Puzzle - Study Mode

[#1] In a lake, there are 10 steps labelled using alphabets from A to J. Starting from step A, every minute a frog jumps to the 4th step from where it started - that is from the step A it would go to the step E and from E it would go to the step I and from I it would go to C etc. Where would the frog be at the 60th minute if it starts at the step A ?
Correct Answer

(B) A

Explanation

Solution: The steps are labelled using alphabets from A to J. TO MAKE IT EASY, WE HAVE ASSIGNED NUMBERS TO THE STEPS AS FOLLOWS: Labelled with alphabets : A B C D E F G H I J Labelled with numbers : 1 2 3 4 5 6 7 8 9 10 The frog takes total 60 minutes and takes 4 step length jumps every time. Thus, 1st minute : 1 + 4 = 5th step (E) 2nd minute : 5 + 4 = 9th step (I) 3rd minute : 9 + 4 = 3rd step (C) 4th minute : 3 + 4 = 7th step (G) 5th minute : 7 + 4 = 11 = 10+1 = 1st step (A) The same process is repeated 12 x 5 times. Then, the jumping positions are 1 5 9 3 7 1 5 9 3 7 1 5 9 3 7 and so on. After 15 cycles, frog will be in the 1st position
i.e., at 5th minute, 10th minute, 15minutes....60th minute frog will be in the 1st position. i.e., at 60t

[#2] In a family there are several brothers and sisters. Every 2 boys have brothers as many as sisters and each girl has 2 brothers less than twice as many brothers as sisters. Now find the number of boys and girls.
Correct Answer

(A) 8 , 6

Explanation

Solution: Let B be the number of brothers and S be the number of sisters in the family. Step 1: Understanding the condition for the boys If we pick any 2 boys, they will have (B - 2) other brothers (excluding themselves). According to the question, this number is equal to the number of sisters they have. So, we get: B - 2 = S Rewriting this: B - S = 2 ............(1) Step 2: Understanding the condition for the girls Each girl has (S - 1) sisters (excluding herself). Twice the number of sisters = 2(S - 1) Each girl has 2 brothers less than that: So, number of brothers B = 2(S - 1) - 2 Simplifying: B = 2S - 4 ............(2) Step 3: Solving the equations Now, substitute equation (2) into equation (1): (2S - 4) - S = 2 2S - 4 - S = 2 S = 6 Now substitute S = 6 back into equation (1): B - 6 = 2 B = 8 Final Answer: There are 8 boys and 6 girls in the family. Correct Option: A) 8 , 6

[#3] In a row of trees, a tree is 7 th from left end and 14 th from right end. How many tree are there in the row ?
Correct Answer

(C) 20

Explanation

Solution: Total number of trees,
= 7+14-1
= 20

[#4] B is twice as old as A but twice younger than F. C is half the age of A but is twice older than D. Who is the second oldest ?
Correct Answer

(A) B

Explanation

Solution: Let, A = x
Then, B = 2x
and, F = 4x
C = x/2
and D = x/4
Thus, The second oldest is B.

[#5] Ramesh ranks 13 th in the class of 33 students. There are 5 students below Suresh rankwise. How many student are there between Ramesh and Suresh ?
Correct Answer

(B) 14

Explanation

Solution: 1 2 3 4 5 6 7 8 9 10 11 12 Ramesh 14 ... ... ... ... ... ... ... ... ... ... Suresh 5 4 3 2 1 Total Number of Student = 33 Number of student in between Ramesh and Suresh is,= 33 - (13+6)
= 14 .