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

### Test Report

#### Question No 1

By how many degrees does the minute hand move in the same time, in which the hour hand move by 18 degree?

Solution!
18*2 *6 = 216 degree

.

#### Question No 2

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 3

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 4

The miser gazed ...... at the pile of gold coins in front of him.

Solution!
No answer description available for this question..

#### Question No 5

What is Antonym of RELINQUISH ?

Solution!
No answer description available for this question..

#### Question No 6

SYNTHESIS is to PARTS as CONFLUENCE is to..

Solution!
No answer description available for this question..

#### Question No 7

Anupam said to a lady sitting in a car, "The only daughter of the brother of my wife is the sister-in-law of the brother of your sister." How the husband of the lady is related to Anupam?

Solution!
Anupam's son-in-law is the brother of the lady who was sitting in the car. Hence, the husband is also the son-in-law of Anupam..

#### Question No 8

Find the odd man out.

Solution!
No answer description available for this question..

#### Question No 9

A train 800 metres long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel (in meters) is

Solution!
Speed = 78 * (5/18) = 65/3 m/s

Time = 1 minute = 60 seconds

Let the length of the tunnel be x metres

Then,
(800+x)/60 = 65/3
3(800 + x) = 3900

Hence, x = 500.

#### Question No 10

Pointing to a person, Deepak said, "His only brother is the father of my daughter's father". How is the person related to Deepak?

Solution!
Father of Deepak's daughter's father = Deepak's father.

Hence, the person in the brother of Deepak's father.

Therefore, the person is the uncle of Deepak..

#### Question No 11

Price of a mobile phone is Rs. 8,000. A man has enough money to purchase 3 mobiles. How many mobile can he purchase if the price is reduced by Rs. 2000?

Solution!
Minimum amount of money that he has = 8,000 * 3 = 24,000

If price is reduced to 6,000, he can purchase 24,000/6,000 = 4.

#### Question No 12

How many non-leap years are there from 1801 to 1900?

Solution!
Leap year comes after 4 years
In one century there will be 24 leap years

Hence, there will be 76 non leap years from 1801 to 1900..

#### Question No 13

An accurate clock shows 8 o'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?

Solution!
Angle traced by the hour hand in 6 hours = (360/12)*6 = 180 degree.

#### Question No 14

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?

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 15

A man can row 1 km upstream in 20 minutes, and downstream in 15 minutes. What is the speed of the current?

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 water = (1/2)*(4-3) = 1/2 = 0.5 Km/h.

#### Question No 16

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 17

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

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

#### Question No 18

The grapes are now ...... enough to be picked.

Solution!
No answer description available for this question..

#### Question No 19

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.

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

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

#### Question No 20

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

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 21

A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?

Solution!
Whole work is done by A in (20 * 5/4) = 25 days

Now, (1 - 4/5) i.e., 1/5 work is done by A and B in 3 days.

Whole work will be done by A and B in (3 x 5) = 15 days.

A's 1 day's work = 1/25
(A + B)'s 1 day's work = 1/15

So, B's 1 day's work = (1/15 - 1/25) = 4/150 = 2/75

Hence, B alone would do the work in 75/2 = 37.5 days..

#### Question No 22

Father is aged three times more than his son Ronit. After 8 years, he would be two and a half times of Ronit's age. After further 8 years, how many times would he be of Ronit's age?

Solution!
Let Ronit's present age be x years. Then, father's present age =(x + 3x) years
= 4x years.

(4x + 8) = 5/2 (x+8)
8x + 16 = 5x + 40
3x = 24
x = 8

Hence, required ratio = (4x+16)/(x+160)
= 48/24 = 2.

#### Question No 23

Choose the word which is different from the rest.

Solution!
All except Scallop live in shells..

#### Question No 24

The 15th of the month falls on the day preceding Sunday, on what day will the 6th of the month fall?

Solution!
As on 15th of the month day is Saturday so on 8th the day will also Saturday. Hence on 6th of the month day will be Thursday(Two days before Saturday)..

#### Question No 25

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 26

X can do a piece of work in 40 days.He works at it for 8 days and then Y finished it in 16 days.How long will they together take to complete the work?

Solution!
Work done by X in 8 days = (1/40 * 8)
= 1/5

Remaining work = (1 - 1/5)
4/5

Now, 4/5 work is done by Y in 16 days.

Whole work will be done by Y in (16 * 5/4)
= 20 days

So,
X's 1 day's work = 1/40
Y's 1 day's work = 1/20

(X + Y)'s 1 day's work = (1/40 + 1/20) = 3/40

Hence, X and Y will together complete the work in 40/3 days.

#### Question No 27

A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?

Solution!
Relative speed = (120 + 80) km/hr
= 200(5/18)m/s
= (500/9)m/s

Let the length of the other train be x metres

Then,
(x+270)/9 = 500/9
x + 270 = 500

Hence, x = 230.

