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- Question
How many liters of oil at Rs. 40 per liter should be mixed with 240 liters of the second variety of oil at Rs.60 per liter so as to get a maximum whose cost is Rs.52 per liter?
Options- A. 170 liters
- B. 160 liters
- C. 150 liters
- D. 140 liters
- Correct Answer
- 160 liters
Explanation
Apply the Allegation Method and first calculate the ratio in which they have to be mixed. = 8 : 12 = 2 : 3 Thus, the two varieties of oil should be mixed in the ratio 2 : 3. So, if 240 liters of the second variety are taken, then 160 liters of the first variety should be taken. - 1. It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the cars is:
Options- A. 2 : 3
- B. 3 : 2
- C. 3 : 4
- D. 4 : 3 Discuss
- 2. A certain sum amounts to Rs 1586 in 2 year and Rs 1729 in 3 year. Find the rate and the sum.
Options- A. 8 %
- B. 9 %
- C. 10 %
- D. 11 % Discuss
- 3. (21 + 99) x (30 - 19.02) =?
Options- A. 3581
- B. 131
- C. 1290
- D. None of these Discuss
- 4. In a game A can give B 25 points in 75 and C 18 points in 90. How many points can C give B in a game of 120?
Options- A. 20
- B. 30
- C. 40
- D. 50 Discuss
- 5. The average of 6 number 13, 17, 25, 11, 26, 10 is
Options- A. 20
- B. 17
- C. 15
- D. 25 Discuss
- 6. A cistern has a leak which would empty it in 15 hours. A tap is turned on which admits 2 litres per hour into the cistern and it is now emptied in 10 hours. How many litres does the cistern hold?
Options- A. 50 litres
- B. 60 litres
- C. 45 litres
- D. 360 litres Discuss
- 7. Average of a,b and c is 11, average of c,d and e is 17 average of e and f is 22 and the average of e and c is 17 . Find out the average of a, b, c, d, e and f.
Options- A. 151?3
- B. 162?3
- C. 171?2
- D. 152?3 Discuss
- 8. A man buys 3 cows and 18 goats in ? 47,200. Instead if he would have bought 8 cows and 3 goats, he had to pay ? 53,000 more. Cost of one cow is:
Options- A. ? 10,000
- B. ? 11,000
- C. ? 12,000
- D. ? 13,000 Discuss
- 9. Six years ago, the ratio of the ages of Kunal and Sagar was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. What is Sagar's age at present?
Options- A. 16 years
- B. 18 years
- C. 20 years
- D. Cannot be determined
- E. None of these Discuss
- 10. (17.28 ÷? ) / (3.6 x 0.2) = 2
Options- A. 120
- B. 1.20
- C. 12
- D. 0.12 Discuss
More questions
Correct Answer: 3 : 4
Explanation:
| Then, | 120 | + | 480 | = 8 ⟹ | 1 | + | 4 | = | 1 | ....(i) |
| x | y | x | y | 15 |
| And, | 200 | + | 400 | = | 25 | ⟹ | 1 | + | 2 | = | 1 | ....(ii) |
| x | y | 3 | x | y | 24 |
Solving (i) and (ii), we get: x = 60 and y = 80.
∴ Ratio of speeds = 60 : 80 = 3 : 4.
Correct Answer: 11 %
Explanation:
Simple Interest in 1 year= Rs (1729 - 1586)
= Rs 143
now, SI in 2 year = Rs 286
Principal P= Rs(1586 - 286)
= 1300
And R= (100 × SI)/(P × T)
= (100 × 143)/(1300 × 1)
= 11 %
where, R = rate
SI= Simple Interest
P = Principal
T= Time
Correct Answer: None of these
Explanation:
(21+ 99) x (30 - 19.02)
? (21+ 99 ) x (30 - 19)
? 120 x 11 = 1320
Correct Answer: 20
Explanation:
When A scores 75 points, B scores 50 points.
When A scores 90 points, C scores (90 - 18) = 72 points.
? When A scores 75 points, C scores = 72 × 75 / 90 = 60 points.
A : B : C = 75 : 50 : 60
C : B = 60 / 50 = 120 / 100
So, in a game of 120, C can give B
(120 - 100) = 20 points.
Correct Answer: 17
Explanation:
Average = sum of 6 numbers / 6
= ( 13 + 17 + 25 + 11 + 26 + 10 ) / 6
= 102 / 6
= 17
Correct Answer: 60 litres
Explanation:
Here w = 2 litres per hour
? Required answer = {(15 x 10) / (15 - 10)} x 2 = 60 litres.
Correct Answer: 152?3
Explanation:
a + b + c = 11 x 3 = 33 .....(i)
c + d + e = 17 x 3 = 51 .....(ii)
e + f = 22 x 2 = 44 .....(iii)
e + c = 17 x 2 = 34 .....(iv)
From Eqs. (ii) and (iv), we get
34 + d = 51
? d = 17
Now adding Eqs. (i), (ii), (v), we get
a + b + c + d + e + f = 33 + 44 + 17 = 94
? Average of a, b, c, d, e and f = 94/6 = 152?3
Correct Answer: ? 12,000
Explanation:
Correct Answer: 16 years
Explanation:
| Then, | (6x + 6) + 4 | = | 11 |
| (5x + 6) + 4 | 10 |
⟹ 10(6x + 10) = 11(5x + 10)
⟹ 5x = 10
⟹ x = 2.
∴ Sagar's present age = (5x + 6) = 16 years.
Correct Answer: 12
Explanation:
Let (17.28 ÷ N ) / (3.6 x 0.2) = 2
Then, 17.28 / N = 1.44
? N = 17.28 / 1.44
= 12
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