1.
What should be the next number in this series: 1, 2, 5, 10, 17, 26
Correct Answer
C. 37
Explanation
The series follows a pattern where each number is obtained by adding consecutive odd numbers. Starting with 1, we add 1 to get 2, then add 3 to get 5, add 5 to get 10, add 7 to get 17, and add 9 to get 26. Therefore, the next number should be obtained by adding 11 to 26, resulting in 37.
2.
Which number does not belong to the following series: 1, 8, 10, 16, 19
Correct Answer
B. 8
Explanation
The series is formed by adding 7, 2, 6, and 3 successively to the previous number. However, the number 8 does not follow this pattern as it is not formed by adding any specific number to the previous number. Hence, 8 does not belong to the given series.
3.
If n is an odd number then 3n is also an odd number.
Correct Answer
A. True
Explanation
If n is an odd number, it means that it cannot be divided evenly by 2. When we multiply an odd number by 3, the result will still not be divisible by 2, making it an odd number as well. Therefore, the statement that if n is an odd number then 3n is also an odd number is true.
4.
If x > 0 and x^2 + 2x - 15 = 0, then x =
Correct Answer
B. 3
Explanation
The given equation is a quadratic equation in the form of ax^2 + bx + c = 0. By factoring the equation, we can find the values of x that satisfy the equation. In this case, we can factor the equation as (x - 3)(x + 5) = 0. Therefore, the values of x that satisfy the equation are x = 3 and x = -5. However, since the question states that x > 0, the only valid solution is x = 3.
5.
In a right triangle, if the two legs are 6 and 8 respectively then what is the length of the hypotenuse?
Correct Answer
D. 10
Explanation
In a right triangle, the Pythagorean theorem states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two legs. In this case, the square of the length of the hypotenuse is equal to 6^2 + 8^2 = 36 + 64 = 100. Taking the square root of 100 gives us a length of 10 for the hypotenuse.
6.
What is the missing number?
Correct Answer
C. 28
Explanation
In the given series, the numbers are increasing by 3 in each step. Starting from 23, the next number is 26, then 29. Therefore, the missing number should be 28, as it follows the pattern of increasing by 3.
7.
All lines of the figure meet at right angles. Find the area of the figure.
Correct Answer
C. 268 cm2
8.
The cuboid is made up of 1-cm cubes. The volume of the cuboid is ... cm^{3}
Correct Answer
C. 45
Explanation
The volume of a cuboid can be calculated by multiplying its length, width, and height. Since the cuboid is made up of 1-cm cubes, the length, width, and height of the cuboid are all 5 cm. Therefore, the volume of the cuboid is 5 cm x 5 cm x 5 cm = 125 cm3. Since none of the given options match this calculation, the correct answer is not available.
9.
What fraction of the circles are shaded?
Correct Answer
D. 8/15
Explanation
To find the fraction of shaded circles, we need to count the number of shaded circles and divide it by the total number of circles. In this case, the number of shaded circles is 8 and the total number of circles is 15. Therefore, the fraction of shaded circles is 8/15.
10.
Which of the following solids is made up of the least number of unit cubes?
Correct Answer
B. Option 2
11.
The cost of 4 tennis rackets and 3 badminton rackets was $580. The cost of 2 tennis rackets and 2 badminton rackets was $320. What was the cost of a badminton racket?
Correct Answer
B. $60
Explanation
Let's assume the cost of a tennis racket is x and the cost of a badminton racket is y. From the given information, we can form two equations: 4x + 3y = 580 and 2x + 2y = 320. By solving these equations simultaneously, we can find the values of x and y. Subtracting the second equation from the first equation, we get 2x + y = 260. Substituting the value of y from this equation into the second equation, we get 2x + 2(260 - 2x) = 320. Solving this equation, we find x = 120. Substituting this value into the first equation, we get 4(120) + 3y = 580. Solving this equation, we find y = 60. Therefore, the cost of a badminton racket is $60.
12.
A group of students took an English test. The bar graph shows the scores obtained by the students. What percentage of the students had a score of 80 and above?
Correct Answer
B. 40%
Explanation
The bar graph shows the scores obtained by the students. To find the percentage of students who scored 80 and above, we need to add up the number of students who scored 80 and above and divide it by the total number of students. Looking at the bar graph, it can be observed that the bar representing scores of 80 and above is larger than the bar representing scores below 80. Therefore, it can be concluded that more than 30% of students scored 80 and above. Among the given options, the closest percentage to this observation is 40%, making it the correct answer.
13.
Joe was both 5th highest and 5th lowest in a race. How many people participated in the race?
Correct Answer
C. 9
Explanation
Joe being both the 5th highest and 5th lowest in a race means that there are 4 people ahead of him and 4 people behind him. Therefore, there are a total of 9 people who participated in the race.
14.
A pair of socks costs $3. John bought a shirt with 1/3 of his money. He then used 2/5 of the remainder to buy 8 pairs of socks. How much money did he have at first?
Correct Answer
C. 90
Explanation
John bought a shirt with 1/3 of his money, which means he had 2/3 of his money remaining. He then used 2/5 of this remaining money to buy 8 pairs of socks. If 2/5 of the money is equal to 8 pairs of socks, then 1/5 of the money is equal to 4 pairs of socks. So, if 1/5 is equal to 4 pairs, then the total amount of money he had remaining is 5 times 4, which is 20. Since he had 2/3 of his money remaining, we can calculate that 2/3 is equal to 20, so the total amount of money he had at first is 3 times 20, which is 60. Therefore, the correct answer is 60.
15.
This year, Peter is 10 years older than his younger brother John.
5 years later, Peter's age is double than John.
How old is Peter now?
