IQ Test, Mental Aptitude, Logical Reasoning & Mathematical Tests

Test Report

Question No 1

A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. What is the present age of the mother?

Solution!
Let the present age of the person = x

Then present age of the mother = 5x/2

Given that , after 8 years, the person will be one-half of the age of his mother.

(x + 8) = (1/2)(5x/2 + 8)
2x + 16 = 5x/2 + 8
x/2 = 8
x = 16

Present age of the mother = 5x/2
= 5 * 16/2 = 40.

Question No 2

Pointing to a photograph Lata says, "He is the son of the only son of my grandfather." How is the man in the photograph related to Lata?

Solution!
The man in the photograph is the son of the only son of Lata's grandfather i.e., the man is the son of Lata's father. Hence, the man is the brother of Lata..

Question No 3

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 4

What is the sum of first 5 positive even integers?

Solution!
2+4+6+8+10 = 30.

Question No 5

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 6

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 8

TWAIN is to CLEMENS as ELIOT is to..

Solution!
No answer description available for this question..

Question No 9

What is Antonym of RIBALD ?

Solution!
No answer description available for this question..

Question No 10

16 men dig a ditch in 10 days. How many men would be required to complete the job in half the time?

Solution!
Double number of men are required to complete the job in half time..

Question No 11

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 12

What is the angle between the hands of a clock at 9 o'clock?

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 13

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

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

Question No 14

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

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

Question No 15

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?

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 16

On 8th Dec, 2007 Saturday falls.What day of the week was it on 8th Dec, 2006?

Solution!
The year 2006 is an ordinary year. So, it has 1 odd day.

So, the day on 8th Dec, 2007 will be 1 day beyond the day on 8th Dec, 2006.

But, 8th Dec, 2007 is Saturday.

Hence, 8th Dec, 2006 is Friday..

Question No 17

Choose the word which is different from the rest.

Solution!
All except Quay are parts Of a ship..

Question No 18

A and B are children of D. Who is the father of A? To answer this question which of the statements (1) and (2) is necessary? (1) C is the brother of A and the son of E. (2) F is the mother B.

Solution!
A and B are children of D.

From (1), C is the brother B and son of E.

Since, the sex of D and E are not known. Hence (1) is not sufficient to answer the question.

From (2). F is the mother of B. Hence, F is also the mother of A. Hence D is the father of A.

Thus, (2) is sufficient to answer the question..

Question No 19

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

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 20

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 21

100 , 96.75 , 93.5 , 90.25 , 87 , ?

Solution!
Deduct 3.25 each time..

Question No 22

Which one of the following is always in 'Sentiment'?

Solution!
No answer description available for this question..

