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

### Test Report

#### Question No 1

In India a widow can marry her brother-in-law although a man cannot marry the sister of his dead wife

Solution!
As there is no such tradition hence this will happen sometimes..

#### Question No 2

Add 32 + 8 + 18 + 25.

Solution!
32 + 8 = 40! !40 + 18 = 58! !58 + 25 = 83.

#### Question No 3

Guide is to direct as reduce is to..

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

#### Question No 4

Find the correctly spelt word.

Solution!
No answer description available for this question..

#### Question No 5

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 6

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. The ratio of their present ages is

Solution!
Let the ages of father and son 10 years ago be 3x and x years respectively.! !Then,!(3x + 10) + 10 = 2[(x + 10) + 10]!3x + 20 = 2x + 40!x = 20!So, 3x + 10 = 70!and x + 10 = 30! !Hence, ratio is 70/30 = 7/3..

#### Question No 7

Catching the earlier train will give us the ...... to do some shopping.

Solution!
No answer description available for this question..

#### Question No 8

A train moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train?

Solution!
Let the length of the train be x metres and its speed by y m/sec.! !Then,!x/y = 8!x = 8y! !Now, (x+264)/20 = y!8y + 264 = 20y!y = 22! !Hence, Speed = 22 m/sec!= 22 * (18/5)!= 79.2 km/hr.

#### Question No 9

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 10

A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?

Solution!
Ratio of times taken by A and B = 100/130 = 10/13! !Suppose B takes x days to do the work.! !Then, 10/13 = 23/x!x = (23*13)/10!x = 299/10! !A's 1 day's work = 1/23! !B's 1 day's work = 10/299! !(A + B)'s 1 day's work = (1/23 + 10/299) = 23/299 = 1/13! !Therefore, A and B together can complete the work in 13 days..

#### Question No 11

Price of a fuel increased by 10% during budget. If its price before budget was Rs. 55 per liter what is its price after the budget?

Solution!
10% of 55 = (55*10)/100 = 5.5! !Price of fuel after butget = 55+5.5 = 60.5.

#### Question No 12

John's fail to pass ratio in mathematics test is 5/2. In how many tests did he pass if total tests conducted were 42?

Solution!
Pass ratio = (2/7)*42 = 12.

#### Question No 13

what is Antonym of CHECK ?

Solution!
No answer description available for this question..

#### Question No 14

Find the odd man out.

Solution!
No answer description available for this question..

#### Question No 15

cup is to lip as bird is to..

Solution!
Cup is used to drink something with the help of lips.! Similarly birds collects grass with the help of beak to make her nest..

#### Question No 16

Introducing a man, a woman said, "He is the only son of the mother of my mother." How is the woman related to the man?

Solution!
The man is the only son of the mother of the woman.! !Hence, the man is the maternal uncle of the woman.! !So, the woman is the niece of the man..

#### Question No 17

David can swim at the speed of 30 km/h in still water and speed of water is 4 km/h. What is his speed of swimming against the direction of water?

Solution!
David's speed in still water = u = 30 Km/h!Speed of water = v = 4 Km/h!David's swimming speed against water = u-v = 30-4 = 26 Km/h.

#### Question No 18

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 19

John's income increased from $12000 to$14400. What is percentage increase in his income?

Solution!
Increase in income = 14400 - 12000 = 2400! !Percentage increase = (2400/12000)*100 = 20%.

#### Question No 21

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 23

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 24

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 25

Which of the following fractions is closed to 0.5?

Solution!
15/30 = 1/2!1/2 = 0.5.

#### Question No 26

What is the angle between the two hands of a clock when the time shown by the clock is 5:30 p.m. ?

Solution!
q = 11/2 m ? 30h = 11/2 *30 - 30 *5 = 165-150 = 15 degree! ! .

#### Question No 27

March 1st is Wednesday. Which month of the same year has the same calendar?

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 28

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 29

If A + B means A is the brother of B; A x B means A is the son of B; and A % B means B is the daughter of A then which of the following means M is the maternal uncle of N?

Solution!
Because the sex of O is not known..

#### Question No 30

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

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

#### Question No 31

The average of 20 numbers is 0, How many of them may be greater than zero,at the most?

