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What is the number if 60% of it added to 60 gives the number itself ?
From ans…150
40% of numb = 60
60% of 150 = 90
90+60 = 150
9/16 of a number is 51 greater than 50% of the number, then the number is
(9x/16)(x/2) = 51
X = 51*16 = 816
The sum of the number and its square is 1406. What is the number ?
See the last digit 06…..go for 7
Last digit ..37+(37*37) = 7+49 = 16
So ans: 37
The number is 0.01 is how many times as great as the number (0.0001)^{2} ?
0.01 = 10^{2}
(0.0001)^{2} = 10^{8}
10^{2}/10^{8} = 10^{6}
In a bag there are coins of 25 paise and 10 paise in the ratio of 5:16. If the bag contains Rs.16 then the number of 10 paise coin is
25*5+10*16 = 285
Rs 16 = 1600
No of 10p = 1600*16/285 = 89.82 = 90
a+b = c and abc = 30, then what is the value of a^{3} + b^{3 }– c^{3 }?
a^{3} + b^{3} – c^{3} = 3(abc) = 3(30) = 90
a^{2} + b^{2} + c^{2} = ab + bc + ca then the value of (a+b)/(b+c) is
Equation will be satisfied when a=b=c=1
(a+b)/c = (1+1)/(1+1) = 2/2 = 1
(ab) = 1, (bc) = 2 and (ca) = 3 then the value of (a^{3} +b^{3} +c^{3} 3abc)/(a+b+c) is
(a^{3} +b^{3} +c^{3} 3abc)/(a+b+c) =1/2[(ab) ^{2}+(bc)^{2} +(ca)^{2}] = ½(1+4+9) = 14/2 = 7
43*561+500100/10 = 43+561*500/10010 = 43+561*510
= 43+280510 =2838
Two third of a positive number and 25/216 of its reciprocal are equal.The number is
(2/3)x = (25/216)(1/x)
X^{2} = (25×3)/(216×2) = 25/144
X = 5/12
If 2(1/2) is added to a number and the sum multiplied by 4(1/2)and 3 is added to the product and then divide the sum by 1(1/5), the quotient becomes 25 .What is the number ?
{4(1/2)[X+2(1/2)]+3}/[1(1/5)] = 25
(9X/2)+(45/4)+3 = 25×(6/5)
9X/2 =63/4 X=7/2 or 3(1/2)
In a division sum ,the divisor is 3 times the quotient and 6 times the remainder.If the remainder is 2 then the dividend is
Divident = Quotient × Divisor +Remainder
Divisor = 6×2 = 12
Q = 12/3 = 4
Divident = 4×12+3 =48+2 = 50
The sum of two number is 24.The greatest product of these two numbers can be
X + Y = 24
Greatest Product then x and y must be equal
Possibility of getting 24 12+12= 24
12×12 = 144
Twenty times a positive integer is less than its square by 96.What is the integer ?
X^{2} – 20X = 96
X^{2}20X96 = 0
(X24)(X+4) = 0
X= 24, 4
positive integer = 24
If (ab) 3, (bc) = 5 and (ca) = 1 then the value of (a^{3}+b^{3}+c^{3} 3abc)/(a+b+c)
The product of the 2 consecutive odd number is 6723.What is the greater number ?
X ×(X+2) = 6723
X^{2} + 2X = 6723
X^{2}+2X6723 = 0
(X – 81)(X+83) = 0
Greatest number = 83
The sum of three number is 264. If the first number be twice the second and third number be one third of the first then the second number is
2X+X+(2X/3) = 264
(6X+3X+2X)/3 = 264
11X/3 = 264
X= (264×3)/11 = 72
If the number obtained on interchanging the digits of a 2 digit number is 18 more than the original number and the sum of the digit is 8.Then what is the original number?
Unit digit= x ; Ten’s digit = (8x)
[10(8x)+x] – [10x+(8x)] = 18
8010x+x10x8+x = 18
18x = 1880+8
18x = 54
X = 54/18 = 3
8 – x = 8 – 3 = 5
Hence the number is 35
The sum of three consecutive multiple of 4 is 72 .What is the largest number ?
4x+(4x+4)+(4x+8) = 72
12x+12 = 72
X=(7212)/12
X=5
Largest number = 4(5)+8 = 20+8 = 28
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