Age Problems and Number Puzzles

The pattern is: (0+1)+2=3, (1+3)+2=6, (3+6)+4=13. The logic is inconsistent. However, another pattern is (Previous * 2) + increment: 02+1=1, 12+1=3, 32+0=6, 62+1=13, 13*2+0=26. This fits the '26' answer.

The sequence follows a multiplication pattern: 3x2=6, 6x3=18, 18x4=72, 72x5=360. The next step is 360x6, which equals 2160. The other options do not follow this progressive multiplier logic.

Let John's current age be x. Five years ago he was (x-5). In 8 years he will be (x+8). The equation is (x-5) = (x+8)/2. Solving: 2x-10 = x+8, so x = 18. Checking: five years ago he was 13, in 8 years he'll be 26, and 13 is half of 26.

Let age be x. (x - 5) = 0.5 * (x + 8). Multiplying by 2: 2x - 10 = x + 8. Solving for x gives x = 18. Thus, John is currently 18 years old.

Let Alice = x, Peter = x+5, John = 2(x+5). In 5 years: John+5 = 3(Alice+5) -> 2x+10+5 = 3x+15 -> 2x+15 = 3x+15 -> x=0. If Alice is 0, Peter is 5. John (10) will be 15, Alice (0) will be 5. 15 is 3x5.

Let Alice = x, John = 2x, Father = 10x. In two years: (x+2) + (2x+2) + (10x+2) = 58. 13x + 6 = 58 -> 13x = 52 -> x = 4. John is 2x, so 2 * 4 = 8. The logic confirms 8 is correct.

Let Al's age be x. The equation is 2x + 15 = 45. Subtracting 15 gives 2x = 30, so x = 15. Thus, Al is 15 years old. The other options do not satisfy the mathematical condition provided.

Let Lori's age be x, then Karen is 2x. In 3 years: (2x+3) + (x+3) = 42. Simplifying: 3x + 6 = 42, so 3x = 36 and x = 12. Therefore Karen is 2(12) = 24 years old. Checking: in 3 years they'll be 27 and 15, which sum to 42.

The phrase 'kick the habit' is a common English idiom meaning to stop doing something that is difficult to quit, such as smoking or drinking. 'Kiss', 'blow', or 'hit' the habit are not recognized idioms for cessation.

The idiom 'kiss something goodbye' means to accept that you have lost something or will not get it. When the stock market crashed, the speaker had to accept losing their profits. The other verbs (blow, kick, hit) do not form this common English expression.

'Drop someone a line' is an idiomatic expression meaning to write to someone or contact them, usually by letter or email. The sentence asks someone to write when they arrive in Japan. Hold, climb, and blow do not form this common expression.

The idiom 'climbing the wall' (or walls) means to be extremely frustrated, anxious, or impatient. 'Kicking', 'biting', or 'kissing' the wall are not standard idioms used to describe a state of extreme impatience.

'Hold off' means to delay or wait before doing something. The speaker wants the boss to delay his demands. Hit, blow, and climb do not create this meaning when combined with 'off'.

'Blow your lid' or 'flip your lid' is an idiom meaning to suddenly become very angry or lose your temper. Peter's father got angry about the poor grades. Hit, kick, and bit do not form this common expression.

'Drop a bundle' is an idiom meaning to spend a large amount of money. The expensive new computer suggests Mary spent a lot. Bit, climbed, and held do not form this common expression about spending money.

To solve this question, the user needs to know the meaning of the phrase "egg on his face," which means to be embarrassed or humiliated by something that you have done.

Now, let's go through each option and explain why it is right or wrong:

A. on his teeth: This option is incorrect because having egg on your teeth is not an idiom that conveys embarrassment or humiliation.

B. on his face: This option is correct. When someone has "egg on their face," it means they are embarrassed or humiliated by something they have done or failed to do. In this case, Jack is embarrassed because he couldn't remember how to spell "Batman."

C. on his shirt: This option is incorrect because having egg on your shirt is not an idiom that conveys embarrassment or humiliation.

D. on his fingers: This option is incorrect because having egg on your fingers is not an idiom that conveys embarrassment or humiliation.

Therefore, the answer is: B. on his face.

'So still you could hear a pin drop' is a common idiom describing complete silence. The theater became quiet as the conductor was about to start the music. His heartbeat, bird wings, and drum beating would be sounds, not descriptions of silence.

The idiom is 'food for thought' - meaning something that deserves careful consideration. The other options don't complete a standard English expression.

The idiom is 'nuts and bolts' - referring to the basic, practical details of something. Screws, hammers, and nails are tools, but 'bolts' completes this specific expression.

The idiom is 'cup of tea' - meaning something that suits one's taste or preference. The speaker is saying hip hop isn't their preferred genre.