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

### Test Report

378 * ? = 252

Solution!
252 / 378 = 2/3.

#### Question No 2

Present ages of Sameer and Anand are in the ratio of 5/4 respectively. Three years hence, the ratio of their ages will become 11/9 respectively. What is Anand's present age in years?

Solution!
Let the present ages of Sameer and Anand be 5x years and 4x years respectively.

Then,
(5x+3)/(4x+3) = 11/9
9(5x + 3) = 11(4x + 3)
45x + 27 = 44x + 33
45x - 44x = 33 - 27
x = 6

nand's present age = 4x = 24 years.

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. #### Question No 4 DAPPLED is to SPOTS as RIDDLED is to.. #### Select the correct answer Solution! No answer description available for this question.. #### Question No 5 On selling 17 balls at$720, there is a loss equal to the cost price of 5 balls.The cost price of a ball is

Solution!
(C.P. of 17 balls) - (S.P. of 17 balls) = (C.P. of 5 balls)

C.P. of 12 balls = S.P. of 17 balls = $720 C.P. of 1 ball =$60.

#### Question No 6

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

Solution!
No answer description available for this question..

#### Question No 7

Choose the word which is different from the rest.

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

#### Question No 8

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

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 9

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?

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 10

Which one of the following is always associated with 'tree'?

Solution!
No answer description available for this question..

#### Question No 11

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 12

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

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

#### Question No 13

If p is and odd integer and 7p > 50 and 3p < 35 then p is?

Solution!
7*11 = 77 (greater than 35) and 3*7 = 33 (lesser than 35)

*Note that 8 is also true but in question it is explicitly said that integer must be odd..

#### Question No 14

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 15

Introducing Sonia, Aamir says, "She is the wife of only nephew of only brother of my mother." How Sonia is related to Aamir?

Solution!
Brother of mother means maternal uncle.

Hence only nephew of Aamir's maternal uncle means Aamir himself.

Therefore Sonia is the wife of Aamir..

#### Question No 16

What is the angle between the hands of a clock at 3:35 pm?

Solution!
At 3:35 hour hand is nearly at 3
Minute hand is at 7

Angle between 3 and 7 is 120 degree.

Hour hand move 1/2 degree in one minute.

In 35 Minutes hour hand will move 1/2 * 35 = 17.5 degree

Hence, Angle between hands is 120 - 17.5 = 102.5 degree.

#### Question No 17

The reflex angle between the hands of a clock at 10:25 is

Solution!
Angle traced by hour hand in 125/12 hrs = (360/12 * 125/12) = 625/2 degree

Angle traced by minute hand in 25 min = (360/60 * 25) = 150 degree

So, Reflex angle = 360 - (625/2 - 150) = 197.5 degree.

#### Question No 18

A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream. If the speed of the boat in still water is 10 mph, the speed of the stream is

Solution!
Let the speed of the stream x mph.

Then,
Speed downstream = (10 + x) mph

Speed upstream = (10 - x) mph

So, [36/(10 - x)] - [36/(10 + x)] = 90/60
(72x)*60 = 90 (100 - x*x)
(x+ 50)(x - 2) = 0

Hence, x = 2 mph..

#### Question No 19

Ten years ago a father was seven times as old as his son, two years hence, twice his age will be equal to five times his son's. What is the present age of son?

Solution!
Let present age of son is x and present age of father is y.

Given that
y-10 = 7(x-10)
y-10 = 7x-70
y-7x = -70+10
7x-y = 60 ...(1)

and also given that
2(y+2) = 5(x+2)
2y+4 = 5x+10
2y-5x = 6 ...(2)By simultaneously soving equation(1) and equation(2)
x = 14

Hence present age of son is 14 years..

#### Question No 20

100 , 96.75 , 93.5 , 90.25 , 87 , ?

Solution!
Deduct 3.25 each time..

#### Question No 21

'A' is without sons and brothers, but the father of B is A's father's son. What is 'B' to 'A'?

Solution!
A's father's son means A himself because A has no brother.

So A is father of B.
As A has no son, B must be her daughter..

#### Question No 22

Choose the word which is different from the rest.

Solution!
All except Hammer are sharp-edged and have a cutting action..

#### 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

A little American and a big American are walking along a road. The little American is the big American's son. The big American is not the little American's father. Who is big American?

Solution!
Little American is son of big American but big American is not his father, then big American must be his mother..

#### Question No 25

A can do a piece of work in 4 hours; B and C together can do it in 3 hours,while A and C together can do it in 2 hours.How long will B alone take to do it?

Solution!
A's 1 hour's work = 1/4

(B + C)'s 1 hour's work = 1/3

(A + C)'s 1 hour's work = 1/2

(A + B + C)'s 1 hour's work = (1/4 + 1/3) = 7/12

B's 1 hour's work = (7/12 - 1/2) = 1/12

Hence, B alone will take 12 hours to do the work..

