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

### Test Report

#### Question No 1

A train is running at a speed of 10 km/h. What will be the distance covered by it in 3 hours?

Solution!
As we know that
S=vt (here S is distance, v is speed and t is time). So
distance = 10*3 = 30Km.

#### Question No 2

A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?

Solution!
Formula for converting from km/hr to m/s is
X km/hr = x * (5/18)m/s

Therefore,
Speed = 45 * (5/18) = 25/2 m/s

Total distance to be covered = (360 + 140) m = 500 m

Formula for finding Time = (Distance/Speed)

Hence, Required time = (500*2)/25
= 40 seconds.

#### Question No 3

Choose the word which is different from the rest.

Solution!
All except Groundnut are spices..

#### Question No 4

A train 108 m long moving at a speed of 50 km/hr crosses a train 112 m long coming from opposite direction in 6 seconds. The speed of the second train is

Solution!
Let the speed of the second train be x km/hr.

Relative speed = (x + 50) km/hr
= (x+50)*(5/18) m/s
= (250+5x)18 m/s

Distance covered = (108 + 112) = 220 m

So, 220/[(250 + 5x) /18] = 6
250 + 5x = 660

Hence, x = 82 km/hr.

#### Question No 5

If 6th March, 2005 is Monday, what was the day of the week on 6th March, 2004?

Solution!
The year 2004 is a leap year. So, it has 2 odd days.

But, Feb 2004 not included because we are calculating from March 2004 to March 2005. So it has 1 odd day only.

So, the day on 6th March, 2005 will be 1 day beyond the day on 6th March, 2004.

Given that, 6th March, 2005 is Monday.

Hence 6th March, 2004 is Sunday..

#### Question No 6

The average age of A and B is 20. If C were to replace A, the average would be 19, and if B was replaced by C, the average would be 21. The age of C is

Solution!
Given that
(A+B)/2 = 20
A+B = 40 ...(1)

and
(C+B)/2 = 19
C+B = 38 ...(2)

and
(A+C)/2 = 21
A+C = 42 ...(3)

Put value of A from equation(1) in equation(3)
(40-B)+C = 42
C-B = 2 ...(4)

By simultaneously solving equation(2) and equation(4)
C = 20

Hence C is 20 years old..

#### Question No 7

Pointing to a photograph of a boy Suresh said, "He is the son of the only son of my mother." How is Suresh related to that boy?

Solution!
The boy in the photograph is the only son of the son of Suresh's mother i.e., the son of Suresh.

Hence, Suresh is the father of boy..

#### Question No 8

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 9

Choose the word which is different from the rest.

Solution!
All except Fox are domestic animals, while fox is a wild animal..

#### Question No 10

Pointing towards a man, a woman said, "His mother is the only daughter of my mother." How is the woman related to the man?

Solution!
Only daughter of my mother = myself.

Hence, the woman is the mother of the man..

#### Question No 11

Embarrassed is to humiliated as frightened is to..

Solution!
If someone has been humiliated, they have been greatly embarrassed.If someone is terrified, they are extremely frightened..

#### Question No 12

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 13

Alfred buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, his gain percent is

Solution!
Cost Price (C.P.) = (4700 + 800) = Rs. 5500

Selling Price (S.P.) = Rs. 5800

Gain = (S.P.) - (C.P.) = (5800 - 5500) = Rs. 300

Gain % = (300/5500) * 100 = 60/5 %.

#### Question No 14

What is 10 less 5/9 of 117?

Solution!
(5/9) * 117 = 65

65 - 10 = 55.

#### Question No 15

If A is Brother of B but B is not Brother of A then who is B?

Solution!
B is a girl and A is her brother..

#### Question No 16

A train is running at the speed of 25 km/h. How far will it travel in 5 hrs?

Solution!
Speed = v = 25 Km/h
Time = t = 5h
Distance = S = v*t = 25*5 = 125Km.

#### Question No 17

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 18

A cigarette case is full of cigars and cigarettes, probability of a cigarette is 8/15. What is the ratio of cigars to cigarettes.

Solution!
In 15 cigars and cigarettes there are 8 cigarettes So ratio between cigars and cigarettes is 8/7. Which means there are 8 cigarettes and 7 cigars..

#### Question No 19

100 , 96.75 , 93.5 , 90.25 , 87 , ?

Solution!
Deduct 3.25 each time..

