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- Question
- 640 ml of a mixture contains milk and water in ratio 6:2. How much of the water is to be added to get a new mixture containing half milk and half water?
Options- A. 310 ml
- B. 320 ml
- C. 330 ml
- D. 340 ml
- Correct Answer
- 320 ml
ExplanationLet us assume the ratio product is Q.
According to question,
Quantity of Milk in mixture = 6Q ml
Quantity of Water in mixture = 2Q ml
Quantity of Milk in mixture + Quantity of Water in mixture = 640
6Q + 2Q = 640
8Q = 640
Q = 640/8
Q = 80
Quantity of Milk in mixture = 6Q ml = 6 x 80 = 480 ml
Quantity of Water in mixture = 2Q ml = 2 x 80 = 160 ml
To find the new mixture containing half milk and half water,
Quantity of water to be added for making the mixture of equal quantity of milk and water = 480 - 160 = 320 - 1. Raja invested ? 15000 at the rate of 10 % pa for 1 yr. If the interest is compound half-yearly, then find the amount received by Raja at the end of the year.
Options- A. ? 16537.50
- B. ? 18000
- C. ? 19000.50
- D. ? 20000 Discuss
- 2. The value of k for which kx + 3y - k + 3 = 0 and 12x + ky = k, have infinite solutions, is
Options- A. 0
- B. -6
- C. 6
- D. 1 Discuss
- 3. 8, 24, 12, 36, 18, 54, (....)
Options- A. 27
- B. 108
- C. 68
- D. 72 Discuss
- 4. solve 6x + 3y = 7xy and 3x + 9y = 11xy.
Options- A. x=1, y=3/2
- B. x=-1, y = 3/2
- C. x=3/2, y=1/2
- D. x=1, y= -3/2 Discuss
- 5. The numerator of a fraction is 6x + 1 and the denominator is 7 - 4x, x can have any value between -2 and 2, both included. The values of x for which the numerator is greater
Options- A. 3/5 < x ? 2
- B. 3/5 ? x ? 2
- C. 0 < x ? 2
- D. -2 ? x < 2 Discuss
- 6. Divide Rs. 600 among A, B and C so that Rs. 40 more than 2/5th of A's share,Rs. 20 more than 2/7th of B's share and Rs. 10 more than 9/17th of C's share may all be equal. What is A's share?
Options- A. Rs. 280
- B. Rs. 150
- C. Rs. 170
- D. Rs. 200 Discuss
- 7. Deepak has some hens and some goats. If the total number of animal heads is 90 and the total number of animal feet is 248, what is the total number of goats Deepak has?
Options- A. 32
- B. 36
- C. 34
- D. Cannot be determined Discuss
- 8. Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:
Options- A. 2 : 5
- B. 3 : 5
- C. 4 : 5
- D. 6 : 7 Discuss
- 9. If x + y - 7 = 0 and 3x + y - 13 = 0, then what is 4x 2 + y 2 + 4xy equal to?
Options- A. 75
- B. 85
- C. 91
- D. 100 Discuss
- 10. The sum of the two position number P and Q is 2.5 time their difference .If the product of the number 84 then the what is the sum of those two number?
Options- A. 26
- B. 24
- C. 22
- D. 20 Discuss
More questions
Correct Answer: ? 16537.50
Explanation:
Given P = ? 15000 , R = 10 %
and n = 1 yr
Accounting to the formula,
Amount = P(1 + R/(2 x 100))2n
= 15000 x (1 + 5/100 )2
= 15000 x (105/100 )2
= 15000 x (21/20) x (21/20)
= ? 16537.50
Correct Answer: 6
Explanation:
For infinite solution
a1/a2 = b1/2 = c1/c2
? K/12 = 3/K = (-K + 3)/ -K
? K/12 = 3/K
? K2 = 36
? K = ?36 = 6
Correct Answer: 27
Explanation:
So, the next number = 54 ? 2 = 27.
Correct Answer: x=1, y=3/2
Explanation:
Given equation are 6x + 3y = 7xy
? (6/y) + (3/x) = 7 .....(i)
And 3x + 9y = 11xy
? (3/y) + (9/x) = 11 .....(ii)
On multiplying Eq. (ii) by 2 and subtracting from Eq. (i), we get
(6/y) + (3/x) = 7
(6/y) + (18/x) = 22
-------------------------
- 15/x = - 15
? x = 1
On putting this value in Eq. (i), we get
(6/y) + 3 = 7
? 6/y = 4
? y = 6/4 = 3/2
Correct Answer: 3/5 < x ? 2
Explanation:
6x + 1 > 7 - 4x
? x > 3/5
? 3/5 < x ? 2
Correct Answer: Rs. 150
Explanation:
? 2A/5 + 40 = 2B/7 + 20 = 9C/17 + 10 = k
? A = 5(k - 40)/2, B =7(k - 20)/2 and C = 17(k - 10)/9
? 5(k - 40)/2 +7(k - 20)/2 +17/(k - 10 )/9 = 600
? 45k - 1800 + 63k - 1260 + 34k - 340 = 10800
? 142k = 14200
? k = 14200 / 142 = 100
Hence A's share = (5/2) x ( 100 - 40) = Rs. 150
Correct Answer: 34
Explanation:
Let hens = H, goats = G
According to the question,
H + G = 90 ...(i)
2H + 4G = 248 ...(ii)
On multiplying Eq. (i) by 2 and subtracting from Eq. (ii) , we get
2H + 2G = 180
2H + 4G = 248
-------------------
-2G = -68
? G = 34
Correct Answer: 4 : 5
Explanation:
| Then, first number = 120% of x = | 120x | = | 6x |
| 100 | 5 |
| Second number = 150% of x = | 150x | = | 3x |
| 100 | 2 |
| ∴ Ratio of first two numbers = | ❨ | 6x | : | 3x | ❩ | = 12x : 15x = 4 : 5. |
| 5 | 2 |
Correct Answer: 100
Explanation:
we have, x + y - 7 = 0
? x + y = 7 ...(i)
and 3x + y - 13 = 0
? 3x + y = 13 ..(ii)
By subtracting Eq. (i) from Eq. (ii), we get
3x + y = 13
x + y = 7
----------------------
2x = 6 ...(ii)
? x = 3
On putting the value of x in Eq. (i), we get
3 + y = 7
? y = 4
Now, 4x2 + y2 + 4xy
= 4 x (3)2 + (4)2 + 4 x 3 x 4
= 4 x 9 + 16 + 48
= 36 + 16 + 48 = 100
Correct Answer: 20
Explanation:
Let the number be P and Q
According to the question
(P + Q) = 2.5 (P - Q)
? P + Q = 2.5P - 25Q
? 3.5Q = 1.5P
? P / Q = 7/3 .....(i)
Now PQ = 84
? Q2 = (84 x 3) / 7
? Q2 = 36
? Q = 6
&ther4; P = (7/3) x 6 = 14
Sum of the number = P + Q = 14 + 6 = 20
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