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

### Test Report

#### Question No 1

Meena is thrice as old as Sheraz. Fatima will be twice as old as Meena 6 years hence. Six years ago Sheraz was five years old. What is Fatima's present age?

#### Select the correct answer

Solution!
Let present age of Sheraz is x and present age of Fatima is y.

So,
Meena's age = 3x

Given that
y+6 = 2(3x+6) ...(1)
and
x-6 = 5
x = 11

Put value of x in equation(1)

y+6 = 2(33+6)
y+6 = 78
y = 72

Hence Fatima's present age is 72 years..

#### Question No 2

A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is

#### Select the correct answer

Solution!
Let the length of the train be x metres and its speed by y m/sec.

Then, x/y = 15
y = x/15

So, (x+100)/25 = x/15
15(x + 100) = 25x
15x + 1500 = 25x
1500 = 10x
x = 150 m.

#### Question No 3

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

#### Select the correct answer

Solution!
All shoes have a sole of some sort.Not all shoes are made of leather (choice b); nor do they all have laces (choice c).Walking (choice d) is not essential to a shoe..

#### Question No 4

If 14th August falls on Monday, then what will be the day on 14th September.

#### Select the correct answer

Solution!
Monday will fall on 14, 21 and 28th August. By taking into account that August has 31 days 1st September will be fall on Friday. So, 7th and 14th September will be on Friday..

#### Question No 5

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 6

If A + B means B is the brother of A; A x B means B is the husband of A; A - B means A is the mother of B and A % B means A is the father of B, which of the following relations shows that Q is the grandmother of T?

#### Select the correct answer

Solution!
Q - P = Q is the mother of P

P + R = R is the brother of P

Hence, Q is the mother of R

R % T = R is the father of T.

Hence, Q is the grandmother of T..

#### Question No 7

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 8

Pride is to lion as school is to..

#### Select the correct answer

Solution!
A group of lions is called a pride. A group of fish swim in a school..

#### Question No 9

A boat covers a certain distance downstream in 1 hour, while it comes back in 1.5 hours. If the speed of the stream be 3 kmph, what is the speed of the boat in still water?

#### Select the correct answer

Solution!
Let the speed of the boat in still water be x kmph.

Then,
Speed downstream = (x + 3) kmph

Speed upstream = (x - 3) kmph

So, (x + 3) * 1 = (x - 3)* 3/2
2x + 6 = 3x - 9

Hence, x = 15 kmph.

#### Question No 10

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?

#### Select the correct answer

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 11

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 12

College is to Student as Hospital is to?

#### Select the correct answer

Solution!
As Students read in College similarly Patients are treated in Hospital..

#### Question No 13

230 meters long train crosses a man sitting on the platform in 46 seconds. What is the speed of the train?

#### Select the correct answer

Solution!
Length of the train = L = 230m
Time = t = 46s
Speed = v = ?

V = L/t
By putting values
v = 230/46 = 5m/s

Hence speed of the train is 5m/s..

#### Question No 14

Pointing to a lady a person said, "The son of her only brother is the brother of my wife." How is the lady related to the person?

#### Select the correct answer

Solution!
Brother of person's wife is brother-in-law of the person.

Hence, the son of lady's brother is brother-in-law of the person.

Therefore, the brother of the lady is the father-in-law of the person. Hence, the lady is the sister of the person's father-in-law..

#### Select the correct answer

Solution!
A will get half amount which B got.So if A's amount is 40, B's amount will be 80 (double of A's amount)..

#### Question No 34

A boat travels at the speed of 25 km/h upstream and 35 km/h downstream. Find the speed of water.

#### Select the correct answer

Solution!
Upstream speed = y = 25 Km/h
Downstream speed = x = 35 Km/h
Speed of water = (1/2)*(x-y)
= (1/2)*(35-35) = 5 Km/h.

#### Question No 35

In a fort there is enough food sufficient for 1200 men for 10 days. How long the food would have last for if there would have been 1000 men.

#### Select the correct answer

Solution!
Let food will last for x days.
As men and days are inversely proportional to each other so
x/10 = 1200/1000
x = 12

Hence food will last for 12 days if there were 1000 men..

#### Question No 36

Choose the word which is different from the rest.

#### Select the correct answer

Solution!
All except Sitar are wind instruments, while sitar is a string instrument..

#### Question No 37

OUTWIT is to RUSE as FRUSTRATE is to..

#### Select the correct answer

Solution!
No answer description available for this question..

#### Question No 38

Find the odd man out.

#### Select the correct answer

Solution!
No answer description available for this question..

#### Question No 39

The sum of the present ages of a mother and daughter is 63. Three years back if the age of the mother was double that of the daughter, then the present age of the daughter is

#### Select the correct answer

Solution!
Let mother's present age is x and daughters present age is y

Given that
x+y = 63 ...(1)
and

x-3 = 2(y-3)
x-3 = 2y-6
x-2y = -6+3
x-2y = -3 ...(2)

By simultaneously solving equation(1) and equation(2) We'll find
y = 22

Hence present age of the daughter is 22 years..

