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

### Test Report

#### Question No 1

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.

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 2

Ali's swimming speed in still water is 18 km/h and speed of water is 6 km/h. How long will it take him to go downstream 72km?

Solution!
Ali's swimming speed in still water = u = 18 Km/h!Speed of water = v = 6 Km/h!Total speed down the stream = 18+6 = 24 Km/h! !Distance to cover = 72 Km!time = ?! !time = distance/speed = time = 72/24 = 3 hours..

#### Question No 3

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

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

#### Question No 4

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?

Solution!
P - M = P is the brother of M! !M + N = M is the mother of N! !N x Q = N is the sister of Q! !Therefore, P is the maternal uncle of Q..

#### Question No 5

Which one of the following is always with 'Bargain'?

Solution!
No answer description available for this question..

#### Question No 6

The speed of a boat in still water in 15 km/hr and the rate of current is 3 km/hr. The distance travelled downstream in 12 minutes is

Solution!
Speed downstream = (15 + 3) kmph = 18 kmph! !Distance travelled = 18 * (12/60)km = 3.6 km.

#### Question No 7

The day that will come two days after tomorrow will be Thursday. What was the day that Dawned two days before yesterday.

Solution!
As the day, two days after tomorrow is Thursday so tomorrow is Tuesday and today is Monday and yesterday was Sunday. Hence the day two days before yesterday was Friday..

#### Question No 8

Disclosure always involves

Solution!
No answer description available for this question..

#### Question No 9

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 10

If a man takes two hours to row 3 km upstream or 15 km downstream then the speed of current is?

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 11

Joseph's speed of rowing in still water is 12 km/h and he finds that it takes him twice as long to row up as to row down the river. Find the speed of water in the river.

Solution!
Let speed of water is x.!Speed in still water = u = 12 Km/h! !As downstream speed is double of upstream speed! !(12+x) = 2(12-x)!12+x = 24-2x!3x = 12!x = 4! !Hence speed of water is 4 Km/h..

#### Question No 12

Find the odd man out.

Solution!
All except moon are planets..

#### Question No 13

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?

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 14

Ali can type at a speed of 25 words per minute. How many words he can type in one hour?

Solution!
Typed words in 1 minute = 25!Typed words in 60 minutes = 60 * 25 = 1500.

#### Question No 15

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 16

20 years ago my age was 1/3 of what it is now. What is my present age?

Solution!
Let my present age is x.! !Given that!x-20 = (1/3)x!3x-60 = x!2x = 60!x = 30! !Hence my present age is 30 years..

#### Question No 17

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 18

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?

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 19

100 , 96.75 , 93.5 , 90.25 , 87 , ?

Solution!
Deduct 3.25 each time..

#### Question No 20

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

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 21

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

Solution!
No answer description available for this question..

#### Question No 22

What is synonym of CORPULENT ?

Solution!
No answer description available for this question..

#### Question No 23

Melt is to Liquid as Freeze is to?

Solution!
As on melting, liquid is formed similarly on freezing solid is formed..

#### Question No 24

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 25

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 26

Find the odd man out.

Solution!
All remaining have 5 vowels..

#### Question No 27

If n is not equal to 0, Which of the following must be greater than n? (1) 2n (2) n^2 (3) 2-n

Solution!
Square of every non zero integer is grater than the orignal number.! !*Note that multiple of 2 of negative numbers are lesser than the orignal number..

#### Question No 28

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?

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 29

What is synonym of CANNY ?

Solution!
No answer description available for this question..

#### Question No 30

what is Synonym of ESPOUSAL ?

Solution!
No answer description available for this question..

#### Question No 31

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

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 32

One year ago, the ratio of Sooraj's and Vimal's age was 6/7 respectively. Four years hence, this ratio would become 7/8. How old is Vimal?

Solution!
Let take the age of Sooraj and Vimal, 1 year ago as 6x and 7x respectively.! !Given that, four years hence, this ratio would become 7/8.! !(6x + 5)/(7x + 5) = 7/8!48x + 40 = 49x + 35!x = 5! !Vimal's present age = 7x + 1 = 7*5 + 1 = 36.

#### Question No 33

7/21 in lowest term is?