A shopkeeper bought an article for $120 and sold at profit of 10%. What is selling price of the article? Select the correct answer Solution! 10% of 120 = (120*10)/100 = 12 Selling price = 120+12 = 132. Question No 24 Find the odd man out. Select the correct answer Solution! Remaining are names of British Kings.. Question No 25 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? Select the correct answer 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 26 Find the odd man out. Select the correct answer Solution! No answer description available for this question.. Question No 27 Optimist is to cheerful as pessimist is to.. Select the correct answer Solution! An optimist is a person whose outlook is cheerful. A pessimist is a person whose outlook is gloomy.. Question No 28 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 Select the correct answer 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 29 By how many degrees does the minute hand move in the same time, in which the hour hand move by 18 degree? Select the correct answer Solution! 18*2 *6 = 216 degree . Question No 30 Choose the word which is different from the rest. Select the correct answer Solution! Swan is the only water bird in the group.. Question No 31 Average of 4 numbers is 24. What is the sum of the four numbers? Select the correct answer Solution! x/4 = 24 x = 24*4 x = 96. Question No 32 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 Select the correct answer 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 33 paw is to cat as hoof is to.. Select the correct answer Solution! As cat has Paw similarly Horse has Hoof.. Question No 34 What is 45% of 300? Select the correct answer Solution! 45 * (300/100) = 135 Quick way to find answer from options is 50% of 300 is 150 so 45% of 300 should be less than 150 So, it may be 149 or 135 149 is very close to 150 which is not possible Hence, 135 is correct answer.. Question No 35 Yard is to inch as quart is to.. Select the correct answer Solution! A yard is a larger measure than an inch (a yard contains 36 inches). A quart is a larger measure than an ounce (a quart contains 32 ounces).. Question No 36 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 37 A 100 meters long train can cross a 150 meters long bridge in 20 seconds. What is the speed of the train? Select the correct answer Solution! Length of the train = L1 = 100m Length of the bridge = L2 = 150m Time = t = 20s Speed = v = ? v = (L1+L2)/t By putting values v = (100+150)/20 v = 250/20 = 12.5m/s Hence speed of train is 12.5m/s.. Question No 38 A train 800 metres long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel (in meters) is Select the correct answer Solution! Speed = 78 * (5/18) = 65/3 m/s Time = 1 minute = 60 seconds Let the length of the tunnel be x metres Then, (800+x)/60 = 65/3 3(800 + x) = 3900 Hence, x = 500. Question No 39 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, the son's age five years back was? Select the correct answer Solution! Let the son's present age be x years. Then, (38 - x) = x 2x = 38 x = 19 Hence, Son's age 5 years back (19 - 5) = 14 years.. Question No 40 Which year has the same calendar as 1700 ? Select the correct answer Solution! Year 1700 has 1 odd day 1701 has 1 odd day 1702 has 1 odd day 1703 has 1 odd day 1704 has 2 odd day 1705 has 1 odd day Hence, 1706 will has same calender.. Question No 41 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? Select the correct answer 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 42 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 43 A cycle costs$170.Jane saves $50 each week.How many weeks will it be before she can buy it? Select the correct answer Solution! 170 / 50 = 3.4 But 3.4 is not in options so nearest Option is 4. Question No 44 The ages of two persons differ by 16 years. 6 years ago, the elder one was 3 times as old as the younger one. What are their present ages of the elder person? Select the correct answer Solution! Let's take the present age of the elder person = x and the present age of the younger person = x - 16 (x - 6) = 3 (x-16-6) x - 6 = 3x - 66 2x = 60 x = 60/2 = 30. Question No 45 'A' is without sons and brothers, but the father of B is A's father's son. What is 'B' to 'A'? Select the correct answer 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 46 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 47 A man was accompanying a girl, on being asked who the girl was the man said, "Her father was the only son of my father". What was the girl to man? Select the correct answer Solution! If I am a boy and I am only son of my father it means I am talking about myself. Same is the case here man is father of the girl.. Question No 48 Find the odd man out. Select the correct answer Solution! No answer description available for this question.. Question No 49 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 50 Cloth is to Mill as Newspaper is to? Select the correct answer Solution! As Cloth is made in a Mill, similarly Newspaper is printed in press.. Question No 51 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 52

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 53

The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is

Solution!
Speed = 45 * (5/18)
= 25/2 m/s

Time = 30 sec

Let the length of bridge be x metres

Then,
(130 + x)/30 = 25/2
2(130 + x) = 750

Hence, x = 245 m.

Question No 54

Choose the word which is different from the rest.

Solution!
All except Oil are products obtained from milk..

Question No 55

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 56

A train travelling at he speed of 72km/h can cross a platform in 17 seconds. If length of the train is 180 meters, what is the length of the platform?

Solution!
Speed of train = v = 72Km/h = 72*(5/18) = 20m/s

Time = t = 17s
Length of the train = L1 = 180m
Length of the platform = L2 = ?

t = (L1+L2)/v
By putting values
17 = (180+L2)/20
340-180 = L2
L2 = 160m

Hence length of the platform is 160m..

Question No 57

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 58

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 59

Which of the following is the least number which is divisible by both 12 and 18?