Maths Practice Question and Answer
8 Q: The average per day income of A, B and C is Rs. 450. If the average per day income of A and B be Rs. 400 and that of B and C be Rs. 430, the per day income of B is:
2128 05dcba2f445ad6b59c82d8685
5dcba2f445ad6b59c82d8685- 1Rs . 300false
- 2Rs . 310true
- 3Rs. 415false
- 4Rs . 425false
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Answer : 2. "Rs . 310 "
Q: From two points on the ground lying on a straight line through the foot of a pillar, the two angles of elevation of the top of the pillar are complementary to each other. If the distance of the two points from the foot of the pillar are 9 meters and 16 meters and the two points lie on the same side of the pillar. Then the height of the pillar is
2128 05dcbd69645ad6b59c82e67ac
5dcbd69645ad6b59c82e67ac- 15 mfalse
- 210 mfalse
- 39 mfalse
- 412 mtrue
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Answer : 4. "12 m "
Q: The cost price of 12 pens is equal to the selling price of 8 pens. The profit percentage is:
2128 0609f9ba56397877f3199dea2
609f9ba56397877f3199dea2- 150 %true
- 240 %false
- 355 %false
- 445 %false
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Answer : 1. "50 %"
Q: Rashid borrowed Rs.15000 at the rate of 10% p.a. rate of compound interest, compound annually. He repaid a certain amount at the end of the first. Then he paid Rs. 12100 at the end of the 2nd year to completely discharge the loan. What amount did he repay at the end of 1st year?
2128 061b1ebba8b0b930f53fe3eb0
61b1ebba8b0b930f53fe3eb0- 14500false
- 25500true
- 36500false
- 45800false
- 5None of thesefalse
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Answer : 2. "5500"
Q: Average age of 21 men reduces by 1 year when a man of 32 years is replaced by a child. What is the age of that child? 2127 05d19d5011388cd24f0860efa
5d19d5011388cd24f0860efa- 110 yearsfalse
- 211 yearstrue
- 39 yearsfalse
- 48 yearsfalse
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Answer : 2. "11 years"
Explanation :
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Q:DIRECTIONS: These questions are based on the following information.
A company XYZ Ltd has three units - P, Q and R. In each of these units there are five departments— Production, Marketing, Finance, HR and Accounts. The total number of employees in P, Q and R are in the ratio 3 : 5 : 4. The total number of employees in Production, Marketing, Finance, HR and Accounts in all the three units together are in the ratio 5 : 3: 1 : 1: 2. The ratio of the number of male employees of XYZ Ltd to that of the female employees of XYZ Ltd is 2 : 1. In each of the three units, there is no female employee in the Production department and no male employee in the HR department. In each of Marketing, Finance and Accounts departments at each of the units, males and females are equal in number. Also the total number of employees in Marketing, Finance and Accounts departments are equally distributed among each of the units. The company has 36,000 employees in total and the number of male employees in the production department at P, Q and R are in the ratio 2 : 8: 5.
What is the total number of male employees in units P and R together?
2127 05df9bbae8014020c092e1d2a
5df9bbae8014020c092e1d2aA company XYZ Ltd has three units - P, Q and R. In each of these units there are five departments— Production, Marketing, Finance, HR and Accounts. The total number of employees in P, Q and R are in the ratio 3 : 5 : 4. The total number of employees in Production, Marketing, Finance, HR and Accounts in all the three units together are in the ratio 5 : 3: 1 : 1: 2. The ratio of the number of male employees of XYZ Ltd to that of the female employees of XYZ Ltd is 2 : 1. In each of the three units, there is no female employee in the Production department and no male employee in the HR department. In each of Marketing, Finance and Accounts departments at each of the units, males and females are equal in number. Also the total number of employees in Marketing, Finance and Accounts departments are equally distributed among each of the units. The company has 36,000 employees in total and the number of male employees in the production department at P, Q and R are in the ratio 2 : 8: 5.
- 17500false
- 28000false
- 38500false
- 49000false
- 5None of thesetrue
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Answer : 5. "None of these"
Q: Akhil takes 30 minutes extra to cover a distance of 150 km if he drives 10 km/h slower than his usual speed. How much time will he take to drive 90 km if he drives 15 km per hours slower than his usual speed?
2127 06489bddaa33e0f47b78d0eec
6489bddaa33e0f47b78d0eec- 12h 45mfalse
- 22h 30mfalse
- 32htrue
- 42h 15mfalse
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Answer : 3. "2h "
Explanation :
Let's use the information given to calculate Akhil's usual speed first.
We know that Akhil takes 30 minutes (0.5 hours) extra to cover a distance of 150 km when he drives 10 km/h slower than his usual speed.
Let "S" be Akhil's usual speed in km/h. So, his slower speed would be (S - 10) km/h.
The time taken to cover a distance is equal to the distance divided by the speed: Time = Distance / Speed
At his usual speed, it takes him: Time at usual speed = 150 km / S hours
At the slower speed, it takes him: Time at slower speed = 150 km / (S - 10) hours
The difference in time between these two scenarios is 0.5 hours (30 minutes): Time at slower speed - Time at usual speed = 0.5 hours
Now, we can set up the equation and solve for S:
(150 km / (S - 10)) - (150 km / S) = 0.5
To solve this equation, we'll first get a common denominator: [150S - 150(S - 10)] / [S(S - 10)] = 0.5
Now, simplify and solve for S: [150S - 150S + 1500] / [S(S - 10)] = 0.5
1500 / [S(S - 10)] = 0.5
Now, cross-multiply: 2 * 1500 = S(S - 10)
3000 = S^2 - 10S
S^2 - 10S - 3000 = 0
Now, we can solve this quadratic equation for S using the quadratic formula:
S = [-(-10) ± √((-10)^2 - 4(1)(-3000))] / (2(1))
S = [10 ± √(100 + 12000)] / 2
S = [10 ± √12100] / 2
S = [10 ± 110] / 2
Now, we have two possible values for S, but we'll take the positive one because speed cannot be negative:
S = (10 + 110) / 2 = 120/2 = 60 km/h
So, Akhil's usual speed is 60 km/h.
Now, we want to find out how much time he will take to drive 90 km when he drives 15 km/h slower than his usual speed, which would be (60 - 15) = 45 km/h.
Time = Distance / Speed Time = 90 km / 45 km/h = 2 hours
Akhil will take 2 hours to drive 90 km when he drives 15 km/h slower than his usual speed.
Q: A shopkeeper earns a profit of 10% after allowing a discount of 20% on the marked price. The cost price of the article whose marked price is Rs. 880, is 2127 15cf12064c97a225730e3b31a
5cf12064c97a225730e3b31a- 1Rs. 704false
- 2Rs. 640true
- 3Rs. 774false
- 4Rs. 680false
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Answer : 2. " Rs. 640"
Explanation :
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