Wed. Jun 23rd, 2021

## Logical and Aptitude Test Questions with Answers

Here is the collection of some really nice logical & aptitude test questions for interview or quiz preparation. Answers of the logical & aptitude questions are provided for the reference at the bottom of this article. Here are some aptitude questions and answers with explanation for interview, competitive examination and entrance test. Fully solved examples with detailed answer for each aptitude question. Learn & practice with these aptitude test questions and answers.

Aptitude Test Questions and Answers

1. A snail is at the bottom of a 20 meters deep pit. Every day the snail climbs 5 meters upwards, but at night it slides 4 meters back downwards. How many days does it take before the snail reaches the top of the pit?
2. A light bulb is hanging in a room. Outside of the room there are three switches, of which only one is connected to the lamp. In the starting situation, all switches are off and the bulb is not lit. If it is allowed to check in the room only once to see if the bulb is lit or not (this is not visible from the outside), how can you determine with which of the three switches the light bulb can be switched on?
3. The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?
4. If 5+3+2 = 151012, 9+2+4 = 183662, 8+6+3 = 482466, 5+4+5 = 202504 then what will be the answer of 7+2+5? Only 2% people are able to solve this aptitude question. Let’s see if you can do it.
5. At a party, everyone shook hands with everybody else. There were 66 handshakes. How many people were at the party?
6. Three people picked 65 apples altogether. At the first tree they each picked the same number of apples. At the second tree they each picked 3 times as many as they picked at the first tree. When they finished at the third tree, the group had 5 times as many apples as they had when they started at that tree. At the fourth tree the group picked just 5 apples. How many apples did each person pick at the first tree?
7. A cube of side 4cm is painted with 3 colors red, blue and green in such a way that opposite sides are painted in the same color. This cube is now cut into 64 cubes of equal size.1. How many have at least two sides painted in different colors.

2. How many cubes have only one side painted.

3. How many cubes have no side painted.

4. How many have exactly one side not painted.

8. A man wanted to enter an exclusive club but did not know the password that was required. He waited by the door and listened. A club member knocked on the door and the doorman said, “twelve.” The member replied, “six” and was let in. A second member came to the door and the doorman said, “six.” The member replied, “three” and was let in. The man thought he had heard enough and walked up to the door. The doorman said, “ten” and the man replied, “five”. But he was not let in. What should have he said?
9. A man decides to buy a nice horse. He pays \$60 for it, and he is very content with the strong animal. After a year, the value of the horse has increased to \$70 and he decides to sell the horse. But already a few days later he regrets his decision to sell the beautiful horse, and he buys it again. Unfortunately he has to pay \$80 to get it back, so he loses \$10. After another year of owning the horse, he finally decides to sell the horse for \$90. What is the overall profit the man makes?
10. In the middle of a round pool lies a beautiful water-lily. The water-lily doubles in size every day. After exactly 20 days the complete pool will be covered by the lily. After how many days will half of the pool be covered by the water-lily?

Answers of Aptitude Test Questions

1. 16 days. Since the snail moves up 1 meter a day so it will reach 15 meters in 15 days. next day it will again climb 5 meters upward and reaches the top.
2. To find the correct switch (1, 2 or 3), turn switch 1 to ON and leave it like that for a few minutes. After that you turn switch 1 back to OFF, and turn switch 2 to ON. Now enter the room. If the light bulb is lit, then you know that switch 2 is connected to it. If the bulb is not lit, then it has to be switch 1 or 3. Now touching the light bulb will give you the answer. If the bulb is still hot, then switch 1 is connected to the bulb; if the bulb is cold, then it has to be switch 3.
3. The difference between the two digits of that number is 4. Explanation: Let the ten’s digit be x and unit’s digit be y. Then, (10x+y)-(10y+x) = 36 i.e. 9(x-y) = 36 and that results to x-y = 4.
4. 7 + 2 + 5 = 143542. Explanation: a + b + c leads to a 6-digit number.1. The first and second digits are the product of a and b.

2. The third and fourth digits are the product of a and c.

3. The fifth and sixth digits are b*(a+c) with the digits of the solution reversed.

5. With two people, there is one handshake. With three people, there are three handshakes. With four people, there are six handshakes. In general, with n+1 people, the number of handshakes is the sum of the first n consecutive numbers: 1+2+3+…+n. Since this sum is n(n+1)/2, we need to solve the equation n(n+1)/2 = 66. This is the quadratic equation n2+n-132 = 0. Solving for n, we obtain 11 as the answer and deduce that there were 12 people at the party.
6. One Apple
7. Here are the answers.1. Cubes that have at least two sides painted in different colours are 24 + 8 = 32.

2. Cubes that have only one side painted are 24.

3. Cubes that have no side painted = 8.

4. Cubes that have exactly one side not painted = 0.

8. The man had to reply the number of characters in the word the Doorman was asking. He should have replied “Three” instead of “Five”.
9. Consider the trade-story as if it describes two separate trades, where: In the first trade, the man buys something for \$60 and sells it again for \$70, so he makes a profit of \$10. In the second trade, the man buys something for \$80 and sells it again for \$90, so he makes again a profit of \$10.Conclusion: The man makes an overall profit of \$10 + \$10 = \$20.

You can also look at the problem as follows:

The total expenses are \$60 + \$80 = \$140 and the total earnings are \$70 + \$90 = \$160. The overall profit is therefore \$160 – \$140 = \$20.

10. 19 days. Since the water-lily doubles its size every day and the complete pool is covered after 20 days, half of the pool will be covered one day before that, so 19 days.