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