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General Instruction:
Please read the below instructions carefully while appearing for the online test.

1. Total number of questions to attempt is 25.
2. Total of 30 minutes duration will be given to attempt all the questions.
3. The clock has been set at the right corner of your screen will display the time remaining for you to complete the exam. When the clock runs out the exam ends by default - you are not to required to end or submit your exam.
4. The question palette at the right of screen shows one of the following statuses of each of the questions numbered.
5. Each question carries one mark.
6. No negative marking for wrong answers.
7. No negative marking for skipped questions.

Question - 1.
I multiplied a natural number by 18 and another by 21 and added the products. Which one of the following could be the sum?

Question - 2.
If p = 124, [ p(p² + 3p + 3) + 1 ]^1/3 = ?

Question - 3.
If [1 - (X³ / 100)]^{1 / 2} = 3 / 5, then X equals

Question - 4.
The product of two numbers is 45 and their difference is 4. The sim of squares of the two numbers is

Question - 5.
The square root of 14 + 6√5 is

Question - 6.
When 2³¹ is divided by 5 the remainder is

Question - 7.
The unit digit in the product (122)¹⁷³ is

Question - 8.
A child reshapes a cone made up of clay of height 24 and radius 6 cm into a sphere. The radius (in cm) of sphere is

Question - 9.
The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is

Question - 10.
A and B together can do a works in 12 days. B and C together do it in 15 days. If A's efficiency is twice that of C, then the days required for B alone to finish the work is

Question - 11.
In an equilateral triangle ABC of side 10 cm, the side BC is trisected at D. Then the length (in cm) of AD is

Question - 12.
If a / b = c / d = e / f = 3, then (2a² + 3c² + 4e²) / (2b² + 3d² + 4f²) = ?

Question - 13.
The floor of a room is of size 4m x 3m and its height is 3m. The walls and ceiling of the room require painting. The area to be painted is

Question - 14.
A hemisphere and a cone have equal bases. If their height are also equal, the ratio of there curved surface will be

Question - 15.
Find the unit digit in the product (387)²⁴⁵ x (621)⁷².

Question - 16.
If a^{1 / 3} = 11, then the value of a² - 331a is

Question - 17.
If the radius of a circle is increased by 50%, its area is increased by

Question - 18.
Marbles of diameter 1.4 cm are dropped into a cylindrical beaker containing some water and are fully submerged. The diameter of the beakers is 7 cm. Find how many marbles have been dropped in it if the water rises by 5.6 cm.

Question - 19.
Water is following at the rate of 3 km per hr through a circular pipe of 20 cm internal diameter into a circular cistern of diameter 10 m and depth 2 m. In how much time will he cistern be filled?

Question - 20.
If the difference between S.I. and C.I. for 2 years on a sum of money lent at 5% is Rs. 6, then the sum is

Question - 21.
A man sold 20 apples for Rs. 1000 and gained 20%. How many apples did he buy for Rs. 100?

Direction(22 - 25): The pie chart given below show the spending of a family on various heads during a month. Study the graph and answer the questions.

Question - 22.
If the total income of the family is Rs. 25,000 then, then the amount spent on rent and Food together is

Direction(22 - 25): The pie chart given below show the spending of a family on various heads during a month. Study the graph and answer the questions.

Question - 23.
What is the ratio of the expenses of education to the expenses on Food?

Direction(22 - 25): The pie chart given below show the spending of a family on various heads during a month. Study the graph and answer the questions.

Question - 24.
Expenditure on rent is what percent of expenditure of fuel?

Direction(22 - 25): The pie chart given below show the spending of a family on various heads during a month. Study the graph and answer the questions.

Question - 25.
Which three expenditures together have a central angle of 108?

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