Reasoning Imp Quiz By Nsr

Explanation
The question is asking how many times the 29th date of a month will occur in 400 consecutive years. To find the answer, we need to consider leap years, which occur every 4 years. In 400 years, there will be 100 leap years. Each leap year will have 2 occurrences of the 29th date (February and another month). So, the total number of occurrences of the 29th date will be 400 + 100 = 500. However, since the question asks for a specific month, we need to consider that not all months have 29 days. Only February has 29 days. Therefore, the answer is 500 - 100 = 400.

Explanation
To determine which year has the same calendar as 1990, we need to find a year that has the same pattern of days and dates as 1990. The pattern of days and dates repeats every 28 years, so we need to find a year that is 28 years after 1990. Adding 28 to 1990 gives us the year 2018, which is not one of the options. However, subtracting 28 from 1990 gives us the year 1962, which is also not one of the options. Therefore, the correct answer must be one of the given options. The only option that is 28 years after 1990 is 2001, so it is the correct answer.

Explanation
There are a total of 11 triangles in the given figure. To count them, we can start by identifying the larger triangles. There are 6 larger triangles in the figure. Next, we can look for smaller triangles formed within these larger triangles. There are 5 smaller triangles formed within the larger triangles. Adding these together gives us a total of 11 triangles in the figure.

Explanation
The given figure consists of multiple triangles of different sizes and orientations. To count them accurately, we can start by identifying the larger triangles formed by connecting the vertices of the outer hexagon. There are 12 such triangles. Next, we can count the smaller triangles formed by connecting the midpoints of the sides of the outer hexagon. There are 6 such triangles. Finally, we can count the triangles formed by connecting the vertices of the inner hexagon. There are 18 such triangles. Adding all these counts together, we get a total of 12 + 6 + 18 = 36 triangles in the given figure.

Explanation
The question states that in a class of 39 students, Aamir Khan is ranked 7th. It also mentions that Aamir Khan's rank is 17th from the last. Therefore, if we count 17 ranks from the last, we will reach Aamir Khan's rank. Since there are 39 students in total, counting 17 ranks from the last would mean counting 22 ranks from the beginning. Thus, Rithik's rank would be 22nd.

Explanation
The alarm clock takes 33 seconds to ring 12 times. Therefore, the time taken to ring 1 time is 33/12 = 2.75 seconds. To find the time taken to ring 8 times, we multiply 2.75 seconds by 8, which equals 22 seconds. Therefore, the correct answer is 21 seconds.

Explanation
The minute hand of a clock moves 6 degrees per minute. Since the time is 4:40, the minute hand will be at the 8 position, which is 240 degrees. The hour hand moves 0.5 degrees per minute. Since the time is 4:40, the hour hand will be slightly past the 4 position, which is 130 degrees. The angle between the two hands can be found by subtracting the smaller angle from the larger angle, so 240 - 130 = 110 degrees. However, since the hour hand is slightly past the 4 position, we need to add a small angle to account for the extra minutes. This angle can be found by multiplying the number of minutes past the hour by 0.5 degrees. In this case, it is 40 * 0.5 = 20 degrees. Adding this to the previous angle gives us 110 + 20 = 130 degrees. Therefore, the correct answer is 100 degrees.

Explanation
Since each face of the cube is red in color, there are 64 cubes and each cube has 6 faces. Therefore, the total number of red faces is 64 * 6 = 384. As there are only 8 cubes in the given options, it means that there are 8 cubes that do not have a red face. Hence, the correct answer is 8.

Explanation
Each face of the cube is painted red, and the cube is cut into 64 smaller cubes of equal size. Since each smaller cube has 6 faces, there are a total of 384 faces in the smaller cubes. However, each face of the larger cube is counted twice in this calculation. Therefore, to find the number of cubes with only one face painted, we need to divide 384 by 2, which equals 192. However, this counts the cubes with no faces painted as well. Since there are 64 cubes in total, we subtract the number of cubes with no faces painted (40) to get the final answer of 24.

Explanation
The given correct answer is "Yes." This suggests that the person enjoyed whatever "it" refers to.

Explanation
N^2+1, N^2+2, ...

Explanation
Between 6:00 PM and 7:00 PM, the minute hand of a clock moves 12 times its normal speed. So, in 60 minutes, it will move 12*60 = 720 minutes. Therefore, in 3 minutes, it will move 720/60 * 3 = 36 minutes. Adding this to the initial time of 6:00 PM, the time will be 6:36 PM.

Explanation
The hour hand of the clock completes 12 revolutions in 24 hours, which means it completes 6 revolutions in 12 hours. As the given time period is from 1 PM to 10 PM, it is a span of 9 hours. Therefore, the hour hand will complete 9/12 * 6 = 4.5 revolutions. The minute hand completes 60 revolutions in 12 hours. So, in 9 hours, it will complete 9/12 * 60 = 45 revolutions. The number of times the hour and minute hands will coincide is equal to the number of common multiples of their respective revolutions. The common multiples of 4.5 and 45 are 9, 18, and 36. However, as the hour hand and minute hand coincide at 12 o'clock, we need to subtract 1 from the count. Therefore, the correct answer is 18 - 1 = 17.