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(16)^{3/4} can be written as ( 2 ) ^{4}^{ x 3/4 }
( 2 ) ^{3 } = 8
So option B is the correct answer.
A number when divided by the sum of 555 and 445 gives two times their difference as quotient and 30 as the remainder. The number is
A number divided by 68 gives the quotient 269 and remainder zero. If the same number is divided by 67, the remainder is
Given that the number of factors of 12 are 6. The number of factors of 24 must be
The difference of two numbers is 3 and the difference of their squares is 39, then the larger number is
(x^{n} + a^{n}) is divisible by (x + a) when n is odd.
∴ (12^{n} + 1) is divisible by (12 + 1) i.e., 13 when n is odd.
A man is paid Rs. 20 for each day he works and forfeits Rs. 3 for each day he is idle. At the end of 60 days he gets Rs. 280. Then he was idle for
D is the correct option. Suppose the worker remained idle for x days. Then,
He worked for (60 – x) days.
Bindu 20 (60 – x) – 3x = 280
a
1200 – 23x = 280
==> 23x = 920 ==> x = 40
So, the worker remained idle for 40 days.
The product of two fractions is 14/15 and their quotient is 35/24, the greater fraction is
B is the correct option. Solution
Let the no. be x and y.
xy= 14/15
x/y= 35/24
xy×x/y= (14/15)×(35/24)
x^2= 490/360= 49/36
x= 7/6
xy= 14/15
7y/6=14/15
y= 4/5
therefore, 7/6 is the greater fraction.
The sum of squares of two positive numbers is 100 and difference of their squares is 28. The sum of the numbers is
Three fourth of two third of a number is 782. What is three fourth of one fourth of the same number
Acc to given data,
let the no. be y,
3/4×2/3y = 782
y = 1564
3/4×1/4×1564 = 293.25
A number is 25 more than its two – fifths. Find the number
The sum and product of two numbers is 12 and 35 respectively. What is the sum of their reciprocals?
A number consists of two digits whose sum is 8. If 18 is subtracted from the number, the digits inter change their places. What is the number.
The correct option is D as
6218=44Which is not equal to 26, Which is the interchange of its digit.
And we can easily see that we will never get 62 or 53 by substracting18 from 26 or 35 respectively.
Also 5318=35 which have interchanged digits of 53.
So the answer is option D 53.
One fourth of a number exceeds its one – seventh by 24. What is the number
The sum of the digits of a two digit number is 10. The number formed by reversing the digit is 18 less than the original number. Find the original number.
The product of two numbers is 24 times the difference of these numbers. If the sum of these numbers is 14, find the larger number.
Find the smallest positive integer which must be subtracted from both the terms of ratio 6 : 7. So that the result gives a ratio, less than 16 : 21
C is the correct option. Let the whole number is X.
Now, according to question,
(6 X) /(7 X) < 16/21.
21 *(6 X) < 16 *(7 X)
126  21X < 112  16X
126  112 <  16X + 21X
14 < 5X
5X > 14
X > 2.8
So, Least such a whole number would be 3.
The numerator of a certain fraction is increased by 100% and the denominator is increased by 200%. The new fraction thus farmed is 4/21. What is the original fraction?
The sum of 18 % of a number and 6% of the same number is 492. What is 12% of that number?
The difference between two numbers is 18. If 4 times the second number is less than three times the first number by 18, what is the sum of these two numbers.
Five ninth of a number is equal to 2790 what is the number
What is the value of two fifth of threefourth of one – fourth of 26000.
If a number is multiplied by three – fourth of itself, value so obtained is 1728. What is the number.
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