Maths Practice Question and Answer
8 Q: A and B can do a work together in 18 days. A is three times as efficient as B. In how many days can B alone complete the work?
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64ccdf41a919c8488e301a5c- 160 daysfalse
- 272 daystrue
- 354 daysfalse
- 464 daysfalse
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Answer : 2. "72 days"
Explanation :
Let's denote the work rate of A as "A" and the work rate of B as "B." We know that A is three times as efficient as B, so we can write:
A = 3B
Now, we also know that A and B can do a work together in 18 days. The work rate of A and B combined is the sum of their individual work rates, which can be represented as:
A + B
Since they complete the work in 18 days together, we can write:
(A + B) = 1/18
Now, we want to find how long it would take B alone to complete the work. Let's denote that time as "x" days. The work rate of B alone would be:
B (work rate of B alone) = 1/x
Now, we have two equations:
A = 3B
(A + B) = 1/18
We can substitute the value of A from the first equation into the second equation:
(3B + B) = 1/18
Combine like terms:
4B = 1/18
Now, isolate B by dividing both sides by 4:
B = (1/18) / 4
B = 1/72
So, B's work rate is 1/72 of the work per day. To find how many days B alone can complete the work, take the reciprocal of B's work rate:
x (number of days for B alone) = 1 / (1/72)
x = 72
Therefore, it would take B alone 72 days to complete the work.
Q: There is 80% increase in amount in 5 years at simple interest. What will be the compound interest of Rs. 20,000 after 3 years at the same rate?
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5f2cfad5be9f31290fb86158- 1Rs.1000false
- 2Rs.11217.92true
- 3Rs.11717.20false
- 4Rs.13217.92false
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Answer : 2. "Rs.11217.92"
Q:Directions: Study the following data and answer the questions.
The score of students of a class are given as follows :
The number of students whose IQ score is 100 and more is
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639322929dda13791d75358f- 129false
- 235true
- 336false
- 446false
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Answer : 2. "35 "
Q:Comprehension: Read the following chart and answer the following questions.
What is the difference between the day that had maximum deaths to the day that had minimum deaths?
1496 05ebcc1dcd33dc17bd494cfbe
5ebcc1dcd33dc17bd494cfbe- 1104false
- 286false
- 394false
- 496true
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Answer : 4. "96"
Q:Direction: Study the following information and answer the related questions. P, Q, R, S, T, A, B, C, D and E are employees of a company. A table shows the average age of any two employees of the company. The average age of A and B is 27.5.
i.e. average age of A & P is given as (A+P)/2=39.5
What will be the average of sum of ages of A, B, C, D and E together after five years?
1496 06062bc9d8278fd441925fe2a
6062bc9d8278fd441925fe2ai.e. average age of A & P is given as (A+P)/2=39.5
- 142.6true
- 245.5false
- 339.8false
- 440false
- 5None of thesefalse
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Answer : 1. "42.6 "
Q: If (x + k ) is the common factor of x2 + ax + b and x2 + cx + d , then what is k equal to ?
1496 060112f43178b94051cea1156
60112f43178b94051cea1156- 1$$ {(d-b)\over {(c-a)}}$$true
- 2$$ {(d-b)\over {(a-c)}}$$false
- 3$$ {(d+b)\over {(c+a)}}$$false
- 4$$ {(d-b)\over {(c+a)}}$$false
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Answer : 1. "$$ {(d-b)\over {(c-a)}}$$"
Q: If the length of the diagonal AC of a square ABCD is 5.2 cm, then the area of the square is:
1496 05ed9d590e11a1c4b43e6861c
5ed9d590e11a1c4b43e6861c- 115.12 sq. cmfalse
- 213.52 sq. cmtrue
- 312.62 sq. cmfalse
- 410.00 sq. cmfalse
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Answer : 2. "13.52 sq. cm "
Q: The greatest fraction out of $$ {2\over 5},{5\over 6},{11\over 12},and \ {7\over8}$$ is
1496 0600550c47a0c6e1017db9085
600550c47a0c6e1017db9085- 1$$ {11\over 12}$$true
- 2$$ {2\over 5}$$false
- 3$$ {7\over 8}$$false
- 4$$ {5\over 6}$$false
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