Solution!
Maximum Numbers that can be greater than 0 to maintain total average greater than 0 are 19..

#### Question No 32

The ratio of the ages of two friends A and B is 3/2. However if the age of A is decreased by 10 and that of B is increased by 10 then the original ratio is reversed. Age of A is

Solution!
Given that!A/B = 3/2!2A = 3B!2A-3B = 0 ...(1)! !and also given that!(A-10)/(B+10) = 2/3!3A-30 = 2B+20!3A-2B = 50 ...(2)! !By simultaneously solving equation(1) and equation(2)!A = 30! !Hence age of A is 30 years..

#### Question No 33

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 34

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 35

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 36

If selling price is doubled, the profit triples. Find the profit percent.

Solution!
Let! C.P. be Rs. x and S.P. be Rs. y.! !Then,! 3(y - x) = (2y - x)!y = 2x! !Profit = Rs. (y - x) = Rs. x! !Profit % = (x/x)*100 = 100%.

#### Question No 37

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

Solution!
To harvest something, one must have a crop, which is the essential element for this item. Autumn (choice a) is not the only time crops are harvested. There may not be enough of a crop to stockpile (choice b), and you can harvest crops without a tractor (choice c)..

#### Question No 38

100 , 96.75 , 93.5 , 90.25 , 87 , ?

Solution!
Deduct 3.25 each time..

#### Question No 39

Management always involves

Solution!
No answer description available for this question..

#### Question No 40

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 41

P is the mother of K; K is the sister of D; D is the father of J. How is P related to J?

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 42

APOCRYPHAL is to CERTAINTY as CHAOTIC is to..

Solution!
No answer description available for this question..

#### Question No 43

If we are going early in the morning towards the south the sun will be visible at our left..

Solution!
Early in the morning the sun is in the direction of east. If we are going towards the south, our face will be in the direction of South and our left hand will be in the direction of east.! !Hence if we go early in the morning towards the south the sun will always be visible at our left..

#### Question No 44

2664/12/6=?

Solution!
(2664/12) * (1/6) = 37.

#### Question No 45

On 8th Feb, 2005 it was Tuesday.What was the day of the week on 8th Feb, 2004?

Solution!
The year 2004 is a leap year. It has 2 odd days.! !So, The day on 8th Feb, 2004 is 2 days before the day on 8th Feb, 2005.! !Hence, this day is Sunday..

#### Question No 46

Danger always involves

Solution!
No answer description available for this question..

#### Question No 47

A train 100 meters long crosses a 150 meters long bridge in 25 seconds. What is the speed of the train?

Solution!
Length of the train = L1 = 100m!Length of the bridge = L2 = 150m!Time = t = 25s! !v = (L1+L2)/t!By putting values!v = (100+150)/25!v = 250/25 = 10m/s = 10*(18/5) = 36 Km/h! !Hence speed of the train is 36 Km/h..

#### Question No 48

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

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

#### Question No 49

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 50

The total age of A and B is 12 years more than the total age of B and C. C is how many year younger than A?

Solution!
Given that A+B = 12 + B + C! !A - C = 12 + B - B = 12! !C is younger than A by 12 years..

#### Question No 51

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?

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 52

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 53

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

Solution!
Least common multiple of 12 and 18 is 36.

#### Question No 54

A train travelling at 36 km/h took 10 seconds to pass a stationary man. What was the length of the train?

Solution!
Speed = v = 36 Km/h = 36*(5/18) = 10m/s!Time = t = 10s!Length of the train = L = ?! !L = v*t!By putting values!L = 10*10 = 100m! !Hence length of the train is 100 meter..

#### Question No 55

Choose the word which is different from the rest.

Solution!
All except Eagle are flightless birds..

#### Question No 56

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 57

Find the correctly spelt word.

Solution!
No answer description available for this question..

#### Question No 58

What is the angle between the hands of a clock at 1 o'clock?

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 59

By how many degrees does the minute hand move in the same time, in which the hour hand move by 280?

Solution!
28 * 2 * 6 = 336 degree.

#### Question No 60

What was the day of the week on 17th June, 1998?