1.
The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is
Correct Answer
C. 44
Explanation
When each side of a rectangle is increased by 20%, the new length and width will be 120% of the original length and width. To find the percentage increase in area, we need to calculate the difference between the new area and the original area as a percentage of the original area. The new area is (120% * 120%) = 144% of the original area. Therefore, the percentage increase in area is 144% - 100% = 44%.
2.
In a cage, there are rabbits and parrots and the number of heads are 28 and feet are 72. Find the number of parrots and rabbits.
Correct Answer
A. 20,8
Explanation
Let's assume the number of rabbits is represented by 'r' and the number of parrots is represented by 'p'. Each rabbit has one head and four feet, while each parrot has one head and two feet. From the given information, we can form two equations: r + p = 28 (equation 1) and 4r + 2p = 72 (equation 2). Solving these equations simultaneously, we find that r = 8 and p = 20. Therefore, there are 8 rabbits and 20 parrots in the cage.
3.
Statements:
- All fruits are vegetables.
- All the pens are vegetables.
- All vegetables are rains.
Conclusions:
- All the fruits are rains.
- All the pens are rains.
- Some rains are vegetables.
Correct Answer
E. All Follows
Explanation
The given conclusion "All the fruits are rains" does not follow from the statements because there is no direct or indirect relationship stated between fruits and rains. The conclusion "All the pens are rains" also does not follow because there is no mention of pens being related to rains in the statements. However, the conclusion "Some rains are vegetables" does follow as it can be inferred from the statement "All vegetables are rains". Therefore, only conclusion III follows.
4.
Correct Answer
B. O
5.
The school principal has received complaints from parents about bullying in the school yard during recess. He wants to investigate and end this situation as soon as possible, so he has asked the recess aides to watch closely. Which situation should the recess aides report to the principal?
Correct Answer
B. Four girls are surrounding another girl and seem to have possession of her backpack
Explanation
The situation that the recess aides should report to the principal is when four girls are surrounding another girl and seem to have possession of her backpack. This situation suggests a potential case of bullying or harassment, as the girl may be feeling threatened or intimidated by the others. By reporting this to the principal, the aides can help bring attention to the situation and ensure that appropriate action is taken to address the bullying issue.
6.
If one-third of one-fourth of a number is 12,then two eights of that number is :
Correct Answer
C. 36
Explanation
If one-third of one-fourth of a number is 12, it means that one-fourth of the number is 12 multiplied by 3, which equals 36. Therefore, two eights of that number would be 2 multiplied by 8, which also equals 36.
7.
How many triangles are there?
Correct Answer
D. 20
Explanation
To determine the number of triangles, we can count the number of triangles in each row and add them up. In the first row, there are 3 triangles. In the second row, there are 6 triangles. In the third row, there are 9 triangles. And in the fourth row, there are 2 triangles. Adding them up, we get 3 + 6 + 9 + 2 = 20 triangles in total.
8.
Which of these would add up the numbers from A3 to A6 in Microsoft Excel?
Correct Answer
A. =Sum(A3:A6)
Explanation
The correct answer is "=Sum(A3:A6)". In Microsoft Excel, the "Sum" function is used to add up a range of cells. The formula "=Sum(A3:A6)" specifies that the sum should be calculated from cell A3 to A6. This formula will correctly add up the numbers in the specified range. The other options "=Add(A3:A6)" and "=Add(A3,A6)" are not valid Excel functions, and "(A3+A6)" will only add the values in cells A3 and A6, not the range of cells from A3 to A6.
9.
A grandfather, a father and two sons went hunting, everyone shot a duck, how many ducks did they bring home?
Correct Answer
C. 3
Explanation
The question states that each person shot a duck, so there were a total of four ducks shot. However, the question asks how many ducks they brought home, and it does not specify that they brought all the ducks home. Therefore, it is possible that they only brought three ducks home, leaving one behind.
10.
A grandfather, a father and two sons went hunting, everyone shot a duck, how many ducks did they bring home?
Correct Answer
C. Both
Explanation
The answer "Both" suggests that all four family members successfully shot a duck while hunting.
11.
There are 8 houses in a line and in each house, only one boy lives with the conditions as given below:
Jack is not the neighbor Siman.
Harry is just next to the left of Larry.
There is at least one to the left of Larry.
Paul lives in one of the two houses in the middle.
Mike lives in between Paul and Larry.
If at least one lives to the right of Robert and Harry is not between Toad and Larry, then which one of the following statements is not correct?
Correct Answer
C. Taud is in between Paul and Jack.
Explanation
According to the given conditions, Mike lives between Paul and Larry. This means that Paul and Larry must be neighbors. Therefore, Taud cannot be in between Paul and Jack, as stated in the fourth option.
12.
Read the sentence to find out whether there is any grammatical error in it. The error, if any will be in one part of the sentence. The letter of that part is the answer. If there is no error, the answer is 'D'. (Ignore the errors of punctuation, if any).
Correct Answer
A. We discussed about the problem so thoroughly
13.
Mary, who is sixteen years old, is four times as old as her brother. How old will Mary be when she is twice as old as her brother?
Correct Answer
C. 24
Explanation
Mary is currently 16 years old and four times as old as her brother. This means her brother is 16/4 = 4 years old. To find out when Mary will be twice as old as her brother, we need to find the age difference between them. Currently, the age difference is 16 - 4 = 12 years. To double this age difference, we need to wait for another 12 years. Therefore, Mary will be 16 + 12 = 28 years old. However, the question asks for Mary's age, not the age difference. Therefore, we subtract the age difference from Mary's future age, which is 28 - 4 = 24. Hence, Mary will be 24 years old when she is twice as old as her brother.
14.
At the end of a banquet 10 people shake hands with each other. How many handshakes will there be in total?
Correct Answer
C. 45
Explanation
In this scenario, each person shakes hands with 9 other people, as they cannot shake hands with themselves. Since there are 10 people in total, we can calculate the total number of handshakes by multiplying the number of people by the number of handshakes each person makes (10 x 9 = 90). However, this counts each handshake twice (e.g., person A shaking hands with person B and person B shaking hands with person A). Therefore, we need to divide the total by 2 to get the correct number of handshakes. So, the total number of handshakes will be 45.