CAT Questions

---

Since the numbers are co-prime, they contain only 1 as the common factor.
Also, the given two products have the middle number in common.
So, middle number = H.C.F of 551 and 1073 = 29;
First number = 551/29 = 19
Third number = 1073/29 = 37.
Required sum = 19 + 29 + 37 = 85.

Angioplasty, also known as balloon angioplasty or PTA, is a minimally invasive, endovascular procedure to widen narrowed or obstructed arteries or veins, typically to treat arterial atherosclerosis.

Hence, the given statement that Angioplasty is the most typical treatment for arteriosclerosis is FALSE.

Let the numbers be a and b.
We know that product of two numbers = Product of their HCF and LCM
Then, a + b = 55 and ab = 5 x 120 = 600.
=> The required sum = (1/a) + (1/b) = (a+b)/ab
=55/600 = 11/120

Let the number be 'x'. Then, from given data

x/2 + x/3 + x/4 = x+22
13x/12 = x+22
x = 264

Subhash C. Garg, a 1983 batch lAS officer of Rajasthan cadre, has been appointed as the new the economic affairs secretary in the Union Finance Ministry. The post fell vacant after Shaktikanta Das retired on May 31, 2017. Currently, Tapan Ray, the corporate affairs secretary, has the additional charge of the economic affairs department. Prior to this appointment, Garg was Executive Director at World Bank for Bangladesh, Bhutan, India and Sri Lanka.

Santhosh's investment = 6000 x 70/100 = Rs.4200
Rajitha's investment = 4200 x 5/4 = Rs.5250
Therefore, total amount invested = 6000 + 4200 + 5250 = Rs.15450.
Required ratio = 5250 : 15450 = 35 : 103.

Given number is 987 = 3 x 7 x 47.

So, required number must be divisible by each one of 3, 7, 47.

None of the numbers in 553681 and 555181 are divisible by 3. While 556581 is not divisible by 7.
Correct answer is 555681.