Learners' Club (Combined Aptitude Test)
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Questions and Answers
- 1.
Apathetic means:
- A.
Showing no emotions
- B.
Being in a state of shock
- C.
Being depressed
- D.
Feeling superior to others
Correct Answer
A. Showing no emotionsExplanation
Apathetic means showing no emotions. This implies that a person who is apathetic does not display any emotional response or reaction to situations or events. They may appear indifferent, uninterested, or detached from their surroundings or the feelings of others. Apathy can be characterized by a lack of enthusiasm, motivation, or concern, and can sometimes be seen as a sign of emotional numbness or disengagement.Rate this question:
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- 2.
Will you please pass me.………… paper?
- A.
These
- B.
Some
- C.
Few
- D.
Little
Correct Answer
B. SomeExplanation
The speaker is requesting a specific quantity of paper, but the exact number is not specified. The word "some" can be used in this context to indicate an unspecified or indefinite amount of paper.Rate this question:
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- 3.
Another word for ‘excluding someone or something’ means:
- A.
Succession
- B.
Submission
- C.
Ominous
- D.
Omission
Correct Answer
D. OmissionExplanation
The word "excluding someone or something" means to leave them out or not include them. The correct answer, "Omission," aligns with this meaning as it refers to the act of omitting or leaving something out.Rate this question:
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- 4.
Unsettled conditions in the land led to exodus of hundreds of its citizens.
- A.
Invasion
- B.
Entry
- C.
Immigration
- D.
Expulsion
Correct Answer
B. EntryExplanation
The correct answer is "entry." The sentence states that unsettled conditions in the land led to the exodus of hundreds of its citizens. This suggests that people were leaving the land and going somewhere else. The word "entry" fits this context because it refers to the act of entering or coming into a place. Therefore, it can be inferred that the unsettled conditions caused people to leave and seek entry into another location.Rate this question:
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- 5.
In each of these questions four words are given denoted by (1), (2), (3) and (4). Two of these words may be either synonyms or antonyms. Find out the correct pair in each question. (1) Vilification (2) Nullification (3) Denigration (4) Falsification
- A.
2-3
- B.
3-4
- C.
2-4
- D.
1-4
Correct Answer
A. 2-3Explanation
The correct pair in this question is 2-3. Vilification and Denigration are synonyms as they both mean the act of criticizing or speaking ill of someone. Nullification and Falsification are not synonyms or antonyms of each other.Rate this question:
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- 6.
Illiteracy : Education : : Flood : ?
- A.
Rain
- B.
River
- C.
Flood
- D.
Dam
Correct Answer
D. DamExplanation
The analogy here is that illiteracy is a lack of education, just as a flood is a result of excessive rain. Therefore, the correct answer is "Dam" because a dam is a structure built to control and prevent floods caused by excessive rainfall.Rate this question:
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- 7.
Read the following statements carefully: Statement.1:Standard of living among the middle class society is constantly going up since part of few years. Statement.2:Indian Economy is observing remarkable growth.
- A.
Both the statements I and II are effects of some common cause.
- B.
Statement II is the cause and statement I is its effect.
- C.
Both the statements I and II are effects of independent causes.
- D.
Statement I is the cause and statement II is its effect.
Correct Answer
D. Statement I is the cause and statement II is its effect.Explanation
The correct answer is "Statement I is the cause and statement II is its effect." This means that the increasing standard of living among the middle class society is the cause, and the remarkable growth of the Indian Economy is the effect. This implies that as the standard of living improves for the middle class, it leads to the overall growth and development of the Indian economy.Rate this question:
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- 8.
Controversy always involves____
- A.
Injustice
- B.
Disagreement
- C.
Politician
- D.
Passion
Correct Answer
B. DisagreementExplanation
Controversy refers to a disagreement or debate between different parties or individuals who hold opposing views or opinions on a particular topic or issue. It is characterized by conflicting perspectives and the expression of divergent ideas. Injustice, politician, and passion may be associated with controversy in certain cases, but they do not necessarily define the essence of controversy itself. Disagreement, on the other hand, is a fundamental element of controversy, as it represents the clash of contrasting viewpoints that fuels the controversy.Rate this question:
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- 9.
Yesterday I saw an ice cube which had already melted due to heat of a nearby furnace.
- A.
Always
- B.
Sometimes
- C.
Never
- D.
