Mathematical Skills Test

Question 1
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The ratio of the selling prices of two articles is 2 : 3. The first article is sold at a profit of 20% and the second at a loss of 20%. What is the overall profit or loss percentage?

A
$\frac{100}{13} %$ Profit

B
$\frac{100}{11} %$ Loss

C
$\frac{100}{11} %$ Profit

D
$\frac{100}{13} %$ Loss

Question 2
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If Simple interest on Rs. $1725$ in $4$ years is Rs. $897$, then find the rate of interest.

A
$10 \%$

B
$13 \%$

C
$25 \%$

D
$20 \%$

Question 3
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A, B and C invested Rs. ___, Rs. ___ and Rs. 40000 in a business respectively. After 6 months, they again invested Rs. 20000, Rs. 25000 and Rs. 20000 respectively. At the end of the year, they received Rs. 3600, Rs. 4050 and Rs. 3000 respectively as their profit shares.

Which of the following option satisfies the two blanks in the question?

A. 35000, 40000

B. 40000, 45000

C. 45000, 50000

D. 50000, 55000

A
Only A

B
Only B

C
Only C

D
Only D

Question 4
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A person makes a profit of 20% by selling an article. If he purchased the articles at 20% less and sell it 10% more, what would be the new profit percentage?

A
65%

B
8%

C
15%

D
20%

Question 5
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Probability to solve a certain problem by Pragati and Tripti are respectively $\frac{1}{3}$ and $\frac{1}{2}$. The probability that the problem will be solved is:

A
$\frac{1}{2}$

B
$\frac{1}{3}$

C
$\frac{2}{3}$

D
$\frac{1}{6}$

Question 6
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Pipe A can fill a tank in 24 hours. When it works together with Pipe B which is an outlet pipe, the tank gets filled in 36 hours. In how many hours pipe B can empty the same tank independently?

A
64 hours

B
56 hours

C
72 hours

D
73 hours

Question 7
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If a point $\mathrm{P}(\mathrm{x}, \mathrm{y})$ is equidistant to the points $\mathrm{A}(3,4)$ and $\mathrm{B}(5,3)$. Then which of the following is true ?

A
$x+y=3$

B
$2 x-4 y=7$

C
$4 x-2 y=9$

D
None of the above

Question 8
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Two pipes A and B can fill a cistern in 24 hours and 32 hours respectively. If both pipes are opened simultaneously, find out when the pipe A must be turned off so that the cistern can be filled in exactly 16 hours?

A
$14$ hr

B
$8$ hr

C
$6$ hr

D
$12$ hr

Question 9
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If an event $\mathrm{B}$ has occurred and has $\mathrm{P}(\mathrm{B})=1$, the conditional probability $\mathrm{P}(\mathrm{A} \mid \mathrm{B})$ is equal to:

A
$0$

B
$\mathrm{P}(\mathrm{A})$

C
$\mathrm{P}(\mathrm{B})$

D
$1$

Question 10
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In an examination it is required to get 290 of the aggregate marks to pass. A student gets 203 marks and is declared failed by 12% of total marks, what are the maximum aggregate marks a student can get?

A
775

B
750

C
725

D
730

Submit Test

Mathematical Sk...

Question 1

10013% Profit

10011% Loss

10011% Profit

10013% Loss

Question 2

\(10 \%\)

\(13 \%\)

\(25 \%\)

\(20 \%\)

Question 3

Only A

Only B

Only C

Only D

Question 4

65%

8%

15%

20%

Question 5

\(\frac{1}{2}\)

\(\frac{1}{3}\)

\(\frac{2}{3}\)

\(\frac{1}{6}\)

Question 6

64 hours

56 hours

72 hours

73 hours

Question 7

\(x+y=3\)

\(2 x-4 y=7\)

\(4 x-2 y=9\)

None of the above

Question 8

\(14\) hr

\(8\) hr

\(6\) hr

\(12\) hr

Question 9

\(0\)

\(\mathrm{P}(\mathrm{A})\)

\(\mathrm{P}(\mathrm{B})\)

\(1\)

Question 10

775

750

725

730

User

Question Analysis

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$\frac{100}{13} %$ Profit

$\frac{100}{11} %$ Loss

$\frac{100}{11} %$ Profit

$\frac{100}{13} %$ Loss