Question
Aman is forming pairs of two natural numbers, A and B,
such that their product equals 350. He wants to determine how many such pairs exist where A and B are co-prime. How many such pairs can be created?Solution
Co-prime numbers are the ones whose HCF is 1. The possible number of pairs of ‘A’ and ‘B’, such that, ‘A’ and ‘B’ are co-prime = 2k – 1 Where, ‘k’ is the number of prime factors of the product. 350 = 21 × 52 × 71 So, the number of prime factors of 350 = k = 3 So, the possible number of pairs of ‘A’ and ‘B’, such that they are co-prime = 23 – 1 = 22 = 4
Select the correct sequence of mathematical signs to replace the ‘@’ signs so as to balance the given equation.
252 @ 28 @ 11 @ 5 @ 22 = 42
Select the correct combination of mathematical signs that can sequentially replace the * signs and balance the equation.
32 * 8 * 55 * 42 * 7 * 305
A cheetah can catch a deer running with a speed of 126 km/h and is 55 meters ahead of it, in 11 seconds. Find the time taken by the cheetah to catch a z...
In the following question, select the related number from the given alternatives.
22 : 330 :: 28 : ?
- If '+' means '-', ' X ' means '+', '-' means '÷' and '÷' means ' X ', then what is the value of the following expression?
32 ÷ 5 X 184 - 8 + 78 Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation.
30 * 4 * 2 * 1 * 121
- Which two signs should be interchanged to correct the given equation?
5 + 3 × 8 – 12 ÷ 4 = 3 If '+' means '-', ' X ' means '+', '-' means '÷' and '÷' means ' X ', then what is the value of the following expression?
480 - 12 + 250 X 3...
If ‘P’ means ‘+’, V means ‘x’, T means ‘-‘ and ‘Q’ means “÷’ , then find ...
Select the different combination of mathematical signs that can sequentially replace the # sign and balance the given equation.
63 # 9 # 52 # 10 # 4 = 19