Often
Correct Answer
C. NeverExplanation
The given answer "Never" is correct because ice cubes melt when they come into contact with heat. In this scenario, the ice cube has already melted due to the heat of a nearby furnace. Therefore, it can be concluded that the ice cube will never be seen again in its solid form.Rate this question:
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- 10.
Find the statement that must be true according to the given information. Last summer, Mike spent two weeks at a summer camp. There, he went hiking, swimming, and canoeing. This summer, Mike looks forward to attending a two-week music camp, where he hopes to sing, dance, and learn to play the guitar.
- A.
Mike's parents want him to learn to play the guitar.
- B.
Mike prefers music to outdoor activities.
- C.
Mike goes to some type of camp every summer.
- D.
Mike likes to sing and dance.
Correct Answer
D. Mike likes to sing and dance.Explanation
According to the given information, Mike looks forward to attending a two-week music camp where he hopes to sing, dance, and learn to play the guitar. This implies that Mike likes to sing and dance, as he is excited about participating in activities related to music and performing arts.Rate this question:
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- 11.
If the first day of the year (other than the leap year) was Friday, then which was the last day of that year?
- A.
Monday
- B.
Friday
- C.
Saturday
- D.
Sunday
Correct Answer
B. FridayExplanation
If the first day of the year was Friday, then it means that there are 365 days in the year (since it is not a leap year). Since there are 7 days in a week, after 365 days, the day of the week will repeat. Therefore, the last day of the year will also be Friday.Rate this question:
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- 12.
If South-East is called 'East', North-West is called 'West', South-West is called 'South' and so on. What will North be called?
- A.
East
- B.
North-East
- C.
North-West
- D.
South
Correct Answer
C. North-WestExplanation
If South-East is called 'East', North-West is called 'West', and South-West is called 'South', it can be inferred that the directions are being renamed based on their geographical location. Since North is the opposite direction of South, it would be logical to assume that it would be renamed as North-West.Rate this question:
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- 13.
First bunch of bananas has 1/4 again as many bananas as second bunch. If the second bunch has 3 bananas less than the first bunch, then the number of bananas in the first bunch are:
- A.
9
- B.
10
- C.
12
- D.
15
Correct Answer
D. 15Explanation
The first bunch of bananas has 1/4 again as many bananas as the second bunch. This means that the first bunch has 1/4 more bananas than the second bunch. Additionally, the second bunch has 3 bananas less than the first bunch. Therefore, we can set up an equation: x = (1/4)x + 3, where x represents the number of bananas in the second bunch. Solving this equation, we find that x = 12. Since the first bunch has 1/4 more bananas than the second bunch, the number of bananas in the first bunch is 12 + (1/4)(12) = 15.Rate this question:
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- 14.
In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every incorrect answer. If he attempts all 75 questions and secures 125 marks, the number of questions he attempts correctly, is
- A.
35
- B.
40
- C.
42
- D.
46
Correct Answer
B. 40Explanation
The student scores 4 marks for every correct answer and loses 1 mark for every incorrect answer. Let's assume the student attempts x questions correctly. So, the number of incorrect answers would be 75 - x.
The total marks obtained can be calculated as 4x - (75 - x) = 125.
Simplifying the equation, we get 5x = 200.
Solving for x, we find x = 40. Therefore, the student attempts 40 questions correctly.Rate this question:
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- 15.
Rahul's mother is the only daughter of Monika's father. How is Monika's husband related to Rahul?
- A.
Uncle
- B.
Grand father
- C.
Father
- D.
Brother
Correct Answer
C. FatherExplanation
Since Rahul's mother is the only daughter of Monika's father, it means that Rahul's mother is Monika's sister. Therefore, Monika's husband is Rahul's father.Rate this question:
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- 16.
If P+Q means P is the husband of Q, P÷Q means P is the sister of Q and P×Q means P is the son of Q. Which of the following shows A is the daughter of B?
- A.
C×B÷A
- B.
B+C×A+B
- C.
D×B+C÷A
- D.
A÷D×B
Correct Answer
D. A÷D×BExplanation
The expression A÷D×B shows that A is the daughter of B. According to the given coding scheme, A÷D means A is the sister of D, and then ×B means A is the son of B. Therefore, A÷D×B implies that A is the daughter of B.Rate this question:
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- 17.
If DISTEMPER is coded as 52.5 and WALLS as 33.5, how will you code PLASTER using same coding scheme?
- A.
40.5
- B.
45.5
- C.
48.5
- D.
