The present ages of two persons, X and Y, are in the ratio 4 : 5. Five
years from now, the difference between X’s age and Y’s age will be 3
years. Find the sum of their present ages (in years).
a.
27
Correct Answer
b.
24
c.
26
d.
25
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Q2mcq
The sides of a triangle are 51 cm, 35 cm, and 26 cm. What is the
length (in cm) of its altitude corresponding to the side with a length
of 35 cm?
a.
60
b.
53
c.
40
d.
24
Correct Answer
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Q3mcq
A jacket with a marked price of ₹2,000 is sold for ₹1,530 after two
successive discounts. If the first discount is 15%, what is the second
discount percentage?
a.
5%
b.
8%
c.
12%
d.
10%
Correct Answer
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Q4mcq
The lengths of two rods are 4 cm and 6 cm. A third rod is made such
that the three rods are in continued proportion. What will be the
length of the third rod?
a.
12 cm
b.
9 cm
Correct Answer
c.
8 cm
d.
10 cm
No explanation saved for this question yet.
Q5mcq
The number of hours spent per day by 10 students watching
educational videos during a week are as follows:
2, 3, 4, 2, 5, 3, 2, 4, 2, 3. Find the mode.
a.
3 hours
b.
5 hours
c.
2 hours
Correct Answer
d.
4 hours
No explanation saved for this question yet.
Q6mcq
At a health club, 42% of the members are women and 58% of the
members are men. If the average age of the men is 57 years and the
average age of the women is 42 years, what is the average age (in
years) of all the members?
a.
57.6
b.
50.7
Correct Answer
c.
56.7
d.
44.9
No explanation saved for this question yet.
Q7mcq
A shopkeeper buys sugar at ₹25 per kg. He marks it at ₹32 per kg
and allows a 20% discount on the marked price. While selling, he
uses an 800 g weight instead of 1 kg. There is no other loss or
expense. What is the overall profit or loss percentage of the
shopkeeper?
a.
30% profit
b.
30% loss
c.
28% profit
Correct Answer
d.
28% Loss
No explanation saved for this question yet.
Q8mcq
What is the smallest number that must be added to 4583 so that the
resulting number is divisible by 9?
a.
5
b.
1
c.
7
Correct Answer
d.
3
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Q9mcq
An amount of ₹6,900 is obtained after 3 years at simple interest at
the rate of 5% interest per annum. What is the principal invested?
a.
₹5,800
b.
₹5,600
c.
₹6,000
Correct Answer
d.
₹6,400
No explanation saved for this question yet.
Q10mcq
A solid cylinder of radius 6 cm and height 14 cm is melted and recast
into a hollow cylinder of half the height of the original cylinder. If the
outer radius of the hollow cylinder is twice its inner radius, find the
outer radius (in cm) of the hollow cylinder.
a.
4√6
Correct Answer
b.
8√3
c.
8
d.
6√6
No explanation saved for this question yet.
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Subrata invested a certain amount of money at 10% per annum.
After 2 years, he received ₹220.5 as compound interest,
compounded annually. Find the corresponding simple interest (in ₹)
for 2 years at the same rate.
a.
205
b.
195
c.
210
d.
200
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Article M is sold at a reduction of ₹3,000 from its original price, and
Article N is sold at a reduction of ₹2,500 from its original price. If the
original prices of both articles were ₹10,000, reduction in price of M
is R1% and reduction in price of N is R2%, find the difference
between R1 and R2.
a.
10
b.
5
c.
15
d.
20
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Inlet M fills a tank in 24 minutes and Inlet N fills it in 32 minutes.
Outlet O drains the tank. When all three operate simultaneously, the
tank fills in 32 minutes. How long does O take to drain a full tank
alone?
a.
14 minutes
b.
44 minutes
c.
34 minutes
d.
24 minutes
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Two trains of equal lengths cross a stationary pole in 12 seconds
and 16 seconds, respectively. How long will it take for the trains to
cross each other when running in opposite directions? (Write your
answer rounded off to two decimal places.)
a.
14.53 seconds
b.
15.43 seconds
c.
12.61 seconds
d.
13.71 seconds
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Mike, Connor and Floyd can finish a certain piece of work in 8, 22
and 33 days, respectively. All three of them started the work
together. Mike left the work after 4 days and Connor left just 2 days
before the work was completed. Find the total number of days taken
for the work to be completed.
a.
7.8
b.
18.9
c.
3.8
d.
7.1
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A shopkeeper offers the following schemes on toys of the same
marked price.
(A) Successive discounts of 38% and 39% on any number of toys
bought.
(B) Successive discounts of 42%, 38% and 20% on any number of
toys bought.
(C) 11% discount on the first 2 toys and 42% discount on each toy
thereon.
(D) 9 toys free of cost on buying 10 toys.
A customer wants to buy 10 toys. Which of the above schemes is the
least beneficial to her?
a.
A
b.
B
c.
D
d.
C
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A trader sells an article at a profit of 16%. If he had sold it for ₹80
more, his profit would have been 48%. Find the number of articles
sold, given that the total cost price is ₹8,000.
a.
38
b.
35
c.
25
d.
32
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Three ropes of lengths 54 m, 72 m and 90 m are to be cut into
smaller pieces of equal lengths such that no rope is left over. What is
the maximum possible length of each smaller piece?
a.
12 m
b.
24 m
c.
18 m
d.
36 m
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If twice the smaller of two numbers is added to three times the
larger number, the result is 55. If the larger is increased by 5, it
becomes twice the smaller. What is the larger number?
a.
10.75
b.
12.75
c.
10.5
d.
12.5
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A delivery drone is hovering at a fixed point in the air. From two points on
angles of elevation of the drone are 30° and 60°. If the horizontal distance
drone is hovering.
a.
40.752 m
b.
42. 562 m
c.
41.652 m
d.
40.655 m his expenditure increases by 25%, then find the percentage change in the ground in a straight line on opposite sides of the drone, the between the two points is 94 m, find the vertical height at which the
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