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 21 What is the angle between the hands of a clock at 1 o'clock? #### Select the correct answer 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 22 A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg.His profit percent is #### Select the correct answer Solution! C.P. of 56 kg rice = (26 x 20 + 30 x 36) = (520 + 1080) = Rs. 1600 S.P. of 56 kg rice = Rs. (56 x 30) = Rs. 1680 Hence, Gain = (80/1600)*100 = 5%. #### Question No 23 Ornithologist is to Bird as Archealogist is to? #### Select the correct answer Solution! As Ornithologist is a specialist of Birds similarly Archealogist is a specialist of Archealogy.. #### Question No 24 Choose the word that is a necessary part of the word "pain" #### Select the correct answer 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 25 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 26 1 , 1 , 2 , ? , 24 , 120 , 720 #### Select the correct answer Solution! Multiply by 1, 2, 3 and so on.... #### Question No 27 Find the odd man out. #### Select the correct answer Solution! Rock is a non-living thing.. #### Question No 28 A drawing on transparent paper is called ... #### Select the correct answer Solution! No answer description available for this question.. #### Question No 29 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. What is the ratio of their present ages? #### Select the correct answer Solution! Let the age of the son before 10 years = x and age of the father before 10 years = 3x Now we can write as (3x + 20) = 2(x + 20) x = 20 Age of Father the son at present = x + 10 = 20 + 10 = 30 Age of the father at present = 3x + 10 = 3 * 20 + 10 = 70 Required ratio = 70/30 = 7/3. #### Question No 30 The sum of the ages of a son and a father is 64. After 4 years the age of father will be three times that of his son's. The age of father is #### Select the correct answer Solution! Let present age of son is x and present age of father is y. Given that x+y = 64 ...(1) and y+4 = 3(x+4) y+4 = 3x + 12 y-3x = 8 ...(2) Put value of x from equation(1) in equation(2) y-3(64-y) = 8 y-192+3y = 8 4y = 200 y = 50 Hence present age of the father is 50 years.. #### Question No 31 DIFFIDENT is to CONFIDENCE as UNSTABLE is to.. #### Select the correct answer Solution! No answer description available for this question.. #### Question No 32 Marathon is to race as hibernation is to.. #### Select the correct answer Solution! A marathon is a long race and hibernation is a lengthy period of sleep.. #### Question No 33 Find the odd man out. #### Select the correct answer Solution! Other three are different type of windows.. #### Question No 34 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? #### Select the correct answer Solution! Little American is son of big American but big American is not his father, then big American must be his mother.. #### Question No 35 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.. #### Question No 36 Which number is the odd one out, 8, 27, 64, 100, 125, 216, 343 #### Select the correct answer Solution! All others are perfect cube of any number but 100 is not the perfect cube of any number.. #### Question No 37 PORTION is to DOSE as FOOD is to.. #### Select the correct answer Solution! No answer description available for this question.. #### Question No 38 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? #### Select the correct answer 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 39 Pointing to Gopi, Nalni says, "I am the daughter of the only son of his grandfather." How Nalni is related to Gopi? #### Select the correct answer Solution! Nalni is the daughter of the only son of Gopi's grandfather. Hence, it's clear that Nalni is the sister of Gopi.. #### Question No 40 Ten years ago, P was half of Q in age. If the ratio of their present ages is 3/4, what will be the total of their present ages? #### Select the correct answer Solution! Let the present age of P and Q be 3x and 4x respectively. Ten years ago, P was half of Q in age. (3x - 10) = 1/2 * (4x - 10) 6x - 20 = 4x - 10 2x = 10 x = 5 total of their present ages = 3x + 4x = 7x = 7 * 5 = 35. #### Question No 41 The present age of A is 45 yeras. 5 years ago the age of A was 5 times the age of his son B. How old is B now? #### Select the correct answer Solution! Given that A = 45 and A-5 = 5(B-5) 40 = 5B-25 65 = 5B B = 13 Hence B is 13 years old now.. #### Question No 42 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? #### Select the correct answer 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 43 What is the angle between the hands of a clock at 9 o'clock? #### Select the correct answer Solution! At 9 o'clock the minute hand points to 12 and hour hand points to 9. Angle between 9 and 12 at the clock is 90 degree.. #### Question No 44 What is 3206 divided by 7? #### Select the correct answer Solution! 3206 / 7 = 458 No need to perform complete devision first digit comes 4 after devision and there is only one option in which first digit is 4.. #### Question No 45 Find the correctly spelt word. #### Select the correct answer Solution! No answer description available for this question.. #### Question No 46 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 47 0 , 1 , 4 , 9 , 16 , 25 , 36 , 49 , ? #### Select the correct answer Solution! Add 1, 3, 5, 7, etc.. #### Question No 48 What is 9 multiplied by 8? #### Select the correct answer Solution! 9 * 8 = 72. #### Question No 49 A's son B is married with C whose sister D is married to E the brother of B. How D is related to A? #### Select the correct answer Solution! Since E is the brother of B Therefore, A is the father of E but D is the wife of E. Hence, D is the daughter-in-law of A.. #### Question No 50 John's income increased from$12000 to $14400. What is percentage increase in his income? #### Select the correct answer Solution! Increase in income = 14400 - 12000 = 2400 Percentage increase = (2400/12000)*100 = 20%. #### Question No 51 Find the odd man out. #### Select the correct answer Solution! No answer description available for this question.. #### Question No 52 If a man takes two hours to row 3 km upstream or 15 km downstream then the speed of current is? #### Select the correct answer Solution! Upstream distance covered in 2 hours = 3Km Distance covered in 1 hour = 3/2 = `1.5 Km So, Upstream speed = 1.5 Km/h Downstream distance covered in 2 hours = 15Km Distance covered in 1 hour = 15/2 = 7.5Km Downstream speed = 7.5 Km/h Now Speed of water = (1/2)*(7.5-1.5) = 3 Km/h. #### Question No 53 Given that on 27th February 2003 is Thursday.What was the day on 27th February 1603? #### Select the correct answer Solution! After every 400 years, the same day occurs. Thus, if 27th February 2003 is Thursday, before 400 years i.e., on 27th February 1603 has to be Thursday.. #### Question No 54 What is smallest integer greater than 1 that leaves remainder 1 when it is divided by 5 or 8? #### Select the correct answer Solution! 40 is the least common multiple of 5 and 8 so 41 will be the smalles integer that leaves 1 when it is divided by 5 or 8.. #### Question No 55 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? #### Select the correct answer 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 56 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 #### Select the correct answer 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 57 A car was bought for$380000 four years ago and during these four year it price decreases by 12%. What is its value now?

Solution!
12% of 380000
(380000/100)*12 = 45600

Price of the car = 380000 - 45600 = 334400.

#### Question No 58

Find the odd man out.

Solution!
Sleigh is a vehicle used for transportation at snow and pulled by horses or dogs..

#### Question No 59

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 60

How many degrees will the minute hand move, in the same time in which the second hand move 4800