571.
Two parallel chords of length 8 units each are 6 units away from each other in a circle. What is the radius of the circle in
units?
(A)
3
(B)
6
(C)
5
(D)
4
572.
Two circles with centre O and A touch each other externally. The radius of the first circle with centre O is 6 cm. The radius of
the second circle with centre A is 3 cm. Find the length of their common tangent CB (in centimetres).
(A)
(B)
(C)
(D)
573.
Study the given bar-graph and answer the question that follows.
The bar-graph shows the production (in lakh) of kitchen appliances manufactured by three companies A, B, and C over a
period of six years from 2012 to 2017.
In which year was the percentage of rise / fall in production from the previous year the maximum for company C?
(A)
2013
(B)
2017
(C)
2016
(D)
2015
574.
∆ABC~∆EDF and area (∆ABC) : area (∆EDF) = 9 :4. If AB = 5 cm, BC = 8 cm and CA = 10 cm, then DF is equal to:
(A)
(B)
(C)
(D)
575.
The distribution of total 1500 students in a school for different games is shown in the following figure. Study the given
figure carefully and answer the question that follows.
Find the total number of students selected for cricket and tennis.
(A)
825
(B)
525
(C)
415
(D)
625
576.
In an election between two candidates, one got 60% of the total valid votes and 15% of the votes were invalid. If the total
number of votes were 8400, the number of valid votes that the other candidate got were:
(A)
2856
(B)
2998
(C)
3117
(D)
3213
577.
There are 160 multiple choice questions in a test. 4 marks are allotted for a correct answer and 1 mark is deducted for a
wrong answer or un-attempted question from the total score of correct answers. If a candidate scored 400 marks in the test,
how many questions did he answer correctly?
(A)
110
(B)
115
(C)
112
(D)
120
578.
Riya and Sangeeta can finish a work in 6 days and 8 days, respectively. Riya started the work alone and then after 3 days,
Sangeeta joined Riya. They both finish the remaining work. How long did the total work last?
(A)
(B)
(C)
(D)
579.
In an engineering college, there are four branches namely Computer Science (CS), Electronics (EC), Civil (CE), and
Mechanical (ME). The respective ratio of the number of students in these branches is 11 : 5 : 6 : 7. What is the percentage of
students belonging to CS and ME branches in the college (correct up to two decimal places)?
(A)
61.07%
(B)
61.37%
(C)
62.07%
(D)
62.37%
580.
If the radius of a sphere is increased by 12 percent, then the volume will be increased by approximately: