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Browse complete papersA solid metallic sphere of radius 21 cm is melted and recast into a cone with base radius 14 cm and a cylinder with radius 7 cm. If the heights of the cone and cylinder are equal, what is their common height?
108 cm
105 cm
104 cm
106 cm
Correct answer
108 cm
If x is inversely proportional to y, and y = 21 when x = 30, find the value of x, when y = 5.5850
135
126
117
129
Correct answer
135
The simplified value of 52 - [71 - (66 ÷ 6 - (13 - 28 ÷ 7) ÷ 5)] is:
\(-\frac{56}{5}\)
\(-\frac{52}{5}\)
\(-\frac{49}{5}\)
\(-\frac{48}{5}\)
Correct answer
\(-\frac{56}{5}\)
The value of \(\frac{1}{8}+\frac{5}{8}+\frac{2}{16}+\frac{3}{8} - 2\) is
\(-\frac{9}{16}\)
\(-\frac{1}{16}\)
\(-\frac{3}{4}\)
\(-\frac{7}{16}\)
Correct answer
\(-\frac{9}{16}\)
A smartphone is offered with two successive discounts of 20% and 10%. If the marked price is ₹25,000, then what is the final selling price?
₹19,000
₹17,500
₹18,500
₹18,000
Correct answer
₹19,000
In the following series, only one letter-cluster is incorrect. Select the INCORRECT letter-cluster.
WQK AUO EYS ICW MGA QKC
ICW
EYS
QKC
MGA
Correct answer
ICW
Find the fourth proportional to \( \frac{1}{3} \), \( \frac{1}{4} \) and \( \frac{1}{5} \).
\( \frac{5}{21} \)
\( \frac{5}{12} \)
\( \frac{3}{20} \)
\( \frac{4}{15} \)
Correct answer
\( \frac{5}{21} \)
In the following series, only one letter-cluster is incorrect. Select the INCORRECT letter-cluster.
YDI EJO KPO QVA WBG CHM
KPO
EJO
QVA
WBG
Correct answer
KPO
A right circular cone and a right circular cylinder have equal base and equal height. If the radius of the base and the height are in the ratio 12 : 5, then the ratio of the total surface area of the cylinder to that of the cone is:
33 : 26
34 : 25
35 : 24
29 : 21
Correct answer
33 : 26
In a certain code language, ‘CUTE’ is coded as ‘7624’ and ‘SOUP’ is coded as ‘1357’. What is the code for ‘U’ in the given code language?
3
6
7
5
Correct answer
3