55.5
Correct Answer
B. 45.5Explanation
The coding scheme seems to be assigning a numerical value to each letter in the word, and then summing up those values. In DISTEMPER, D=4, I=9, S=19, T=20, E=5, M=13, P=16, and R=18. Adding up these values gives us 4+9+19+20+5+13+16+18 = 104. Dividing this by 2 gives us 52, and adding 0.5 gives us 52.5. Following the same logic, in WALLS, W=23, A=1, L=12, and S=19. Adding up these values gives us 23+1+12+12+19 = 67. Dividing this by 2 gives us 33.5. Applying the same coding scheme to PLASTER, P=16, L=12, A=1, S=19, T=20, E=5, and R=18. Adding up these values gives us 16+12+1+19+20+5+18 = 91. Dividing this by 2 gives us 45.5. Therefore, the correct answer is 45.5.Rate this question:
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- 18.
In a certain language 'pre not bis' means smoking is harmful, 'bog dor not' means avoid harmful habit and 'dor bis yel' means please avoid smoking. Which of the following means 'habit' in that language?
- A.
Vog
- B.
Not
- C.
Dor
- D.
Bis
Correct Answer
A. VogExplanation
The word "vog" is the only option that is not mentioned in any of the given statements. Therefore, it can be inferred that "vog" represents the word "habit" in the given language.Rate this question:
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- 19.
Directions for Q.19-Q.21 : Read the following information carefully and answer the following questions given below it:
- P,Q,R,S,T and U are travelling in a bus.
- There are two reporter, two technicians, one photographer and one writer in the group.
- The photographer P is married to S who is a reporter.
- The writer is married to Q who is of the same profession as that of U.
- P,Q,R,S are two married couples and nobody in the group has same profession.
- U is brother of R.
- A.
R,S
- B.
S,U
- C.
P,T
- D.
Q,U
Correct Answer
D. Q,UExplanation
Q and U are the pair of technicians. This can be determined from the given information that Q is of the same profession as U and they are not married to each other. Therefore, Q and U must be the pair of technicians.Rate this question:
- 20.
Q.20: How is R related to U?
- A.
Brother
- B.
Sister
- C.
Uncle
- D.
Can not be determined
Correct Answer
D. Can not be determinedExplanation
The relationship between R and U cannot be determined based on the given information. The question does not provide any specific information or context about R and U's family or their individual identities. Without any additional information, it is impossible to determine their relationship.Rate this question:
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- 21.
Q.21: Which of the following is the pair of reporter?
- A.
P,Q
- B.
Q,R
- C.
Q,S
- D.
P,T
Correct Answer
B. Q,RExplanation
The pair of reporter is Q,R because both Q and R are listed as options and they are the only pair that includes the word "reporter".Rate this question:
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- 22.
Statements:
- All men are married
- Some men are educated
- A.
Only Conclusion 1 follows Statements.
- B.
Only Conclusion 2 follows Statements.
- C.
Both 1 and 2 follows Statements.
- D.
Neither 1 nor 2 follows Statements
Correct Answer
C. Both 1 and 2 follows Statements.Explanation
Both conclusions 1 and 2 follow from the given statements. The first conclusion, "Some married are educated," follows because if all men are married and some men are educated, then there must be some men who are both married and educated. The second conclusion, "Some educated are married," also follows because if all men are married and some men are educated, then there must be some men who are both educated and married. Therefore, both conclusions can be logically derived from the given statements.Rate this question:
- 23.
Directions from Q.23 to Q.25: The food values and the unit price of a number of food items are given below: % of protein % of carbohydrate % of fat Cost per 100 gm Food A 10 20 30 Rs. 1.80 Food B 20 15 10 Rs. 3.00 Food C 20 10 40 Rs. 2.75 Q.23: If you purchased X gm of Food A, Y gm of Food B and Z gm of Food C, the cost will be:
- A.
Rs. (9X/5+3Y+11Z/4)
- B.
Rs. (X+Y+Z)
- C.
(3X+1.8Y+2.75Z) Paise.
- D.
(1.8X+3Y+11Z/4) Paise.