Correct Answer
C. 15 years old
Explanation
Peter's age is 10 years older than John's age. If we let John's age be x, then Peter's age would be x + 10. Five years later, Peter's age would be (x + 10) + 5 = x + 15, and John's age would be x + 5. It is given that Peter's age is double John's age, so we can write the equation (x + 15) = 2(x + 5). Solving this equation, we get x = 5. Therefore, John is currently 5 years old, and Peter's age is 5 + 10 = 15 years old.
16.
What is the capital city of Australia
Correct Answer
D. Canberra
Explanation
Canberra is the correct answer because it is the capital city of Australia. While Sydney and Melbourne are major cities in Australia, they are not the capital. Brisbane is also a major city, but it is not the capital either. Canberra was specifically chosen to be the capital of Australia and is home to many important government buildings and institutions.
17.
Which countries led the two sides during the Cold War?
Correct Answer
A. Soviet Union vs US
Explanation
During the Cold War, the two main sides were led by the Soviet Union and the United States. The Cold War was a period of political tension and military rivalry between these two superpowers, characterized by ideological differences and a race for global influence. The Soviet Union, under the leadership of the Communist Party, sought to spread communism and establish a socialist world order. On the other hand, the United States, led by democratic principles, aimed to contain communism and promote capitalism. The conflict between these two nations shaped international relations for several decades.
18.
Who is the current Emperor of Japan?
Correct Answer
D. Naruhito
Explanation
Naruhito is the correct answer because he became the current Emperor of Japan after his father, Akihito, abdicated the throne in 2019. Hirohito was the Emperor of Japan from 1926 to 1989, and Fumihito is Naruhito's younger brother and the current Crown Prince of Japan. Naruhito ascended the throne on May 1, 2019, following his father's abdication, making him the 126th Emperor of Japan.
19.
Which country below is not a permanent member of the UN Security Council?
Correct Answer
B. Japan
Explanation
Japan is not a permanent member of the UN Security Council. The permanent members of the Security Council are China, Russia, France, the UK, and the US. These countries were granted permanent membership due to their status as major powers at the time of the United Nations' formation. Japan is not a permanent member, although it is a significant contributor to the UN and has been a non-permanent member multiple times.
20.
Which one below is not an email platform?
Correct Answer
D. Facebook
Explanation
Facebook is not an email platform. While Outlook, Gmail, and Yahoo are all popular email platforms that allow users to send and receive emails, Facebook is primarily a social media platform that does not offer the same email functionality.
21.
Established in 2009 by two former employees of Yahoo, in 2014 this platform was sold to Facebook. Which platform is this?
Correct Answer
C. WhatsApp
Explanation
WhatsApp is the correct answer because it was established in 2009 by two former employees of Yahoo and was later sold to Facebook in 2014.
22.
Which countries below have banned Facebook?
Correct Answer(s)
A. China
C. Bangladesh
D. North Korea
Explanation
China, Bangladesh, and North Korea have banned Facebook. China has blocked access to Facebook since 2009 as part of its strict internet censorship policies. Bangladesh temporarily banned Facebook in 2010 and 2013 due to concerns over the spread of anti-Islamic content. North Korea, known for its isolationist policies, does not allow its citizens to access the internet freely, including Facebook.
23.
The platform that allows owning money from sharing a part of your house to the guests who book it online?
Correct Answer
C. Airbnb
Explanation
Airbnb is the correct answer because it is a platform that allows homeowners to earn money by sharing a part of their house with guests who book it online. It provides a platform for homeowners to list their properties and for travelers to find and book accommodations. This concept of sharing economy has gained popularity in recent years, and Airbnb has become a well-known platform in this industry.
24.
The solid is made up of 3-cm cubes. What is the volume of the solid?
Correct Answer
C. 270 cm3
Explanation
The volume of a solid can be calculated by multiplying the length, width, and height of the solid. In this case, since the solid is made up of 3-cm cubes, the length, width, and height of the solid would each be 3 cm. Therefore, the volume of the solid would be 3 cm x 3 cm x 3 cm = 27 cm3.
25.
Betty, Carol, and Daisy shared $400. Carol had $60 more than Betty. Daisy had 1/3 of what Betty and Carol had altogether.
How much did Betty have?
Correct Answer
D. $120
Explanation
Carol had $60 more than Betty and Daisy had 1/3 of what Betty and Carol had altogether. This means that if Betty had x dollars, Carol had x + $60 dollars, and Daisy had 1/3 * (x + (x + $60)) dollars. We know that the total amount they shared was $400. So, we can set up the equation x + (x + $60) + 1/3 * (x + (x + $60)) = $400. Simplifying this equation gives us 7x/3 + $80 = $400. Solving for x gives us x = $120. Therefore, Betty had $120.
26.
Which is the hosting country of FIFA World Cup 2018?
Correct Answer
B. Russia
Explanation
The hosting country of the FIFA World Cup 2018 was Russia.
27.
How many Nobel prizes are awarded each year?
Correct Answer
B. 6
Explanation
Each year, a total of six Nobel prizes are awarded. These prizes are given in the fields of Physics, Chemistry, Physiology or Medicine, Literature, Peace, and Economic Sciences. The Nobel prizes are highly prestigious and are awarded to individuals or organizations that have made significant contributions in these respective fields.
28.
How many months have 31 days in a year?
Correct Answer
C. 7
Explanation
There are 7 months in a year that have 31 days. These months are January, March, May, July, August, October, and December. The other months have either 30 or 28/29 days.
29.
A famous song released in 1980 by Abba
Correct Answer
A. Happy new year
Explanation
"Happy New Year" is the correct answer because it is a famous song released in 1980 by Abba. The other options listed are also popular songs by Abba, but "Happy New Year" specifically fits the given criteria of being released in 1980.