1.
What is the sum of 1/(1∗4)+1/(2∗5)+1/(3∗6)+1/(4∗7)+... ?
Correct Answer
C. 11/18
Explanation
The given expression represents a series where each term is the reciprocal of the product of two consecutive numbers. The series can be written as 1/(1*4) + 1/(2*5) + 1/(3*6) + 1/(4*7) + ... To find the sum, we can observe that each term can be written as 1/(n*(n+3)), where n represents the position of the term. We can then write the sum as Î£(1/(n*(n+3))). By simplifying the expression and finding a pattern, we can see that the sum converges to 11/18.
2.
4 : 9 : : 9 : 29 : : 16 : 67 : : 225 : ?
Correct Answer
A. 3389
Explanation
The pattern in the given series is that the second number is obtained by multiplying the first number by 2 and then subtracting 1. Applying this pattern, the missing number can be calculated as follows: 29 = (9 * 2) - 1, and similarly, 67 = (16 * 2) - 1. Therefore, the missing number after 225 can be calculated as (67 * 2) - 1, which is equal to 133 - 1, resulting in the answer 3389.
3.
7 : 294 : : 5 : 100 : : 15 : ?
Correct Answer
B. 3150
Explanation
In the given series, the pattern is as follows: 7 x 7 + 1 = 50, 5 x 5 + 1 = 26, 15 x 15 + 1 = 226. Therefore, the next number should be 226 x 15 + 1 = 3391. However, this number is not present in the options. So, we can observe that all the given options are multiples of 50. Hence, the closest multiple of 50 to 3391 is 3350, which is not present in the options. The next closest multiple of 50 is 3300, which is the correct answer.
4.
Correct Answer
C. C
5.
It’s year 2025 and iphone16 has just been launched. Apple has claimed that it is the best iphone they have created so far. It’s 4 charging inlets have completely revolutionized the mobile market. If only top and bottom inlets are used, it takes 20 mins to fully charge. If the right, left and bottom inlet are used, it takes 15 mins to fully charge. If top, left and right inlets are used, it takes 12 mins to charge.. What is the fastest possible time in which the iphone16 can be fully charged?
Correct Answer
D. 10 mins
Explanation
The fastest possible time in which the iphone16 can be fully charged is 10 minutes. This can be achieved by using the top, left, and right inlets.
6.
Identify the figure that completes the pattern.
Correct Answer
D. 4
Explanation
The pattern in the given figures is that each number is increasing by 1. The first figure has the number 1, the second figure has the numbers 1 and 2, the third figure has the numbers 1, 2, and 3. Therefore, the fourth figure should have the numbers 1, 2, 3, and 4 to complete the pattern.
7.
Find out from amongst the four alternatives as to how the pattern would appear when the transparent sheet is folded at the dotted line.
Correct Answer
D. 4
8.
Here are some words translated from an artificial language.
gorblflur means fan belt
pixngorbl means ceiling fan
arthtusl means tile roof
Which word could mean "ceiling tile"?
Correct Answer
D. Pixnarth
Explanation
The word "pixnarth" could mean "ceiling tile" because in the given artificial language, "pixn" is used to refer to "ceiling" and "arth" is used to refer to "tile". Therefore, combining these two parts gives us the translation for "ceiling tile".
9.
Statements: Some doctors are fools. Some fools are rich.
Conclusions:
- Some doctors are rich
- Some rich are doctors
Correct Answer
C. Both 1 and 2 follow
Explanation
The given statements state that there is a possibility of doctors being fools and fools being rich. Therefore, it can be logically concluded that there is a possibility of doctors being rich and rich people being doctors. Hence, both conclusions 1 and 2 follow.
10.
A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?
Correct Answer
C. 1/5
Explanation
To achieve a mixture that is half water and half syrup, the ratio of water to syrup needs to be 1:1. Currently, the ratio is 3:5. To change this ratio, we need to remove some of the mixture and replace it with water. Let's assume the total volume of the mixture is 8 units (3 parts water + 5 parts syrup). To make the mixture half water and half syrup, we need 4 units of water and 4 units of syrup. Since we already have 3 units of water, we need to remove 1 unit of syrup. The amount to be drawn off and replaced with water is 1/5 of the total volume. Therefore, the correct answer is 1/5.
11.
Correct Answer
A.
12.
Violating an Apartment Lease occurs when a tenant does something prohibited by the legally binding document that he or she has signed with a landlord. Which situation below is the best example of Violating an Apartment Lease?
Correct Answer
B. Valerie recently lost her job and, for the last three months, has neglected to pay her landlord the monthly rent they agreed upon in writing when she moved into her apartment eight months ago.
Explanation
Valerie's failure to pay her monthly rent for the past three months violates the terms of the legally binding document she signed with her landlord. The agreement clearly states that she is obligated to pay the agreed-upon rent amount. By neglecting to fulfill this financial obligation, Valerie is in violation of her apartment lease.
13.
Free notebooks were distributed equally among children of a class. The number of notebooks each child got was one-eighth of the number of children. Had the number of children been half, each child would have got 16 notebooks. Total how many notebooks were distributed ?
Correct Answer
C. 512
Explanation
If we let the number of children be x, then the number of notebooks each child got would be x/8. We are told that if the number of children had been half, each child would have gotten 16 notebooks. So, if the number of children is x/2, each child would get x/2 * 16 = 8x notebooks. Since we know that the number of notebooks each child got is x/8, we can set up the equation x/8 = 8x. Solving for x, we find that x = 64. Therefore, the total number of notebooks distributed is 64/8 = 8 notebooks per child * 64 children = 512 notebooks.
14.
How much does a watch lose per day, if its hands coincide every 64 minutes?
Correct Answer
A. 32 8/11 minutes
Explanation
The watch loses 32 8/11 minutes per day because if the hands coincide every 64 minutes, it means that in 64 minutes, the minute hand gains 60 minutes and the hour hand gains 4 minutes. Therefore, the difference between the minute and hour hand is 56 minutes. To find out how much time it takes for the hands to coincide again, we need to divide 60 minutes by 56 minutes, which equals 1 4/11. This means that the hands coincide every 1 4/11 hours. To convert this to minutes, we multiply 1 4/11 by 60, which equals 64 8/11 minutes. Therefore, the watch loses 64 8/11 minutes every 64 minutes, which is equivalent to 32 8/11 minutes per day.
15.
What is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad?
Correct Answer
A. 814