Question
The radii of two concentric circles are 20 cm and 25 cm.
A straight line PQRS intersects the larger circle at the points P and S and intersects the smaller circle at the points Q and R. If QR = 32 cm, then the length (in cm.) of PS is:(Approx.)Solution
In the right triangle OQM. OM = √ (20²- 16²) = √144 = 12cm In the right triangle OMS. Let RS = x cm So, (25) ² = (12) ² + (x + 16) ² (x + 16) ² = 625 – 144 = 481 x + 16 = 21.9 x=21.9 - 16 =5.9 x = 5.9 So, PS = 2 × (16 + 5.9) = 43.8 cm
In the following question select the answer pair that expresses a relationship most similar to that expressed in the capitalised pair.
Obfuscat...
A person pretending to be somebody he isn't
Fill in the blanks with the appropriate antonym of the word in Italic from the options given:
The serene atmosphere was disturbed by a ______...
He reels (A) off a series of allegation (B) , most of which have either been positively discredited (C) or remain wholly unsubstantiated (D) .
...Select the option that is NOT an antonym of a word by way of adding the prefix 'in-'.
Choose the correct synonym for the given word.
Renewal
Select the most appropriate meaning of the given idiom
Once in a blue moon
Choose the most appropriate antonym of the given word
METICULOUS
Complete the sentences given in List-I with the appropriate words given in List-II :
The money was left by a philanthropist to build a hospital ward.
