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

### Test Report

#### Question No 1

4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?

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

Then, 4x + 6y = 1/8 nd 3x + 7y = 1/10

Solving the two equations, we get
x = 11/400
y = 1/400

So, One woman's 1 day's work = 1/400

10 women's 1 day's work = (1/400 * 10) = 1/40

Hence, 10 women will complete the work in 40 days..

#### Question No 2

Choose the word which is different from the rest.

Solution!
All except Feathers are organs for movement in different organisms..

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 4 Choose the word which is different from the rest. #### Select the correct answer Solution! All except Fox are domestic animals, while fox is a wild animal.. #### Question No 5 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 6 The angle between the minute hand and the hour hand of a clock when the time is 8:30, is ? #### Select the correct answer Solution! Angle traced by hour hand in 17/2 hrs = (360/12 * 17/2) = 255 degree Angle traced by minute hand in 30 min = (360/60 * 30) = 180 degree So, Required angle = (255 - 180) = 75 degree. #### Question No 7 A hill always has #### Select the correct answer Solution! No answer description available for this question.. #### Question No 8 Average of 3 numbers is 15. What is the sum of 3 numbers? #### Select the correct answer Solution! Let sum is x. x/3 = 15 x = 15*3 = 45. #### Question No 9 Find the odd man out. #### Select the correct answer Solution! No answer description available for this question.. #### Question No 10 Sachin's age after 15 years will be 5 times his age 5 years back. Find out the present age of Sachin? #### Select the correct answer Solution! Let the present age of Sachin = x Then (x+15) = 5(x-5) 4x = 40 x = 10. #### Question No 11 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 12 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 13 0 , 1 , 4 , 9 , 16 , 25 , 36 , 49 , ? #### Select the correct answer Solution! Add 1, 3, 5, 7, etc.. #### Question No 14 2012 January 1st is Sunday,then which day is the Indian Independence day of the same year. #### Select the correct answer Solution! 30+ 29+ 31 + 30 + 31 + 30 + 31+15 = 227/7 = reminder = 3 So, Independence day is Wednesday.. #### Question No 15 A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform? #### Select the correct answer Solution! Speed = 54 * (5/18)m/s = 15 m/s Length of the train = (15 x 20)m = 300 m Let the length of the platform be x metres Then, (x+300)/36 = 15 x + 300 = 540 Hence, x = 240 m. #### Question No 16 A 150m long train is running at the speed of 36km/h. In what time will it pass the 80m long bridge? #### Select the correct answer Solution! Length of train = L1 = 150m Speed = v = 36 Km/h = 36*(5/18) = 10 m/s Length of bridge = L2 = 80m Time = t = (L1 + L2)/v t = (150+80)/10 = 23 Hence the train will pass the 80 meter long bridge in 23 seconds.. #### Question No 17 It was Sunday on Jan 1, 2006.What was the day of the week Jan 1, 2010? #### Select the correct answer 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 18 DAPPLED is to SPOTS as RIDDLED is to.. #### Select the correct answer Solution! No answer description available for this question.. #### Question No 19 If 1/2 x year ago A was 12 and 1/2 x years from now he will be 2x years old, how old will he be 3x years from now? #### Select the correct answer Solution! Given that A-(1/2)x = 12 2A-x = 24 ...(1) and A+(1/2)x = 2x A+(1/2)x-2x = 0 A+(x-4x)/2 = 0 A-(3/2)x = 0 2A-3x = 0 ...(2) By simultaneously solving equation(1) and (2) we have x = 12 and A = 18 Now 3x = 3*12 = 36 After 3x years A will be 18+36 = 54 years old. #### Question No 20 Fate smiles ...... those who untiringly grapple with stark realities of life. #### Select the correct answer Solution! No answer description available for this question.. #### Question No 21 A train is running at a speed of 10 km/h. What will be the distance covered by it in 3 hours? #### Select the correct answer 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 22 John can swim at the speed of 20 km/h in still water and speed of water is 3 km/h. What is his swimming speed with water? #### Select the correct answer Solution! John's speed in still water = u = 20 Km/h Speed of water = v = 3 Km/h John's speed with water = u+v = 20+3 = 23 Km/h. #### Question No 23 A 300 metre long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds.What is the length of the platform? #### Select the correct answer Solution! Speed = (300/18)m/s = 50/3m/s Let the length of the platform be x metres Then, (x+300)/39 = 50/3 3(x + 300) = 1950 Hence, x = 350 m. #### Question No 24 In a box ratio of DVD to VCD is 2/3. Which of the following cannot be the total number of CD's in the box? #### Select the correct answer Solution! As 2+3 = 5, So total number of CD's must be multiple of 5. In the options all are multiple of 5 except 11 So 11 is the correct answer.. #### Question No 25 March 1st is Wednesday. Which month of the same year has the same calendar? #### Select the correct answer Solution! Odd days from March to October 3 + 2 +3 +2 +3 +3 +2 +3 = 21/7 = 0. If odd day is 0 then next month has the same calendar. Hence, November will have same calender as March.. #### Question No 26 P is the mother of K; K is the sister of D; D is the father of J. How is P related to J? #### Select the correct answer Solution! P is the mother of K K is the sister of D D is the father of J. Therefore, J is the nephew or niece of K and P is the grandmother of J.. #### Question No 27 Choose the word which is different from the rest. #### Select the correct answer Solution! All except Ayurveda are names of holy scriptures, the four Vedas. Ayurveda is a branch of medicine.. #### Question No 28 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 #### Select the correct answer 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 29 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 30 Pen is to poet as needle is to.. #### Select the correct answer Solution! A pen is a tool used by a poet. A needle is a tool used by a tailor.. #### Question No 31 Tina is twice as old as David. 15 years ago, Tina's age was 5 times the age of David. What is the present age of Tina? #### Select the correct answer Solution! Let David's age is x and Tina's age is y. Given that y = 2x y-2x = 0 ...(1) and also given that y-15 = 5(x-15) y-15 = 5x-75 y-5x = -60 ...(2) By simultaneously solving equation(1) and equation(2) y = 40 Hence Tina's present age is 40 years.. #### Question No 32 A shopkeeper bought an article for$120 and sold at profit of 10%. What is selling price of the article?

