Knack Up! (Round 1)

D sits third to the left of C. Since B sits at the extreme right end of the row, D must sit to the left of B. Therefore, D is sitting at the extreme left of the line.

The letters AG, CE, DA, and GB all have a common pattern in their seating positions - the first letter comes before the second letter in alphabetical order. However, the seating position of AF does not follow this pattern, as F comes before A in alphabetical order. Therefore, AF is the one that does not belong to the group.

When the digits of the number "8154276367" are arranged in ascending order from left to right, we get the number "1234566778". In this new arrangement, the digits 1 and 7 remain in the same position as in the original number. Therefore, the correct answer is "Two".

The word "LEADER" is coded as 20-13-9-12-13-26. Each letter is assigned a number based on its position in the alphabet. Applying the same coding pattern to the word "LIGHT", we get 20-17-15-16-28.

The compound interest can be calculated using the formula A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the rate of interest, n is the number of times interest is compounded per year, and t is the number of years. In this case, P = 5000, r = 12%, n = 1 (since interest is compounded annually), and t = 2. Plugging in these values, we get A = 5000(1 + 0.12/1)^(1*2) = 5000(1 + 0.12)^2 = 5000(1.12)^2 = 5000*1.2544 = 6272. The compound interest is then A - P = 6272 - 5000 = 1272. Therefore, the correct answer is 1272.

The product of two successive numbers is 4692. To find the smaller of the two numbers, we need to find the factors of 4692. The factors of 4692 are 1, 2, 3, 4, 6, 12, 13, 26, 36, 39, 52, 78, 156, 299, 598, 897, 1196, 1794, 2392, and 3591. Since we are looking for two successive numbers, the smaller number must be one of the factors that is followed by the next factor. The factor 68 is followed by the factor 69. Therefore, the smaller of the two numbers is 68.

Today is Monday. There are 7 days in a week, so every 7 days the day of the week repeats. After 61 days, we can divide 61 by 7 to find the remainder. 61 divided by 7 is 8 remainder 5. Therefore, after 61 days, it will be 5 days ahead of Monday, which is Saturday.

X can do 1/20 of the work in a day, while Y can do 1/12 of the work in a day. In 4 days, X completes 4/20 or 1/5 of the work. So, the remaining work is 4/5. When X and Y work together, their combined rate is 1/20 + 1/12 = 8/60 + 5/60 = 13/60 of the work per day. It will take them (4/5)/(13/60) = 48/65 days to complete the remaining work. Adding the 4 days that X worked alone, the total time taken is 48/65 + 4 = 10 days.

There are three persons sitting between F and E.

The given question follows a pattern where each letter in the word "MOUSE" is replaced by the letter that comes two positions later in the English alphabet. Applying the same pattern to the word "LIGHT", we get "JJEIR".

not-available-via-ai

C sits exactly in the middle of the line because there are two people on either side of C.

The position of E with respect to A is third to the right.

The person is not related to the girl in any of the given options. Since the person has no brother, it means that the girl cannot be his daughter, daughter-in-law, or granddaughter. Therefore, the correct answer is "None of these".

If A's height is 10% more than B's, it means that A's height is 110% of B's height. To find out how much percent less B's height is than that of A, we can subtract B's height from A's height and express it as a percentage of A's height.

Let's assume B's height is x.
A's height would be 110% of x, which is 1.1x.
To find the percentage difference, we subtract B's height from A's height: 1.1x - x = 0.1x.
Then, we express this difference as a percentage of A's height: (0.1x/A's height) * 100.

Since we don't have the exact values of A's and B's heights, we cannot calculate the exact percentage difference. Therefore, the answer "9 1/11%" is a general representation of the percentage difference between B's height and A's height.

The gain percentage can be calculated by finding the difference between the selling price and the cost price, and then dividing that difference by the cost price and multiplying by 100. In this case, since the cost price of 12 pens is equal to the selling price of 8 pens, there is a gain of 4 pens. Therefore, the gain percentage would be 4/8 * 100 = 50%.

not-available-via-ai

When working together, A, B, and C can complete 1/3, 1/5, and 1/10 of the work in one day, respectively. To find the time taken to complete the work together, we need to add up their individual rates of work. Adding 1/3, 1/5, and 1/10 gives us 1/1.5, which means they can complete the work in 1.5 days if they work together.

To determine the day of the week on Jan 1, 2010, we need to count the number of days between Jan 1, 2006, and Jan 1, 2010. From Jan 1, 2006, to Jan 1, 2007, there are 365 days. From Jan 1, 2007, to Jan 1, 2008, there are 365 days. From Jan 1, 2008, to Jan 1, 2009, there are 366 days (leap year). From Jan 1, 2009, to Jan 1, 2010, there are 365 days. Adding all these days, we get a total of 1461 days. Since 1461 is divisible by 7, the day of the week repeats every 7 days. Therefore, Jan 1, 2010, will be the same day of the week as Jan 1, 2006, which is Friday.

The given expression "J - K ÷ L + P" can be interpreted as "J is the brother of K, who is the wife of L, and P is their daughter." This can be simplified to "J is the brother of K, who is the wife of L, and P is their daughter." Therefore, the expression represents the statement "K is the mother of P."

The number of people sitting in the row cannot be determined based on the given information. We know that Ram is 23rd from the left end and Aman is 25th from the right end, but we do not know the total number of people in the row. Therefore, we cannot determine the number of people sitting in the row.

G sits second to the right of C.

The pattern in the given series is that each letter represents the cube of its corresponding position in the English alphabet.
F is the 6th letter, and 6^3 = 216.
L is the 12th letter, and 12^3 = 1728.
Therefore, the missing number should correspond to the letter 12 (L), so 12^3 = 2197.

Among the given options, the correct answer is "Three". This means that out of all the persons, three of them are facing outside the center.

There are two persons sitting between A and E when counted to the right of E.