The given number series is 6, 8, 5, 10, 4, 14
6
6 + 2 = 8
8 - 3 = 5
5 + 5 = 10
10 - 7 = 3
3 + 11 = 14
...
Hence, the odd man in the given series is 4.
Given Dileep and Narender started a business.
Dileep invested 8000 for 12 months
Let Narender invested 'p' for 6 months
At the end of the year, their profit ratio is 1 : 1.
Hence,
8000 x 12 : p x 6
p : 16000
p/16000 = 1/1
=> p = 16,000
Hence, Narender invested amount is Rs. 16,000.
only (c) is correct since it is divisible by 4.
Let the original number of element be x then the new no.of elements will be
So K must be divisible by 4
Since, x = Kx5/4
1/K + 1/L + 1/M = 1/8 (Given)
Also given that K = 2L and L = 2M
=> 1/2L + 1/L + 2/L = 1/8
=> (1 + 2 + 4)/2L = 1/8
=> 2L/7 = 8
=> L = 28 hours.
Given total sum = Rs. 427
And given that 3 times A?s share, 4 times B?s share and 7 times C?s share are all equal.
=> 3A = 4B = 7C
But given
=> A + B + C = 427
Now express A and B in terms of C i.e
=> (7C/3) + (7C/4) + C = 427
=> C = 84
Let N be the required number.
=>
=> N = 2664x2x7x5/9
=> N = 20720.
Let the total amount in the partnership be 'x'.
Then A's share = x/3
B's share = x/4
C's share = x/5
D's share = x - (x/3 + x/4 +x/5) = 13x/60
A : B : C : D = x/3 : x/4 : x/5 : 13x/60 = 20 : 15 : 12 : 13
A's share in the profit of Rs. 2490 = 20 (2490/60) = Rs. 830.
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