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Q:

Two equal circles intersect each other at point A and B, whose centers are O and O’. OO’ = 24 mm and AB = 10 mm, then find the area (in sq. mm) of the circle.

 

A) 530.66 B) 520.66
C) 510.33 D) 500.33
 
Answer & Explanation Answer: A) 530.66

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

Q:

In the given figure, E and F are the centers of two identical circles. What is the ratio of area of triangle AOB to the area of triangle DOC?

A) 1 : 3 B) 1 : 9
C) 1 : 8 D) 1 : 4
 
Answer & Explanation Answer: B) 1 : 9

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

In the given figure, PQRS is a square of side 20 cm and SR is extended to point T. If the length of QTis 25 cm, then what is the distance (in cm) between the centers O1 and O2 of the two circles?

A) 5√10 B) 4√10
C) 8√5 D) 16√2
 
Answer & Explanation Answer: A) 5√10

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

Q:

Two circles touch externally. The sum of their areas is 130π sq.cm and the distance between their centers is 14 cm. The radius of the bigger circle is

A) 22 cm B) 11 cm
C) 33 cm D) 44 cm
 
Answer & Explanation Answer: B) 11 cm

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

Q:

The length of the common chord of two intersecting circles is 12 cm. If the diameters of the circles are 15 cm and 13 cm, then what is the distance (in cm) between their centers?

A) 7/2 B) 7
C) 7√2 D) 14
 
Answer & Explanation Answer: B) 7

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

Q:

The government is set to launch the most ambitious bets to ward off cybercrime in its Rs 1,000-crore National Cyber Coordination Centre project slated to begin operations by the end of this month. According to government officials, the Centre is meant to monitor the cyber traffic in the country and prevent possible large-scale cyber attacks by analyzing the traffic. It will begin with tracking the networks of a handful of Internet Service Providers (ISPs) and data centers.

Which of the following statements most strongly supports the argument?

A) The government seems to be fast-tracking its efforts to strengthen cyber security especially after the unprecedented rise in the digital transactions in the country since demonetization. B) In the wake of large-scale cyber attacks in the country recently, the government has taken several measures to contain the spread of cybercrime.
C) The Centre will monitor the flow of traffic and analyze upcoming attacks and take action in real time. D) None of these
 
Answer & Explanation Answer: B) In the wake of large-scale cyber attacks in the country recently, the government has taken several measures to contain the spread of cybercrime.

Explanation:

Almost all the options are in support with the passage. As B underlines the main cause, it is the strongest argument among all the given options.

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Filed Under: Deriving Conclusions From Passages

Q:

With which IIT did the Indian Railways sign a MoU in Dec 2015, for setting up Centers for Railway Research?

A) IIT Madras B) IIT Mandi
C) IIT Delhi D) IIT Indore
 
Answer & Explanation Answer: A) IIT Madras

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Filed Under: General Awareness

Q:

O and O' are the center of the two circles with radii 7cm and 9cm respectively. The distance between the centers is 20cm. If PQ be the transverse common tangent to the circles, which cuts OO' at X, what is the length of O'X in cm ?

A) 10 B) 6
C) 35/4 D) 45/4
 
Answer & Explanation Answer: D) 45/4

Explanation:

As clear from the figure itself, triangle OQX and triangle O'PX are similar.

So,

OQ/O'P = OX/O'X

=> OX = (7/9)xO'X

And since, OX + O'X = 20

=> (7/9)xO'X + O'X = 20

=> O'X = 45/4

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Filed Under: Arithmetical Reasoning
Exam Prep: AIEEE , Bank Exams , CAT
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