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- Question
The ratio of the angles of a triangle is 3 : 4 : 5. The three angles of a quadrilateral is equal to three angles of this triangle. What is the sum of the largest angle and second smallest angle of the quadrilateral ?
Options- A. 225 deg
- B. 210 deg
- C. 205 deg
- D. 245 deg
- Correct Answer
- 225 deg
ExplanationAngle of triangle = 180 × 3/12
= 45 deg
Other angles of the triangle are = 60 deg, 75 deg
Angle of quadrilateral
= 360 - (45 + 60 + 75)
= 180 deg
Therefore, the four angles of the quadrilateral are 45, 60, 75 & 180 degrees.
Hence, the sum of largest and smallest angle of the quadrilateral are 180 + 45 = 225 deg.
- 1. 80 litres of diesel is required to travel 800 km using a 800 cc engine. If the volume of diesel required to cover a distance varies directly as the capacity of the engine, then how many litres of diesel is required to travel 1000 kms using 1200 cc engine ?
Options- A. 120 lit
- B. 140 lit
- C. 110 lit
- D. 150 lit Discuss
- 2. The sum of three numbers is 98. If the ratio of the first to the second is 2:3. And that of the second to the third is 5:8, then the second number is:
Options- A. 10
- B. 15
- C. 20
- D. 30 Discuss
- 3. If 6 men and 3 boys working together, can do four times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time ?
Options- A. 1 : 2
- B. 2 : 1
- C. 3 : 1
- D. 1 : 3 Discuss
- 4. In a fort, there are 1200 soldiers. If each soldier consumes 3 kg per day, the provisions available in the fort will last for 30 days. If some more soldiers join, the provisions available will last for 25 days given each soldier consumes 2.5 kg per day. Find the number of soldiers joining the fort in that case ?
Options- A. 693
- B. 741
- C. 528
- D. 654 Discuss
- 5. A and B invests Rs.8000 and Rs.9000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year ?
Options- A. 21:29
- B. 41:54
- C. 32:45
- D. 37:51 Discuss
- 6. In Maa Yatri Temple every devotee offers fruits to the orphans. Thus every orphan receives bananas, oranges and grapes in the ratio of 3:2:7 in terms of dozens. But the weight of a grape is 24 gm and weight of a banana and an orange are in the ratio of 4:5, while the weight of an orangeis 150gm. Find the ratio of all the three fruits in terms of weight, that an orphan gets
Options- A. 90:75:42
- B. 180:150:82
- C. 75:42:90
- D. None of these Discuss
- 7. Out of 135 applicants for a post, 60 are graduates and 80 have experience. What is the ratio of minimum to maximum number of graduates having experience?
Options- A. 12:1
- B. 5:1
- C. 1:5
- D. 1:12 Discuss
- 8. Salaries of Karthik, Arun and Akhil were in the ratio 4 : 5 : 6 respectively. If their salaries were increased by 50 per cent, 60 per cent and 50 per cent respectively, what will be the new ratio of the salaries of Akhil, Arun and Karthik ?
Options- A. 6 : 8 : 9
- B. 8 : 6 : 9
- C. 9 : 8 : 6
- D. 6 : 5 : 4 Discuss
- 9. In an exam, a candidate secured 504 marks out of the maximum mark of 'M'. If the maximum mark 'M' is converted into 800 marks, he would have secured 384 marks. What is the value of 'M' ?
Options- A. 910
- B. 1000
- C. 970
- D. None of the above Discuss
- 10. A mixture contains alcohol and water in the ratio 4:3. If 5 liters of water is added to the mixture, the ratio becomes 4:5. Find the quantity of alcohol in the given mixture.
Options- A. 8 Liters
- B. 10 Liters
- C. 18 Liters
- D. 22 Liters Discuss
Ratio and Proportion problems
Search Results
Correct Answer: 150 lit
Explanation:
To cover a distance of 800 kms using a 800 cc engine, the amount of diesel required = 80 litres.
=> the amount of diesel required to cover a distance of 1000 kms = 1000 x 80/800 = 100 litres
However, the vehicle uses a 1200 cc engine and it is given that the amount of diesel required varies directly as the engine capacity.
i.e., for instance, if the capacity of engine doubles, the diesel requirement will double too.
Therefore, with a 1200 cc engine, quantity of diesel required = 1200/800 x 100 = 150 litres.
Correct Answer: 30
Explanation:
Let the three parts M, N, O.
Then, M:N = 2:3 and N:O = 5:8
= (5 x 3/5) : (8 x 3/5) = 3:24/5
M:N:O = 2:3:24/5
= 10:15:24 => N = 98 x 15/49 = 30.
Correct Answer: 1 : 2
Explanation:
6M + 3B = 4(1M + 1B)
6M + 3B = 4M + 4B
2M = 1B
M/B = 1/2
Correct Answer: 528
Explanation:
Assume x soldiers join the fort. 1200 soldiers have provision for 1200 (days for which provisions last them)(rate of consumption of each soldier)
= (1200)(30)(3) kg.
Also provisions available for (1200 + x) soldiers is (1200 + x)(25)(2.5) k
As the same provisions are available
=> (1200)(30)(3) = (1200 + x)(25)(2.5)
x = ([(1200)(30)(3)] / (25)(2.5)) - 1200 => x = 528.
Correct Answer: 32:45
Explanation:
A : B
(8000x4)+(4000x8) : (9000x6)+(6000x6)
64000 : 90000
=> 32 : 45
Correct Answer: None of these
Explanation:
Ratio of fruits (by dozen) = 3:2:7
Ratio of fruits (by weight) = 120 :150: 24
Therefore, Ratio of fruits (combined) by weight = 3 x 120 : 2 x 150 : 7 x 24 = 30 : 25 : 14
Correct Answer: 1:12
Explanation:
Given total applicants = 135
Given graduates are G=60
Otherthan graduates=135-60 = 75
Given experienced candidates = 80
1) For maximum number of graduates have experience
Total graduates to have experience = 60
2) For minimum number of graduates have experience
Remaining after taking other than graduates in experience= 80-75 = 5
Correct Answer: 9 : 8 : 6
Explanation:
Given the salaries are in the ratio of 4 : 5 : 6
Now the salaries are increased by 50%, 60% and 50% respectively
The New ratio of salaries will be
4 x (150/100) : 5 x (160/100) : 6 x (150/100)
= 6 : 8 : 9
The new ratio of salaries of Akhil, Arun and Karthik is 9 : 8 : 6
Correct Answer: None of the above
Explanation:
504/M = 384/800
(504 x 800) / 384 = M
M = 1050
Correct Answer: 10 Liters
Explanation:
Let the quantity of alcohol and water be 4x liters and 3x liters respectively. Then,
(4x)/(3x+5) = 4/5
=> 20x = 4(3x+5)
=> x = 2.5
Quantity of alcohol = (4 * 2.5) liters = 10 liters.
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