#### Question No 40

Ali bought a house for $450000 and sold it for$500000. What is his profit percentage?

#### Select the correct answer

Solution!
Profit = 500000-450000 = 50000

Profit percentage= (50000/450000)*100 = 11.11%.

#### Question No 41

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

#### Select the correct answer

Solution!
To harvest something, one must have a crop, which is the essential element for this item. Autumn (choice a) is not the only time crops are harvested. There may not be enough of a crop to stockpile (choice b), and you can harvest crops without a tractor (choice c)..

#### Question No 42

A, B and C can complete a piece of work in 24, 6 and 12 days respectively.Working together,they will complete the same work in

#### Select the correct answer

Solution!
As we know that
If A can do a piece of work in n days, then A's 1 day's work = 1/n

(A + B + C)'s 1 day's work = (1/24 + 1/6 + 1/12) = 7/24

If A's 1 day's work = 1/n then,
A can finish the work in 'n' days.

So, all the three together will complete the job in (24/7) days..

#### Question No 43

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?

#### Select the correct answer

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 44

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 45

Danger always involves

#### Select the correct answer

Solution!
No answer description available for this question..

#### Question No 46

If the number 5r2 is divisible by 6, then r = ?

#### Select the correct answer

Solution!
572 is completely divisible by 6..

#### Question No 47

With an increase of 12% salary of Ali became Rs13440. What was his salary before increase?

#### Select the correct answer

Solution!
Let before increase Ali's salary was x.
12% of x = 12x/100 = 3x/25

Now
13440 - 3x/25 = x
336000 - 3x = 25x
336000 = 28x
x = 12000

Hence Ali's salary before increase was Rs. 12000.

#### Question No 48

What is 35% of 250?

#### Select the correct answer

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 49

What will be the day of the week 15th August, 2010?

#### Select the correct answer

Solution!
15th August, 2010 = (2009 years + Period 1.1.2010 to 15.8.2010)

Odd days in 1600 years = 0

Odd days in 400 years = 0

9 years = (2 leap years + 7 ordinary years) = (2 x 2 + 7 x 1) = 11 odd days = 4 odd days.

From January to 15 August (31 + 28 + 31 + 30 + 31 + 30 + 31 + 15) = 227 days

227 days = (32 weeks + 3 days) = 3 odd days.

Total number of odd days = (0 + 0 + 4 + 3) = 7.

Hence, Given day is Sunday..

#### Question No 50

The product of the ages of two class fellows is 24. If the greater fellow is 3/2 times the smaller one, then the age of the smaller fellow is

#### Select the correct answer

Solution!
Let present age of the greater fellow is x and present age of smaller fellow is y.

Given that xy = 24 ...(1)
and

x = (3/2)y
Put value of x in equation(1).

(3/2)y^2 = 24
y^2 = 24*(2/3)
y^2 = 16
y = 4

Hence age of smaller fellow is 4 years..

#### Question No 51

If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be

#### Select the correct answer

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

Then, 6x + 8y = 1/10
and 26x + 48y = 1/2

Solving these two equations, we get
x = 1/100
and y = 1/200

(15 men + 20 boy)'s 1 day's work = (15/100 + 20/200) = 1/4

Hence, 15 men and 20 boys can do the work in 4 days..

#### Question No 52

What is the angle between the hands of a clock at 8:50 am?

#### Select the correct answer

Solution!
At 8:50 hour hand is nearly at 8
Minute hand is at 10

Angle between 8 and 10 is 60 degree.

Hour hand move 1/2 degree in one minute.

In 50 Minutes hour hand will move 1/2 * 50 = 25 degree

Hence, Angle between hands is 60 - 25 = 35 degree.

#### Question No 53

what is Antonym of CHECK ?

#### Select the correct answer

Solution!
No answer description available for this question..

#### Question No 54

EMIT is to MITE as EVIL is to..

#### Select the correct answer

Solution!
No answer description available for this question..

#### Question No 55

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

Solution!
19+17+15 = 51.

#### Question No 56

Reaching a party day before yesterday, I found myself two days late. If day after tomorrow is Friday. On what day was the party scheduled to be held?

#### Select the correct answer

Solution!
As day after tomorrow is Friday so tomorrow is Thursday, today is Wednesday, yesterday was Tuesday and day before yesterday was Monday. Today before the day before yesterday was Saturday. Hence party was scheduled on Saturday..

#### Question No 57

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. ?

#### Select the correct answer

Solution!
No answer description available for this question..

#### Question No 58

A number is thrift if it is a multiple of 2 or 3. How many thrift numbers are there between 0 and 15?

#### Select the correct answer

Solution!
Thrift numbers between 0 and 15 are following

2,3,4,6,8,9,10,12,14.

#### Question No 59

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

#### Select the correct answer

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

#### Question No 60

January 1, 2007 was Monday. What day of the week lies on Jan. 1, 2008?

#### Select the correct answer

Solution!
The year 2007 is an ordinary year. So, it has 1 odd day.

1st day of the year 2007 was Monday.

1st day of the year 2008 will be 1 day beyond Monday.

Hence, it will be Tuesday..
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