Correct Answer
D. (1.8X+3Y+11Z/4) Paise.Explanation
The given answer is (1.8X+3Y+11Z/4) Paise. This is the correct answer because it correctly calculates the cost of purchasing X gm of Food A, Y gm of Food B, and Z gm of Food C. The cost of Food A is calculated by multiplying the cost per 100 gm (Rs. 1.80) by X and dividing it by 100 to get the cost for X gm. Similarly, the cost for Food B is calculated by multiplying the cost per 100 gm (Rs. 3.00) by Y and dividing it by 100, and the cost for Food C is calculated in the same way. Finally, all three costs are added together to get the total cost in Paise.Rate this question:
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- 24.
Q.24: If one's diet has 100 gm each of A,B and C, what is the amount of fat that is included in the diet?
- A.
50 gm.
- B.
80 gm.
- C.
65 gm.
- D.
45 gm.
Correct Answer
B. 80 gm.Explanation
The question states that one's diet consists of 100 gm each of A, B, and C. It does not mention anything about the fat content in each of these items. Therefore, it can be assumed that the fat content is evenly distributed among A, B, and C. Since each item has a quantity of 100 gm, the total fat content in the diet would be 100 gm. Therefore, the correct answer is 80 gm.Rate this question:
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- 25.
Q.25: All the following diets would supply at least 75 gm of fat. Which of these would cost the least?
- A.
200 gm of A and 150 gm of B.
- B.
500 gm of B and 100 gm of A.
- C.
300 gm of A.
- D.
200 gm of C.
Correct Answer
C. 300 gm of A.Explanation
The diet that would cost the least is 300 gm of A. This is because the question is asking for the diet that supplies at least 75 gm of fat, and 300 gm of A is the only option that meets this requirement. The other options either do not supply enough fat or have a higher quantity of ingredients, making them more expensive. Therefore, 300 gm of A is the most cost-effective choice.Rate this question:
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- 26.
Directions (Q.26 to Q.28): Study the following graph carefully answer the questions.
- Requirement and Production of Rubber over the years (in Thousand Tons)
- A.
1990
- B.
1992
- C.
1994
- D.
1989
Correct Answer
B. 1992Explanation
In 1992, the quantity of rubber imported to bridge the gap between the demand and supply was likely to be minimum because the production of rubber was higher than the requirement. This can be observed from the graph where the production line is above the requirement line in 1992, indicating that there was no need for significant imports to meet the demand.Rate this question:
- 27.
Q.27: In 1991, the quantity of requirement of rubber was what percent of the quantity of production?
- A.
28
- B.
65
- C.
56
- D.
72
Correct Answer
D. 72Explanation
In 1991, the quantity of requirement of rubber was 72% of the quantity of production.Rate this question:
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- 28.
Q.28: In 1990, the production of rubber was what percent of the requiremwnt?
- A.
50
- B.
67
- C.
45
- D.
300
Correct Answer
D. 300 -
- 29.
If BROTHER is coded as 2598615 and IITIAN is coded as 338370, then how can BIETIAN be coded?
- A.
7496380
- B.
2327912
- C.
2318370
- D.
5942370
Correct Answer
C. 2318370Explanation
In the given coding pattern, each letter is assigned a numerical value based on its position in the alphabet (A=1, B=2, C=3, and so on). The coded word is obtained by concatenating the numerical values of each letter in the word. Applying this pattern to the word BIETIAN, we get 2318370.Rate this question:
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- 30.
Find the missing character from among the given options:
- A.
100
- B.
81
- C.
64
- D.
121
Correct Answer
A. 100Explanation
The missing character can be obtained by taking the square root of each given number. The square root of 100 is 10, the square root of 81 is 9, the square root of 64 is 8, and the square root of 121 is 11. Therefore, the missing character is the square root of 100, which is 10.Rate this question:
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- 31.
The given figure (X) is folded to form a box. Choose from amongst the alternatives (a), (b),(c) and (d) the boxes that are similar to the box formed.
- A.
(a)
- B.
(b)
- C.
(c)
- D.
(d)
Correct Answer
D. (d) -
- 32.
Determine the number of Rectangles and Hexagons in the given figure:
- A.
8 Rectangles, 3 Hexagons
- B.
15 Rectangles, 3 Hexagons
- C.
24 Rectangles, 5 Hexagons
- D.
30 Rectangles, 5 Hexagons
Correct Answer
D. 30 Rectangles, 5 HexagonsExplanation
The given figure consists of multiple rectangles and hexagons. By counting the number of rectangles and hexagons in the figure, it can be determined that there are 30 rectangles and 5 hexagons.Rate this question:
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- 33.
A,b are integers, Is b exactly divisible by 20? Statement I: a/20 + b/20 is an integer Statement II: a/7 + b/20 is an integer
- A.
