Question
If a : b=5:3, then (8a - 5b) : (8a + 5b) is equal to:
3 : 13
5 : 11
2 : 5
3 : 11

Solution
Correct option is 5 : 11

a: b= 5 : 3 माना a : b= 5x : 3x. : $\therefore$(8a - 5b) : (8a + 5b) = (40x - 15x): (40x + 15x) = 25x: 55x = 5:11

Question
If a : b = 5 : 7, then (5a - 3b) : (4a - 2b) is equal to -
5 : 4
2 : 3
3 : 2
4 : 3

Solution
Correct option is 2 : 3

(5a - 3b) : (4a-2b) = (5 $\times$5-3 $\times$7) : (4$\times$5-2$\times$7) = 4 : 6 = 2 : 3

Question
According to the will the wealth of Rs. 21,25,000 was to be divided between the son and the daughter in the ratio 7/6 : 5/3. How much did the son get (in Rs.) ?
875000
12,5,000
10,00,000
11,25,000

Solution
Correct option is 875000

पुत्र और पुत्री की सम्पति का अनुपात . $=\dfrac 76 : \dfrac 53$ $= 7 : 10$ अतः पुत्र का हिस्सा = 2125000 $\times \left(\dfrac{7}{10 + 7}\right)$ $=125000\times 7$ $=875000$

Question
Rs 10,200 has to be divided among A, B & C so on that A gets 2/3 of what B gets and B gets 1/4 of what C gets. How much more does C get over A (in Rs)?
6000
7200
1800
1200

Solution
Correct option is 6000

माना C का हिस्सा = 12 A : B : C= 2 : 3 : 12 17 यूनिट = 10200रु. 1 यूनिट = 600 रु. 10 यूनिट = 6000 रु. अतः C को A से 6000 रु. अधिक मिलेगा।

Question
In a bag, white marbles and red marbles are in the ratio of 3:5. If the number of red marbles are 150, then how many white marbles are there?
90
120
60
30

Solution
Correct option is 90

सफेद और लाल कंचों का अनुपात = 3 :5 5 यूनिट = 150 3 यूनिट = 90 अतः सफेद कंचों की संख्या = 90

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