Number Operations and Properties

Let the number be x. (1/3) * (1/4) * x = 15, so x/12 = 15, which means x = 180. Three-tenth of 180 is (3/10) * 180 = 54.

In subtraction, the minuend is the number we subtract FROM, while the subtrahend is the number being subtracted. The question asks for the number being subtracted, making 'subtrahend' the correct answer. Carry and sum are unrelated to subtraction terminology.

Google can do math directly in the search bar. Just type the expression as-is: ((2*6)/3)^2. You don't need special operators like 'calculate:' or 'show results:'. Option D is incorrect - Google handles mathematical calculations natively.

Dividing by 1/2 means multiplying by 2. So 30 divided by 1/2 = 30 x 2 = 60. Then 60 + 10 = 70. The common mistake is dividing 30 by 2, which would give 15, but the question specifies dividing by 1/2, not 2. Options C (15) and B (35) result from this error.

Following order of operations (PEMDAS/BODMAS), multiply first: 5*5 = 25, then add: 25+6 = 31, which is option B. Option A (55) incorrectly treats this as concatenation. Option C (16) incorrectly does 5*5=25, then 2+5=7, then 7+6=13 (not 16 anyway). Option D is nonsensical.

Using order of operations (PEMDAS/BODMAS): Calculate from left to right, handling multiplication and division first: 2×5 = 10, then 6÷3 = 2, then 2×10 = 20. Finally: 10 - 20 + 20 = 10. The division and multiplication happen before the final addition and subtraction.

This is a wordplay riddle. Grammatically, you can only subtract 5 from 25 once - after that, you're subtracting from 20, 15, 10, or 5. The question asks 'how many times' (frequency), not 'how many times repeatedly'. 'None of these' is correct because options 5, 3, and 0 all miss the linguistic trick.

If 1+1=2 is 'wrong', then basic arithmetic is invalid. Following this premise, 9+2=11 would also be wrong. Option D '11 is wrong' correctly identifies that the answer 11 is incorrect under the premise that standard addition is wrong.

In the cryptarithm SEND + MORE = MONEY, each letter represents a unique digit (0-9). Solving the column addition from right to left: D+E=Y (with possible carry), N+R=E (with carry), E+O=N (with carry), S+M=M (which means S=9 with carry). The unique solution is S=9, E=5, N=6, D=7, M=1, O=0, R=8, Y=2, giving SEND=9567, MORE=1085, and MONEY=10652.

This is a trick question - you can subtract 5 from 25 only once, because after one subtraction you have 20, not 25. The question specifically asks about subtracting from 25.

This is a mental math trick question. 1000+40+1000+30+1000+20+1000+10 = 4100. The riddle relies on people mistakenly grouping as thousands and getting 5000.

Sn has terms 3, 8, 15, 24, 35... where the k-th term is k²+2k. S20 = sum from k=1 to 20 of (k²+2k) = 2870 + 420 = 3290. S'n has terms 6, 11, 18, 27... where the k-th term is k²+2k+3. S'20 = sum from k=1 to 20 of (k²+2k+3) = 2870 + 420 + 60 = 3350. Therefore S20 - S'20 = 3290 - 3350 = -60.

Let the number be x. When multiplied by 13, it becomes 13x. The statement 'becomes greater to 105 by an amount with which it is lesser to 105 by now' means: the excess over 105 after multiplication equals the deficit before multiplication. So 13x - 105 = 105 - x, which gives 14x = 210, so x = 15. Indeed, 15 is 90 less than 105, and 195 (15×13) is 90 more than 105.