The product of two digits number is 2160 and their HCF is 12. The numbers are________?
A. (36,60)
B. (12,180)
C. (96,25)
D. (72,30)
A. (36,60)
B. (12,180)
C. (96,25)
D. (72,30)
A. 975
B. 753
C. 642
D. 684
E. None of these
Explanation:
Let the three digit numbers be 100a + 10b + c
a = b + 2
c = b – 2
a + b + c = 3b = 18 => b = 6
So a = 8 and b = 4
Hence the three digit number is: 864
A. Rs. 25
B. Rs. 18
C. Rs. 15
D. Rs. 22
Explanation:
Total members in the group = 7
Average amount = Rs. 20
Total amount with them = 7 * 20 = Rs. 140
One number has Rs. 50. So, the amount with remaining 6 people = 140 – 50 = Rs. 90
The average amount with them = 90/6 = Rs. 15
A. 300
B. 200
C. 400
D. 500
Explanation:
(60/100) * X + 120 = X
2X = 600
X = 300
A. 8:15:30
B. 5:18:28
C. 4:5:6
D. 2:3:5
P1:P2:P3 = (2*4):(3*5):(5*6)
= 8 : 15 : 30
A. 60
B. 56
C. 64
D. 74
E. None of these
Explanation:
Let the number of one rupee coins in the bag be x.
Number of 50 paise coins in the bag is 93 – x.
Total value of coins
[100x + 50(93 – x)]paise = 5600 paise
=> x = 74
A. 15
B. 14
C. 24
D. 26
Explanation:
a/b + b/a = (a2 + b2)/ab = (a2 + b2 + a + b)/ab
= [(a + b)2 – 2ab]/ab
a + b = -8/1 = -8
ab = 4/1 = 4
Hence a/b + b/a = [(-8)2 – 2(4)]/4 = 56/4 = 14.