#### Question No 26

If the product of 4 consecutive integers is 120, which is greater?

Solution!
5*4*3*2 = 120.

#### Question No 27

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 28

A is the father of B but B is not A's son. What is relationship of B to A.

Solution!
A is father of B but B is not A's son, then B must be daughter of A..

#### Question No 29

A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is

Solution!
Man's rate in still water = (15 - 2.5) km/hr
= 12.5 km/hr

Man's rate against the current = (12.5 - 2.5) km/hr
= 10 km/hr.

#### Question No 30

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

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 31

25 tailors can make 35 dresses in 1 day. How many dresses can 6 tailors make in 5 days?

Solution!
Let x dresses can be made.
As dresses are directly proportional to tailors and days so
x/35 = (6/25)*(5/1)
x = 42

Hence 42 dresses can be made by 6 tailors in 5 days..

#### Question No 32

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 33

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

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

#### Question No 34

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 35

If the number 481z673 is completely divisible by 9, what is the the smallest whole number in place of z?

Solution!

4817673 is completely devisible by 9..

#### Question No 36

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 37

If M x N means M is the daughter of N; M + N means M is the father of N; M % N means M is the mother of N and M - N means M is the brother of N then P % Q + R - T x K indicates which relation of P to K?

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

Q + R = Q is the father of R

R - T = R is the brother of T

Hence, Q is the father of T

T x K = T is the daughter of K

Hence, Q is the husband of K.

Therefore, P is the mother-in-law of K..

#### Question No 38

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 39

How many times in a day, are the hands of a clock in straight line but opposite in direction?

Solution!
The hands of a clock point in opposite directions (in the same straight line) 11 times in every 12 hours. (Because between 5 and 7 they point in opposite directions at 6 o'clcok only).

So, in a day, the hands point in the opposite directions 22 times..

#### Question No 40

One who has little faith in human sincerity and goodness is called ...

Solution!
No answer description available for this question..

#### Question No 41

Architect is to Building as Sculptor is to?

Solution!
As 'Architect' makes 'Building'
similarly 'Sculptor' makes 'Statue'..

#### Question No 42

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 43

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

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 44

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 45

Play is to actor as concert is to..

Solution!
An actor performs in a play. A musician performs at a concert..

#### Question No 46

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 47

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 48

Marathon is to race as hibernation is to..

Solution!
A marathon is a long race and hibernation is a lengthy period of sleep..

#### Question No 49

A train 110 metres long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?

Solution!
Speed of train relative to man = (60 + 6) km/hr = 66 km/hr.
= 66 * (5/18) = (55/3)m/s

Hence, Time taken to pass the man
= 110 * (3/55) = 6 seconds.

#### Question No 50

What is average of 12 , 15 and 18?

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

#### Question No 51

If 7th of the month falls two days after Wednesday. What day of the week will precede the 18th of month?

Solution!
On 7th the day is Friday. On 17 (day before 18) there will be Monday.

#### Question No 52

Pointing to a photograph. Bajpai said, "He is the son of the only daughter of the father of my brother." How Bajpai is related to the man in the photograph?

Solution!
The man in the photo is the son of the sister of Bajpai. Hence, Bajpai is the maternal uncle of the man in the photograph..

#### Question No 53

A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. The length of the train is

Solution!
2 kmph = 2 * (5/18)m/s
= 5/9 m/s

4 kmph = 4 * (5/18)m/s
= 10/9 m/s

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

then, x/[y - (5/9)] = 9
and x/[y - (10/9)] = 10

So, 9y - 5 = x
and 10(9y - 10) = 9x

9y - x = 5
and 90y - 9x = 100

On solving, we get
x = 50

Hence, Length of the train is 50 m..

#### Question No 54

Guide is to direct as reduce is to..

Solution!
Guide and direct are synonyms, and reduce and decrease are synonyms..

#### Question No 55

C's mother was four times as old as C ten years ago. After 10 years she will be twice as old as C is now. How old C is now?

Solution!
Let C's present age is x and his mother's age is y.

Given that
y = 4(x-10)
y = 4x-40
4x-y = 40 ...(1)

and
y+10 = 2x
2x-y = 10 ...(2).

By simultaneously solving equation(1) and equation(2) we find
x = 15

Hence C is 15 years old..

#### Question No 56

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

Solution!
Pain is suffering or hurt, so choice d is the essential element. Without hurt, there is no pain. A cut (choice a) or a burn (choice b) may cause pain, but so do many other types of injury. A nuisance (choice c) is an annoyance that may or may not cause pain..

#### Question No 57

A disease always has

Solution!
No answer description available for this question..

#### Question No 58

64% of the children in school are girls.What percentage are boys?

Solution!
100 - 64 = 36%.

#### Question No 59

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 60

0 , 100 , 6 , 94 , 12 , 88 , 18 , 82 , ? , ?