| A) 28
B) 26
C) 24
D) 22
Correct Answer :26
Explanation :
As given, the ratio of the number of head and the number of feet =12 : 35 and the number of head is 48-
So 12*P=48
P=4
Hence, the number of feet = 35*4 =140
Now,Let the number of chickens is X and cows is Y.
So,
X+Y=48
2X+4Y=140
After resolving above equetion X=26
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| A) 100000
B) 140000
C) 150000
D) 175000
Correct Answer :100000
Explanation :
Let the weights of the pieces of diamond are x, 2x, 3x, 4x.
Total weight of original diamond = 1x + 2x + 3x + 4x = 10x
as is given Cost ∝ (weight)2
Total cost of original diamond = (10x)2 = 100x2 ..…(i)
Now, Cost of each piece = x 2, 4x 2, 9x 2, 16x 2
Total cost pieces = x2(1 + 4 + 9 + 16) = 30x2 …..(ii)
Total loss = 100x2 - 30x2 = 70x2
But total loss = 70000
70x2 = 70000
x2 = 1000
Total cost of original diamond = 100x2
= 100 * 1000 [ x2 = 1000]
= 100000
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| A) 1024
B) 1256
C) 1536
D) 1640
Correct Answer :1536
Explanation :
Let the number are x and 5x
Now, (x )(5x ) = 320
5x2 = 320
x2 = 64
x = 8
Therefore Numbers are 8 and 40.
Hence, difference between their squares= (40)2 - (8)2 = 1600 - 64 = 1536
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| A) 18000
B) 20000
C) 22000
D) 24000
Correct Answer :24000
Explanation :
Let total property of man= x
His widow gets = x/3
His daughter gets = 3/5 *[x − (x/3)]
=3/5 *(2x/3)=2x/5
His son's property = x−[(x/3)+(2x/5)]
6400 = x−(11x/15)
6400 = (15x−11x)/15
6400*15 = 4x
x = 1600*15
x=24000
Hence, total property=24000
|
| A) 47
B) 56
C) 38
D) 58
Correct Answer :47
Explanation :
Let x be units digit and y be tens digit.then number is 10y + x
As given,
x + y = 11 ----eq1
10x + y = 10y + x + 27----eq2
from eq2
9x -9y = 27
x - y = 3 ----eq3
by adding eq1 and eq3
2x = 14
x = 7
Substitute x in eq1
7 + y =11
y = 4
Therefore, the number is 10x + y = 10*4 + 7 = 47
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