Solution!
10% of 120
= (120*10)/100 = 12

Selling price = 120+12 = 132.

#### Question No 33

A and B are married couple. X and Y are brothers. X is the brother of A. How is Y related to B.

Solution!
X and Y both are brothers of A
which means both are Brother-in-law of B..

#### Question No 34

Speed of water in certain river is 6 km/h and it takes a boat four times as long to row up as to row down the river. What is the speed of boat in still water?

Solution!
Let speed of boat in still water is x.
Speed of water = v = 6 Km/h
As downstream speed is four times the upstream speed so

(x+6) = 4(x-6)
x+6 = 4x-24
30 = 3x
x = 10

Hence speed of boat in still water is 10 Km/h.

#### Question No 35

A takes twice as much time as B or thrice as much time as C to finish a piece of work.Working together,they can finish the work in 2 days.B can do the work alone in

Solution!
Suppose A, B and C take x, x/2, x/3 days respectively to finish the work.

Then,
(1/x + 2/x + 3/x) = 1/2
6/x = 1/2
x=12

So, B takes (12/2) = 6 days to finish the work..

#### Question No 36

A drawing on transparent paper is called ...

Solution!
No answer description available for this question..

#### Question No 37

MUSICIAN is to VIRTUOSO as BARD is to..

Solution!
No answer description available for this question..

#### Question No 38

100 , 96.75 , 93.5 , 90.25 , 87 , ?

Solution!
Deduct 3.25 each time..

#### Question No 39

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 40

Choose the word which is different from the rest.

Solution!
All others are parts of a calendar..

#### Question No 41

Average of 4 numbers is 24. What is the sum of the four numbers?

Solution!
x/4 = 24
x = 24*4
x = 96.

#### Question No 42

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 43

What is synonym of AUGUST ?

Solution!
No answer description available for this question..

#### Question No 44

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 45

P, the daughter of K is married to G, X and G are brothers, on the basis of this information tell how P is related to G.

Solution!
"P, the daughter of K is married to G" means P is wife of G..

#### Question No 46

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 47

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!
Age of C < Age of A < Age of B

Given that sum of the ages of B and C is 50 years.

Let's take B's age = x and C's age = 50-x

Now we need to find out B's age - A's age.
But we cannot find out this with the given data..

#### Question No 48

Find the odd man out.

Solution!
No answer description available for this question..

#### Question No 49

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 50

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

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

#### Question No 51

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 52

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 53

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 54

Peacock is to India as Bear is to?

Solution!
As Peacock is the national bird of India, similarly Bear is the national animal of Russia..

#### Question No 55

The Average age of a class of 22 students is 21 years.The average increased by 1 when the teacher's age also included.What is the age of the teacher?

Solution!
No answer description available for this question..

#### Question No 56

Add 32 + 8 + 18 + 25.

Solution!
32 + 8 = 40

40 + 18 = 58

58 + 25 = 83.

#### Question No 57

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 58

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 59

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

Solution!
572 is completely divisible by 6..

#### Question No 60

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?