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Browse complete papersAt a health club, \( 54% \) of the members are women and \( 46% \) of the members are men. If the average age of the men is \( 45 \) years and the average age of the women is \( 50 \) years, what is the average age (in years) of all the members?
46.8
47.7
46.4
47.2
Correct answer
46.8
A rectangular cardboard sheet measures \( 14 \text{ cm} \) in length and \( 11 \text{ cm} \) in width. From each of the two longer sides (each \( 14 \text{ cm} \)), three equilateral triangles of side \( 2 \text{ cm} \) are cut out. From each of the two shorter sides (each \( 11 \text{ cm} \)), a semicircle is cut out, such that none of the triangles or semicircles overlap with one another. If the perimeter of the cardboard after all these cuttings is \( 70 \text{ cm} \), find the radius (in cm) of each semicircle cut out.
\( (\text{Use } \pi = \frac{22}{7}) \).
10.5
7
3.5
1.75
Correct answer
10.5
Select the set in which the numbers are related in the same way as are the numbers of the following sets.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding to/subtracting from/multiplying with 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
19 - 3 - 16
3 - 1 - 2
50 - 25 - 35
7 - 2 - 6
19 - 4 - 15
22 - 9 - 11
Correct answer
50 - 25 - 35
The average of \( 8 \) numbers is \( 59 \). If each number is increased by \( 7 \), what will the new average be?
59
8
73
66
Correct answer
59
A man incurs a loss of \( 24% \) by selling an article for \( ₹171 \). If he sells it for \( ₹234 \), what will be his gain or loss percentage?
Loss, 5%
Gain, 1%
Loss, 2%
Gain, 4%
Correct answer
Loss, 5%
In an A.P., the common difference is \( -9 \) and the first term is \( 50 \). Find the 3rd term.
34
31
32
30
Correct answer
34
The volume of a cube is \( 1728 \text{ cm}^3 \). What is the surface area of the cube?
872 cm2
868 cm2
864 cm2
664 cm2
Correct answer
872 cm2
The total surface area (in \( \text{m}^2 \)) of a cube, each of whose edges measures \( 238 \text{ m} \), is:
339864
339882
339852
339834
Correct answer
339864
If \( 1 \) is added to each odd digit and \( 2 \) is subtracted from each even digit in the number \( 1325374 \), what will be difference between the highest and lowest digits in the number thus formed?
8
5
6
4
Correct answer
8
Which of the following letter-clusters should replace # and % so that the pattern and relationship followed between the letter-cluster pair on the left side of :: is the same as that on the right side of ::?
Correct answer