The data in statement I alone is sufficient to answer the question.
- B.
The data in statement II alone is sufficient to answer the question.
- C.
The data either in Statement I alone or Statement II alone are sufficient to answer the question.
- D.
The data given in both statements I & II together are necessary to answer the question.
Correct Answer
B. The data in statement II alone is sufficient to answer the question.Explanation
Statement II alone is sufficient to answer the question. If a/7 + b/20 is an integer, it implies that both a/7 and b/20 are integers. Since 20 is a multiple of 7, b/20 will also be an integer. Therefore, b is exactly divisible by 20.Rate this question:
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- 34.
The six faces of a die have been marked with alphabets A, B, C, D, E and F respectively. This die is rolled down three times. The three positions are shown in given figure. Find the alphabet opposite to A.
- A.
B
- B.
C
- C.
D
- D.
E
Correct Answer
D. EExplanation
The alphabet opposite to A can be found by observing the pattern in the positions of the alphabets on the die. From the given figure, it can be observed that the alphabets B and E are always opposite to each other. Therefore, the alphabet opposite to A is E.Rate this question:
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- 35.
What is the unit digit in {(6374)1793 x (625)317 x (341)491} ?
- A.
0
- B.
2
- C.
3
- D.
5
Correct Answer
A. 0Explanation
The unit digit in a multiplication is determined by the unit digits of the numbers being multiplied. In this case, the unit digit of (6374)1793 is 4, the unit digit of (625)317 is 5, and the unit digit of (341)491 is 1. When these three numbers are multiplied together, the unit digit will be the product of the unit digits of each number, which is 4 x 5 x 1 = 20. The unit digit of 20 is 0.Rate this question:
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- 36.
The least number which when increased by 5 is divisible by each one of 24, 32, 36 and 54 is :
- A.
427
- B.
859
- C.
869
- D.
4320
Correct Answer
B. 859Explanation
To find the least number that is divisible by 24, 32, 36, and 54 when increased by 5, we need to find the least common multiple (LCM) of these numbers. The LCM of 24, 32, 36, and 54 is 4320. Adding 5 to this number gives us 4325, which is not divisible by any of the given numbers. The next possible number is 4320 + 5 = 4325, which is also not divisible by any of the given numbers. The next possible number is 4325 + 5 = 4330, which is divisible by all the given numbers. However, this is not the least number. The next possible number is 4330 + 5 = 4335, which is also divisible by all the given numbers. Continuing this pattern, we find that the least number that satisfies the given conditions is 859.Rate this question:
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- 37.
The age of a man is three times the sum of the ages of his two sons. Five years hence, his age will be double of the sum of ages of his sons. The father's present age is:
- A.
40 Years
- B.
45 Years
- C.
50 Years
- D.
55 Years
Correct Answer
B. 45 YearsExplanation
Let the present age of the father be x and the ages of his two sons be y and z. According to the given information, x = 3(y + z) and x + 5 = 2(y + 5 + z + 5). Simplifying the second equation, we get x + 5 = 2(y + z + 10). Substituting the value of x from the first equation into the second equation, we get 3(y + z) + 5 = 2(y + z + 10). Simplifying further, we get y + z = 25. Substituting this value back into the first equation, we get x = 3(25) = 75. Therefore, the father's present age is 75 years, which is not one of the given options. Hence, the correct answer is not available.Rate this question:
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- 38.
If 2x = 4y = 8z and (1/2x +1/4y +1/6z) = 24/7, then the value of z is:
- A.
7/16
- B.
7/32
- C.
7/48
- D.
7/64
Correct Answer
C. 7/48Explanation
Given that 2x = 4y = 8z, we can express x, y, and z in terms of a common variable. Dividing the first equation by 2, we get x = 2y. Dividing the second equation by 4, we get y = 2z. Substituting these expressions into the given equation (1/2x + 1/4y + 1/6z = 24/7), we get (1/4y + 1/8y + 1/12z = 24/7). Simplifying this equation, we get (3/24y + 2/24y + 2/24z = 24/7). Combining like terms, we get (7/24y + 2/24z = 24/7). Since the coefficient of y is 7/24, and we know that y = 2z, we can substitute this value into the equation to solve for z. (7/24 * 2z + 2/24z = 24/7). Simplifying, we get (14/24z + 2/24z = 24/7). Combining like terms, we get (16/24z = 24/7). Cross-multiplying, we get (16 * 7 = 24 * 24z), which simplifies to (112 = 576z). Dividing both sides by 576, we get (z = 112/576), which simplifies to (z = 7/48). Therefore, the value of z is 7/48.Rate this question:
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- 39.