#### Question No 28

If one third of the staff at school are teachers find the ratio between teachers to non-teachers.

Solution!
ratio of teachers = 1/3

ratio of non-teachers = 2/3

Ratio of teachers to non-teachers = (1/3) * (3/2) = 1/2.

#### Question No 29

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?

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 30

A is 3 years older to B and 3 years younger to C, while B and D are twins. How many years older is C to D?

Solution!
C is 3 years older to A and A is 3 years older to B which has same age as D

So, C is 3+3 = 6 years older to D..

#### Question No 31

A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is

Solution!
Speed of the train relative to man = (125/10) m/s
= (25/2)m/s
= (25/2) * (18/5)km/hr
= 45 km/hr

Let the speed of the train be x km/hr.
Then,
relative speed = (x - 5) km/hr

x - 5 = 45
Hence, x = 50 km/hr.

#### Question No 32

A train travelling at the speed of 10m/s can cross a bridge in 23 seconds. If length of the train is 120 meters. What is length of the bridge?

Solution!
Speed = v = 10m/s
Time = t = 23s
Length of train = L1 = 120m
Length of bridge = L2 = ?

t = (L1+L2)/v
By putting values
23 = (120+L2)/10
L2 = 230 - 120 = 110m

Hence bridge is 110m long..

#### Question No 33

What is synonym of BRIEF ?

Solution!
No answer description available for this question..

#### Question No 34

7/21 in lowest term is?

Solution!
7/21 = 1/3.

#### Question No 35

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 36

2012 January 1st is Sunday,then which day is the Indian Independence day of the same year.

Solution!
30+ 29+ 31 + 30 + 31 + 30 + 31+15 = 227/7 = reminder = 3

So, Independence day is Wednesday..

#### Question No 37

Price of a car increased from $400000 to$420000. What is the percentage increase?

Solution!
Increase in price = 420000 - 400000
= 20000

Percentage increase = (20000/400000)*100
= 5%.

#### Question No 38

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 39

X & Y are the parents of Z but Z is not the son of X. What is Z to X.

Solution!
X and Y are parents of Z. But Z is not the son of X its mean Z is the daughter of X..

#### Question No 40

Find the odd man out.

Solution!
All except Quiet express the same meaning..

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 42 At present, the ratio between the ages of Arun and Deepak is 4/3. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present ? #### Select the correct answer Solution! Let the present ages of Arun and Deepak be 4x years and 3x years respectively. Then, 4x + 6 = 26 4x = 20 x = 5 Hence, Deepak's age = 3x = 15 years.. #### Question No 43 1 , 1 , 2 , ? , 24 , 120 , 720 #### Select the correct answer Solution! Multiply by 1, 2, 3 and so on.... #### Question No 44 John's income increased from$12000 to \$14400. What is percentage increase in his income?

Solution!
Increase in income = 14400 - 12000 = 2400

Percentage increase = (2400/12000)*100 = 20%.

#### Question No 45

Find the correctly spelt word.

Solution!
No answer description available for this question..

#### Question No 46

Deduct 7.3 from 34.2.

Solution!
34.2 - 7.3 = 26.9.

#### Question No 47

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 48

What is 5/9 of 270?

Solution!
(5/9) * 270 = 150.

#### Question No 49

A and B are sisters. C and D are brothers. A is the mother of D, what is the relation of B to C.

Solution!
As A is mother of D so A is also mother of C because C and D are brothers.

B is sister of A which means B is Aunt of both C and D..

#### Question No 50

David can swim at the speed of 30 km/h in still water and speed of water is 4 km/h. What is his speed of swimming against the direction of water?

Solution!
David's speed in still water = u = 30 Km/h
Speed of water = v = 4 Km/h
David's swimming speed against water = u-v = 30-4 = 26 Km/h.

#### Question No 51

Rahul put his timepiece on the table in such a way that at 6 P.M. hour hand points to North. In which direction the minute hand will point at 9.15 P.M. ?

Solution!
No answer description available for this question..

#### Question No 52

Amit said - "This girl is the wife of the grandson of my mother". How is Amit related to the girl?

Solution!
The girl is the wife of grandson of Amit's mother i.e., the girl is the wife of son of Amit.

Hence, Amit is the father-in-law of the girl..

#### Question No 53

Average of 3 numbers is 15. What is the sum of 3 numbers?

Solution!
Let sum is x.

x/3 = 15
x = 15*3 = 45.

#### Question No 54

100 , 96.75 , 93.5 , 90.25 , 87 , ?

Solution!
Deduct 3.25 each time..

#### Question No 55

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 56

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?

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 57

Find the odd man out.

Solution!
Other three are different type of windows..

#### Question No 58

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

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 59

The grapes are now ...... enough to be picked.

Solution!
No answer description available for this question..

#### Question No 60

If A + B means A is the mother of B; A - B means A is the brother B; A % B means A is the father of B and A x B means A is the sister of B, which of the following shows that P is the maternal uncle of Q?