for this question..

#### Question No 42

If P + Q means P is the brother of Q; P x Q means P is the father of Q and P - Q means P is the sister of Q, which of the following relations shows that I is the niece of K?

Solution!
K + Y = K is the brother of Y

Y x I = Y is the father of I

Hence, K is the uncle of I

and I - Z = I is the sister of Z

Hence, I is the niece of K..

What will be the selling price of an article that was bought for $350 and sold at a loss of 14%? #### Select the correct answer Solution! 14% of 350 (350*14)/100 = 49 selling price of the article = 350 - 49 = 301. #### Question No 44 Which of the following is the least number which is divisible by both 12 and 18? #### Select the correct answer Solution! Least common multiple of 12 and 18 is 36. #### Question No 45 If P$ Q means P is the father of Q; P # Q means P is the mother of Q and P * Q means P is the sister of Q, then N # L \$ P * Q shows which of the relation of Q to N?

Solution!
As the sex of Q is not known, hence, data is inadequate..

#### Question No 46

Kamal was 4 times as old as his son 8 years ago. After 8 years, Kamal will be twice as old as his son. Find out the present age of Kamal.

Solution!
Let the age of the son before 8 years = x

Then age of Kamal before 8 years ago = 4x

After 8 years, Kamal will be twice as old as his son

4x + 16 = 2(x + 16)
x = 8

Present age of Kamal = 4x + 8 = (4*8) + 8 = 40.

#### Question No 47

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

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 48

Veena who is the sister-in-law of Ashok, is the daughter-in-law of Kalyani. Dheeraj is the father of Sudeep who is the only brother of Ashok. How Kalyani is related to Ashok?

Solution!
Ashok is the only brother of Sudeep and Veena is the sister-in-law of Ashok.

Hence Veena is the wife of Sudeep.

Kalyani is the mother-in-law of Veena.
Kalyani is the mother of Ashok..

#### Question No 49

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 50

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

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

#### Question No 51

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?

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 52

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..

#### Question No 53

A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work?

Solution!
B's 10 day's work = (1/15 * 10) = 2/3

Remaining work = (1 - 2/3) = 1/3

Now, 1/18 work is done by A in 1 day.

Hence, 1/3 work is done by A in (18 * 1/3) = 6 days..

#### Question No 54

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..

#### Question No 55

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 56

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 57

When R is divided by 7 remainder is 3. What is the remainder when 3R is divided by 7?

Solution!
No answer description is available for this question..

#### Question No 58

How many years have 29 days in February from 2001 to 2100.

Solution!
100th year is not a leap year.
So 24 February's has 29 days..

#### Question No 59

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

Solution!
Words are a necessary part of language. Slang is not necessary to language (choice b). Not all languages are written (choice c).Words do not have to be spoken in order to be part of a language (choice a)..

#### Question No 60

A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?

Solution!
Ratio of times taken by A and B = 100/130 = 10/13

Suppose B takes x days to do the work.

Then, 10/13 = 23/x
x = (23*13)/10
x = 299/10

A's 1 day's work = 1/23

B's 1 day's work = 10/299

(A + B)'s 1 day's work = (1/23 + 10/299) = 23/299 = 1/13

Therefore, A and B together can complete the work in 13 days..
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