Puzzles and Aptitude Questions
§ Three friends divided some bullets equally. After all of them shot 4 bullets the total number of bullets remaining is equal to the bullets each had after division. Find the original number divided
Answer:
Assume that initial there were 3*X bullets. So they got X bullets each after division. All of them shot 4 bullets. So now they have (X - 4) bullets each. But it is given that, after they shot 4 bullets each, total number of bullets remaining is equal to the bullets each had after division i.e. X Therefore, the equation is3 * (X - 4) = X3 * X - 12 = X2 * X = 12X = 6Therefore the total bullets before division is = 3 * X = 18
§ In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
A.360 B.480
C.720 D.5040
E. None of these
Answer: Option C
Explanation:
The word 'LEADING' has 7 different letters.
When the vowels EAI are always together, they can be supposed to form one letter.
Then, we have to arrange the letters LNDG (EAI).
Now, 5 (4 + 1) letters can be arranged in 5! = 120 ways.
The vowels (EAI) can be arranged among themselves in 3! = 6 ways.
Required number of ways = (120 x 6) = 720.
§ A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?
A. 32 B. 48
C. 64 D. 96
E. None of these
Answer: Option C
Explanation:
We may have(1 black and 2 non-black) or (2 black and 1 non-black) or (3 black).Required number of ways= (3C1 x 6C2) + (3C2 x 6C1) + (3C3)
= 3 x6 x 5 + 3 x 2 2 x 1 2 x 1x 6 + 1
= (45 + 18 + 1)
§ A software engineer has the capability of thinking 100 lines of code in five minutes and can type 100 lines of code in 10 minutes. He takes a break for five minutes after every ten minutes. How many lines of codes will he complete typing after an hour?
Answer: 250 lines of codes
§ There was a robbery happened at a bank and 3 suspects taken into custody. Their statements
A: I am innocent
B: I am innocent
C: B did it.
In these three, one is lying and find the culprit
Answer:
if A lied
complement of A (~A) and C contradicts so not possible
if B lied
no contradiction on three statements A, ~B, C
if C lied
not possible to determine the culprit clearly because ~C only gives B did not done that, but no proof who done that
So the answer is B lied and B is Culprit
§ Find the 3 digit no. whose last digit is the square root of the first digit and second digit is the sum of the other two digits. And that number is divisible by 2,3,6,7. What is that number?
Answer : 462
§ Today is Saturday. A person wants to meet a lawyer and as that lawyer is busy he asks him to come three days after the before day of the day after tomorrow? On which day the lawyer asks the person to come?
Answer:
Today is Saturday. Day after tomorrow will be Monday. Day before day after tomorrow must be Sunday. Then Three days after the day before the day after tomorrow is Wednesday. That is the answer
§ A person travels at a speed of 10 mph from one city to another. However while returning as there was not much traffic. He came with a speed of 15mph. what is his average speed?
Answer:
Average Speed = Total distance travelled/Total Time Taken
If x is the distance between cities
then Avg Speed = 2x/[(x/10)+(x/15)]
Then Average Speed is 12 mph
§ If every alternative letter starting from B of the English alphabet is written in small letter, rest all are written in capital letters, how the month " September" be written.
(1) SeptEMbEr (2) SEpTeMBEr (3) SeptembeR
(4) SepteMber (5) None of the above.
Answer: (5).
Explanation:
Since every alternative letter starting from B of the English alphabet is written in small letter, the letters written in small letter are b, d, f... In the first two answers the letter E is written in both small & capital letters, so they are not the correct answers. But in third and fourth answers the letter is written in small letter instead capital letter, so they are not the answers.
§ A student divided a number by 2/3 when he required to multiply by 3/2. Calculate the percentage of error in his result.
Answer: 0 %
Explanation: Since 3x / 2 = x / (2 / 3)