CAT Questions

---

From the above figure, we can say that there is the same amount of alcohol in one regular beer (340 ml/12 oz, 5% alcohol), one glass of wine (140 ml/5oz, 12% alcohol), one glass of fortified wine (85 ml/3oz, 20% alcohol) and one shot of spirits (45 ml/1.5 oz, 40% alcohol).

Hence, the given statement whiskey has more alcohol than wine is TRUE.

Here if you observe, add and subtract are opposite in nature. Similarly, mutiply and divide are also opposite in nature.

Hence, Add : Multiply :: Subtract : Divide.

Tone, volume and pace are part of Spoken language.

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

Lord Dalhousie was appointed as Governer General of India from 1848–1856. The first railway line connecting Bombay and Thane was laid under his authority in 1853 and is known as the maker of Modern India. He made way For Telegraph Services in India. 

He is also called as Father of Indian Railways.

The place value of 0 in 103 is given by the product of digits place in the number and the digit.

Here 0 is in 10's place in 103

=> 0 x 10 = 0.

Hence, The place value of 0 in 103 = 0.

The DSM is the Diagnostic and Statistical Manual of Mental Disorders. Its primary pupose is to help the mental health professionals like psychiartists, psycologists, etc... to treat mental illnesses. The DSM is published by the APA, American Psychiatric Association.