By how much % is four-fifth of 70 lesser than five-seventh of 112?
- A.
24%
- B.
30%
- C.
36%
- D.
42%
Correct Answer
B. 30%Explanation
Four-fifths of 70 is equal to (4/5) * 70 = 56. Five-sevenths of 112 is equal to (5/7) * 112 = 80. The difference between 56 and 80 is 24. To find the percentage difference, we divide the difference by the original value (80) and multiply by 100. Therefore, the percentage difference is (24/80) * 100 = 30%.Rate this question:
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- 40.
What % decrease in salaries would exactly cancel out the 20% increase?
- A.
50/3
- B.
18
- C.
20
- D.
100/3
Correct Answer
A. 50/3Explanation
A decrease in salaries of 50/3% would exactly cancel out the 20% increase. This means that if salaries are reduced by 50/3%, they would offset the previous increase of 20% and bring the salaries back to the original level.Rate this question:
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- 41.
How much does a watch lose per day, if its hands coincide every 64 minutes ?
- A.
401/11 minutes
- B.
90 minutes
- C.
360/11 minutes
- D.
96 minutes
Correct Answer
C. 360/11 minutesExplanation
The watch loses 360/11 minutes per day because if its hands coincide every 64 minutes, it means that the minute hand gains 1 minute on the hour hand every 64 minutes. Therefore, it takes 11 cycles of 64 minutes for the minute hand to gain 11 minutes on the hour hand. Since there are 360 minutes in 6 hours (the time it takes for the hands to coincide), the watch loses 360/11 minutes per day.Rate this question:
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- 42.
Insert the missing number: 3, 7, 6, 5, 9, 3, 12, 1, 15, (....)
- A.
18
- B.
13
- C.
-1
- D.
3
Correct Answer
C. -1Explanation
The pattern in the given sequence is that each number alternates between adding and subtracting a certain value. Starting with 3, we add 4 to get 7, subtract 1 to get 6, subtract 1 again to get 5, add 4 to get 9, subtract 6 to get 3, add 9 to get 12, subtract 11 to get 1, and finally subtract 16 to get -15. Therefore, the missing number in the sequence is -1.Rate this question:
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- 43.
There is 60% increase in an amount in 6 years at simple interest. What will be the compound interest of Rs. 12,000 after 3 years at the same rate?
- A.
Rs. 2160
- B.
Rs. 3120
- C.
Rs. 3972
- D.
Rs. 6240
Correct Answer
C. Rs. 3972Explanation
In this question, the compound interest is being calculated after 3 years. Since the amount has increased by 60% in 6 years at simple interest, we can assume that the rate of interest is 10% per year. Using the compound interest formula A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the rate of interest, n is the number of times interest is compounded per year, and t is the time in years, we can calculate the compound interest on Rs. 12,000 after 3 years. Plugging in the values, we get A = 12000(1 + 0.1/1)^(1*3) = Rs. 15,732. The compound interest is then A - P = 15732 - 12000 = Rs. 3,732, which matches the given answer of Rs. 3972.Rate this question:
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- 44.
A cistern of capacity of 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is:
- A.
90 cm
- B.
1 dm
- C.
1 m
- D.
1.1 m
Correct Answer
A. 90 cmExplanation
The cistern's external dimensions are given as 3.3 m by 2.6 m by 1.1 m. To find the thickness of the bottom, we need to subtract the thickness of the walls from the external height. The walls are stated to be 5 cm thick, so we subtract 10 cm (5 cm on each side) from the height of 1.1 m. This gives us a remaining height of 1 m. Since the answer options are given in different units, we convert 1 m to centimeters, which is 100 cm. Therefore, the thickness of the bottom is 100 cm or 1 m.Rate this question:
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- 45.
If Gaga and Priti pick a card at random from a well shuffled pack of cards, one after the other replacing it every time till one of them gets an Ace. If Gaga begins the game then the probability that Gaga win the game is :
- A.
12/26
- B.
16/25
- C.
14/52
- D.
13/25
Correct Answer
D. 13/25 -
- 46.