Solution!
7/21 = 1/3.

#### Question No 34

A can do a certain work in the same time in which B and C together can do it.If A and B together could do it in 10 days and C alone in 50 days,then B alone could do it in

Solution!
(A + B)'s 1 day's work = 1/10! !C's 1 day's work = 1/50! !(A + B + C)'s 1 day's work = (1/10 + 1/50) = 6/50 = 3/25...(1)! !A's 1 day's work = (B + C)'s 1 day's work .... (2)! !From (1) and (2), we get!2 * (A's 1 day's work) = 3/25! !A's 1 day's work = 3/50! !So, B's 1 day's work (1/10 - 3/50) = 2/50 = 1/25! !Hence, B alone could do the work in 25 days..

#### Question No 35

If the sum of three consecutive whole numbers is 15, what is the largest of the three numbers?

Solution!
6+5+4 = 15.

#### Question No 36

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 37

A song always has

Solution!
No answer description available for this question..

#### Question No 38

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?

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 39

The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is

Solution!
Let!C.P. of each article be Re. 1 C.P. of x articles = Rs. x.! !S.P. of x articles = Rs. 20.! !Profit = Rs. (20 - x)! !So, (20-x)/x * 100 = 25!2000 - 100x = 25x!125x = 2000! !Hence, x = 16.

#### Question No 40

A3P means A is the mother of P , A4P means A is the brother of P , A9P means A is the husband of P , A5P means A is the daughter of P ; Which of the following means that K is the mother-in-law of M?

Solution!
M9N = M is the husband of N! !N5K = N is the daughter of K! !Hence, M is the son-in-law of K! !K3J = K is the mother of J! !Hence, K is a lady! !Hence, K is the mother-in-law of M..

#### Question No 41

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 42

A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit?

Solution!
C.P. = (100/122.5) * 392!= (1000/1225) * 392!= Rs. 320! !Hence, Profit = Rs. (392 - 320) = Rs. 72..

#### Question No 43

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 44

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 45

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 46

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 47

Introducing a boy, a girl said, "He is the son of the daughter of the father of my uncle." How is the boy related to the girl?

Solution!
The father of the boy's uncle = the grandfather of the boy! !daughter of the grandfather = sister of father..

#### Question No 48

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 49

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

Solution!
No answer description available for this question..

#### Question No 50

OUTWIT is to RUSE as FRUSTRATE is to..

Solution!
No answer description available for this question..

#### Question No 51

What must be added to each numerator and denominator of 13/29 so that it becomes 1/2

Solution!
(13+3)/(29+3) = 1/2.

#### Question No 52

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

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

#### Question No 53

A man rowing a boat covers an average distance of 7.5 km/h. What is the distance covered after 40 minutes?

Solution!
Distance covered in 60 minutes = 7.5 Km!Distance covered in 1 minute = 7.5/60 = 1/8 Km! !Distance covered in 40 minutes = (1/8)*40 = 5 Km.

#### Question No 55

Kiran is younger than Bineesh by 7 years and their ages are in the respective ratio of 7 / 9, how old is Kiran?

Solution!
Let the ages of Kiran and Bineesh are 7x and 9x respectively! !7x = 9x-7!x = 7/2 = 3.5! !Kiran's age = 7x!= 7 * 3.5 = 24.5.

#### Question No 56

How many times do the hands of a clock coincide in a day?

Solution!
The hands of a clock coincide 11 times in every 12 hours (Since between 11 and 1, they coincide only once, i.e., at 12 o'clock).! !The hands overlap about every 65 minutes, not every 60 minutes. So, the hands coincide 22 times in a day..

#### Question No 57

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 58

By selling an article for \$200 shopkeeper looses 20%. What is cost price of the article?

Solution!
Let cost price of the article is x.! !20% of x = (x*20)/100 = x/5! !Now!(x/5) + 200 = x!x+1000 = 5x!4x = 1000!x = 250! !Hence cost price of the article is 250..

#### Question No 59

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

Solution!
Thrift numbers between 0 and 15 are following! !2,3,4,6,8,9,10,12,14.

#### Question No 60

SYNTHESIS is to PARTS as CONFLUENCE is to..