Aptitude - Puzzle

There is some books for refrence:

1.  Quantitative Aptitiute - R.S.Aggarwal (MUST)
2. Analytical Reasoning - Barron's GRE - 12th Edition (MUST)
3. Discrete Quantitative Questions - Barron's GRE (MUST)
4. Previous Question Papers (MUST)
5. Brain Teasers - Ravi Narula (OPTIONAL)
6. Puzzles to puzzle u and more puzzles to puzzle u - Shakuntala Devi (OPTIONAL)
7. The Great Book of Puzzles and Teasers - George Summers.
Four children buy twenty toffees for twenty cents. One fudge costs 4 cents. 4 of another toffee costs 1 penny. 2 of another toffee costs 1 penny. How many of each toffee did the children buy?

There is a five digit number. The second digit is 5 greater than the first. The sum of first and second is less than the third digit. The fourth digit is double the fifth. The fourth digit is half the third. Find the number.

The age of one was half that of the other plus seven years. Ten years later when they married, the bride's age was now 30, but now was nine-tenths the age of the other. What was the bride-groom's age?

A cube is painted. It is cut into 27 cubes. Find the number of cubes with:
   a. 3 sides painted
   b. 2 sides painted
   c. 1 side painted
   d. no painted sides

A thief goes to a jewellery shop. He takes half of the diamonds plus 2 more. Another thief takes half of the remaining diamonds and two more. The third and fourth do the same. When the fifth arrives he sees only one diamond left. What was the original number of diamonds in the shop?

One pizza is ordered and kept in the kitchen. Four people are playing a game. In due course of time each had been to the kitchen once. At the end of play, when they go to the kitchen they find the pizza eaten. One of them has eaten. Find out who ate if only one of the following statements is true.
a. L: M ate it.
b. M: O ate it.
c. N: Who me? I did not eat it.
d. O: I did not eat it.

7. An artist has exactly seven paintings - T, U, V, W, X, Y and Z - from which she must choose exactly five to be in an exhibit. Any combination is acceptable provided it meets the following conditions:
a. If T is chosen, X cannot be chosen.
b. If U is chosen, Y must also be chosen.
c. If V is chosen, X must also be chosen.

a. Which one of the following is an acceptable combination of paintings for inclusion in the exhibit?
1. TUVXY
2. TUVYZ
3. TWXYZ
4. UVWYZ
5. UVWXY

b. If painting T is chosen to be among the paintings included in the exhibit which one of the following cannot be chosen to be among the paintings included in the exhibit?
1. U
2. V
3. W
4. Y
5. Z

c. Which one of the following substitutions can the artist always make without violating restrictions affecting the combination of paintings given that the painting mentioned first was not and the painting mentioned second was originally going to be chosen?
1. T replaces V.
2. U replaces Y.
3. V replaces X.
4. W replaces Y.
5. Z replaces W.

d. If the artist chooses painting V to be included among the paintings in the exhibit, which one of the following must be true of that combination of paintings?
1. T is not chosen.
2. Y is not chosen.
3. U is chosen.
4. W is chosen.
5. Z is chosen.

Tap A alone can fill the tank in 10 minutes. Tap B can fill it in quarter of an hour. Tap C can empty a full tank in exactly seven and half minutes. If all the taps are opened simultaneously, will the tank ever fill and in how many minutes?

Two coin is flipped. One gets $ 1 on winning. At the end of play, one had won $ 3 and the other had won three times. How many games did they play altogether?