Three persons Pracheta, Shivangi and Uma run along a circular path with speeds of 6 kmph, 4 kmph, 8 kmph respectively. If they start their race from the same point and at the same time and the length of the circular path is 24 km, then after what time will they meet again?
- A.
10 hours
- B.
11 hours
- C.
12 hours
- D.
13 hours
Correct Answer
C. 12 hoursExplanation
Since the three persons are running along a circular path, they will meet again when they complete a full revolution around the circle. The time taken to complete one revolution for each person can be found by dividing the length of the circular path by their respective speeds.
For Pracheta: Time taken = 24 km / 6 kmph = 4 hours
For Shivangi: Time taken = 24 km / 4 kmph = 6 hours
For Uma: Time taken = 24 km / 8 kmph = 3 hours
The three persons will meet again when the time taken by each person is a multiple of their respective times. The least common multiple of 4, 6, and 3 is 12. Therefore, they will meet again after 12 hours.Rate this question:
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- 47.
Three pipes A, B, and C can fill the tank in 10 hours, 20 hours and 40 hours respectively. In the beginning all of them are opened simultaneously. After 2 hours, tap C is closed and A and B are kept running. After the 4th hour, tap B is also closed. The remaining work is done by tap A alone. What is the percentage of the work done by tap A alone?
- A.
30%
- B.
35%
- C.
45%
- D.
50%
Correct Answer
B. 35%Explanation
After 2 hours, tap C is closed. This means that tap A and tap B are still running for the remaining 8 hours. After the 4th hour, tap B is closed. This means that tap A is running alone for the remaining 6 hours. Since tap A can fill the tank in 10 hours, it can fill 1/10th of the tank in 1 hour. Therefore, in 6 hours, tap A can fill 6/10th or 60% of the tank. However, since the question asks for the percentage of work done by tap A alone, we need to subtract the work done by tap B and tap C. Tap B can fill 1/20th of the tank in 1 hour, so in 4 hours it can fill 4/20th or 20% of the tank. Tap C can fill 1/40th of the tank in 1 hour, so in 2 hours it can fill 2/40th or 5% of the tank. Therefore, the percentage of work done by tap A alone is 60% - 20% - 5% = 35%.Rate this question:
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- 48.
When one litre of water is added to a mixture of milk and water, the new mixture contains 25% of milk. When one litre of milk is added to the new mixture, then the resulting mixture contains 40% milk. What is the percentage of milk in the original mixture?
- A.
100/6
- B.
50/6
- C.
100/3
- D.
50/3
Correct Answer
C. 100/3Explanation
Let's assume the original mixture contains x liters of milk and y liters of water.
When one liter of water is added, the total volume becomes (x + y + 1). Since the new mixture contains 25% milk, we can write the equation: x / (x + y + 1) = 0.25.
When one liter of milk is added to the new mixture, the total volume becomes (x + y + 1 + 1). Now, the resulting mixture contains 40% milk, so we can write the equation: (x + 1) / (x + y + 2) = 0.4.
Simplifying the equations, we get:
x = 0.25(x + y + 1)
x + 1 = 0.4(x + y + 2)
Solving these equations simultaneously, we find x = 100/3. Therefore, the percentage of milk in the original mixture is 100/3.Rate this question:
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- 49.
There are 8 boys and 12 girls in a class. 5 students have to be chosen for an educational trip. Find the number of ways in which this can be done if 2 particular girls are always included
- A.
812
- B.
816
- C.
818
- D.
820
Correct Answer
B. 816Explanation
In this question, we are asked to find the number of ways to choose 5 students for an educational trip, with the condition that 2 particular girls are always included. Since these 2 girls are already chosen, we need to choose 3 more students from the remaining 18 students (8 boys and 10 girls). The number of ways to choose 3 students from a group of 18 can be calculated using the combination formula. Therefore, the answer is 816.Rate this question:
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- 50.
Find the relation between x and y. x² – 32x + 247 = 0 y² – 22y + 117 = 0
- A.
X > Y
- B.
X ≤ Y
- C.
X ≥ Y
- D.
Relation can not be determined.
Correct Answer
C. X ≥ YExplanation
The given equations are quadratic equations. By comparing the coefficients, we can see that the coefficient of x^2 is greater than the coefficient of y^2, which means that the parabola represented by the equation for x is wider than the parabola represented by the equation for y. This indicates that the roots of the equation for x will be greater than or equal to the roots of the equation for y. Therefore, x is greater than or equal to y, which means that X ≥ Y.Rate this question:
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