Maths Practice Question and Answer
8 Q: When n is divided by 6, the remainder is 4. When 2n is divided by 6, the remainder is :
2298 05ee85530c9ddb00b8bda71c6
5ee85530c9ddb00b8bda71c6- 14false
- 22true
- 30false
- 41false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "2 "
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.
In how many departments of XYZ Ltd is the number of employees, as a percentage of the number of employees in P, more than 80%?
2298 05df9c0358014020c092e37c3
5df9c0358014020c092e37c3A 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.
- 12true
- 23false
- 31false
- 44false
- 5None of thesefalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "2"
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?
2297 06489bddaa33e0f47b78d0eec
6489bddaa33e0f47b78d0eec- 12h 45mfalse
- 22h 30mfalse
- 32htrue
- 42h 15mfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
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: Geeta weighs 11.235 kg . Her sister weighs 1.4 times her weight . Find their combined weight ?
2297 05ee05aff0cb2490dae74f637
5ee05aff0cb2490dae74f637- 115.729 kgfalse
- 225.964 kgfalse
- 326.964 kgtrue
- 426.946 kgfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "26.964 kg "
Q: 10 year ago, the ages of A and B were in the ratio 13 :17 respectively. 17 year from now the respective ratio of their ages will be 10:11. what is the age of B at present?
2297 05e6c5b17dc5d481fc6538a24
5e6c5b17dc5d481fc6538a24- 123 yearfalse
- 240 yearfalse
- 327 yeartrue
- 444 yearfalse
- 5None of thesefalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "27 year"
Q: The sum of the squares of three numbers is 532 and the ratio of the second and also of the second to the third is 3 : 2 . What is the second number?
2295 16142c46aca41d4144a0d5ecc
6142c46aca41d4144a0d5ecc- 110false
- 28false
- 312true
- 414false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "12"
Q: 12 men complete a work in 18 days. Six days after they had started working, 4 men joined them. How many days will all of them take to complete the remaining work?
2295 05dbfba79656bc31fa3165069
5dbfba79656bc31fa3165069- 110 daysfalse
- 212 daysfalse
- 315 daysfalse
- 49 daystrue
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "9 days"
Q: The cost price of 12 pens is equal to the selling price of 8 pens. The profit percentage is:
2294 0609f9ba56397877f3199dea2
609f9ba56397877f3199dea2- 150 %true
- 240 %false
- 355 %false
- 445 %false
- Show AnswerHide Answer
- Workspace
- SingleChoice