CAT Questions

---

Achal Kumar Jyoti (64), a retired 1975 IAS Officer batch of Gujarat Cadre, is the newly appointed Chief Election Commissioner (CEC), who took over as the head of the Election Commission in New Delhi on today. He succeeded Dr Nasim Zaidi. Jyoti will continue as the Chief Election Commissioner till January 17, 2018. Prior to this appointment, he was Election Commissioner of India. A CEC or an EC can have a tenure of six years or hold office till the age of 65 years, whichever is earlier.

For exampe if it is 12:45 AM, then after 8 hours the time is 

12 hrs 45 min + 8 hrs = 8 : 45 PM in the night on the same day. 

Draw the two chords as shown in the figure. Let O be the center of the circle. Draw OC
perpendicular to both chords. That divides the two chords in half.
So CD = 10 and AB = 14. Draw radii OA and OD, both equal to radius r.
We are given that BC = 5, the distance between the two chords. Let
OB = x.

We use the Pythagorean theorem on right triangle ABO

AO² = AB² + OB²
r² = 14² + x²

We use the Pythagorean theorem on right triangle DCO

DO² = CD² + OC²

We see that OC = OB+BC = x+5, so

r² = 10² + (x+5)²

So we have a system of two equations:

r² = 14² + x²
r² = 10² + (x+5)²

Since both left sides equal r², set the right sides
equal to each other.

14² + x² = 10² + (x+5)²
196 + x² = 100 + x² + 10x + 25
196 = 125 + 10x
71 = 10x
7.1 = x

r² = 14² + x²
r² = 196 + (7.1)²
r² = 196 + 50.41
r² = 246.41
r = √246.41
r = 15.69745202 cm

By observing the above pattern Figure (3) will complete the matrix.

The One-word substitute for 'a post without remuneration' is Honorary.

Ujjivan Small Finance Bank Ltd, a wholly-owned subsidiary of Ujjivan Financial Services Ltd, has been given scheduled bank status by RBI.

Puttingal Temple was a Hindu temple in the coastal town of Paravur, India. The temple was founded after the presence of the goddess was experienced on an ant hill with Puttu being the Malayalam word for ant Hill.

Surekha Marandi has been appointed as the new Executive Director (ED) of Reserve Bank of India (RBI). She succeeded U S Paliwal, who retired on December 31, 2016.