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TalentSprint Aptitude Prep
Q. The radii of three concentric circles are in the ratio of 4 : 5 : 7. What is the ratio of the area
between the two inner circles to that between the two outer circles?
3:8
4:7
5:9
4:5
Q. To do a certain work, the ratio of the efficiencies of A, B and C is 7 : 5 : 6. Working together,
they can complete the same work in 35 days. B and C work together for 21 days. The
remaining work will be completed by A alone in:
54 days
50 days
60 days
57 days
Q. In a circle with center O and radius 10 cm, PQ and RS are two parallel chords of lengths x
cm and 12 cm respectively and both the chords are on the opposite side of O. If the
distance between PQ and RS is 14 cm, the value of x is:
16
15
20
18
Q. In △ACE, B and D are the points on side AC and CE respectively, such that BD ∥ AE and
AE = 8/3 BD. What is the ratio of the area of â–³BDC to that of â–³AEC?
9 : 16
9 : 64
3 : 8
8 : 11
Q. A train travelling at 44 km/h crosses a man walking with a speed of 8 km/h in the same
direction, in 15 seconds. If the train crosses a woman coming from the opposite direction in
10 seconds, then what is the speed (in km/h) of the woman?
10
9
8.5
10.5
Q. The average of eleven numbers is 54. The average of the first four numbers is 48 and that
of the next four numbers is 25% more than the average of the first four. The ninth number is
8 greater than the 11 th number and the tenth number is 4 greater than the 11 th number.
What is the average of the 9 th and the 10 th numbers?
52.6
54
56
54.4
Q. PQRS is a cyclic quadrilateral. If angle P is three times the angle R and angle S is five times
the angle Q, then the sum of the angles Q and R is:
65 ∘
75∘
72∘
70∘
Q. Sudha saves 15% of her income. If her expenditure increases by 20% and savings increase
by 60%, then by what percent has her income increased?
24
30
26
35
Q. If a 10-digit number 2094x843y2 is divisible by 88, then the value of (5x—7y) for the largest
possible value of x, is:
3
5
2
6
Q. The area of a â–³ABC is one unit. DE is a straight line parallel to BC, joining the points D and
E on AB and AC respectively such that AD : DB = 1 : 6. The ratio of the areas of the
triangles ADE and ABC is:
1 : 6
1 : 36
1 : 7
1 : 49
Q. In △ABC, D is a point on AC such that AB = BD = DC. If ∠BAD = 70∘, then the measure
of ∠B is:
75 ∘
82 ∘
80 ∘
70 ∘
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