RIMC June 2014 Mathematics- Entrance Exam paper
2104 June Mathematics RIMC Entrance Examination
Part A (20 x 5 = 100 Marks)
Q.1. Divide the sum of -13/ 5 and 12/ 7 by the product of
-31 / 7 and -1/2.
Q.2. Find “X” if, 
Q.3. 
.
.
Q.4. The ages of Prasad and Pinku are in the ratio of 5 :
7. After 5 years the ratio of their
ages will be 5 : 6. Find their present ages?
Q.5. Find the smallest perfect square number which is
divisible by each of the numbers 6,9, and 15.
Q.6. There are 2401 students in a school. The P.T. teacher wants them to stand in rows
and columns such that the number of rows equals the number of columns. Find the number of rows?
Q.7. A train 360 m long is running at a speed of 45 km/hr.
How much time will it take to cross a platform 140 m long?
Q.8. Pramod has 3 times as many 2 rupee coin as he has 5
rupee coins. If in all he has a total of
Rs. 77, how many coins of each denomination does he have?
Q.9, The length and breadth of a park are in the ratio 3 : 1
and its perimeter is 320m. A path 2 m wide runs inside it. Find the cost of paving the path at Rs. 3 /
sq.m.
Q.10. Two adjacent angles of a parallelogram are in the
ratio of 2 : 3. Find the measure of all
the angles of the parallelogram.
Q.11. Factorize 225x² + y²- 30xy -36z²
Q.12. Find the value of(5a ⁶) x-(-10ab²) x (-2.1a²b³), if a
= 1.5 and b = 0.5.
Q.13. Calculate the measure of each lettered angle in the
given figure where AB = AC.
Q.14. If the wages of 15 labourers for 6 days are Rs. 7200,
find the wages of 23 labourers for 5 days.
Q.15 At what rate percent of interest per annum will a sum
of money doble in 8 years?
Q.1 6. The ratio of volumes of two spheres is 1 : 8. Find the ratio of their surface areas.
Q.17. Solve the equation
Q.18. Find three rational numbers between 1/3 and 1/6
Q.19. Three cubes of sides 3 cm, 4 cm and 5 cm are melted to
make new cube. Find the volume of the
new cube.
Q.20. Mahesh took a test which had 20 questions. The total Grade was computed by awarding 10
points for each correct answer and deducting 5 points for every wrong
answer. He answered all 20 questions and
obtained a score of 125 points. How many wrong answers did he have?
Part B (10 x 10 Marks)
Q.21, Express 
as a fraction in its
simplest form.
as a fraction in its
simplest form.
Q.22. Divide Rs. 2324
among Balvir, Brijesh and Nalini in the ratio
Q.23. The digits of a two digit number differ by 3. If the digits are interchanged, and the
resulting number is added to the original number, we get 143. What is the original number?
Q.24. A and B together can do a piece of work in 20 days, B
and C together can do it in 15 days, C and A together can do it in 12
days. How long will they take to finish
the work, working all together? How long
would each take to do the same work?
Q.25.In the given figure, the pie chart shows the marks
obtained by a student in the NDA entrance exam.
If the student secures 440 marks in all, calculate his marks in each of
the given subjects.
|
Hindi 54°
|
English 72°
|
Maths 108 °
|
Science 81 °
|
|
SST 45 °
|
|
|
|
Q.26. Using ruler
and compass only, construct a quadrilateral MEST, where ME = 3.5 cm, ES = 6.5
cm Angle M = 75°, Angle E = 105 ° and
Angle S = 120 °
Q.27. Given that the number 
is divisible by 11,
Where ‘a’ is some digit what are the possible values of “a”?
is divisible by 11,
Where ‘a’ is some digit what are the possible values of “a”?
Q.28. The thickness of metallic tube is 1 cm and the inner
diameter of the tube is 12 cm. Find the
weight of 1 m long tube, if the density of the metal Is 7.8 gm/cm³
Q.29. Wasim sold his watch at 10 % loss. If he had sold it for Rs. 54 more then he
would have made 8% profit. Find the
selling price of the watch.
Q.30. Divide 10 x⁴
-19x³-32x² -4x + 3 by 5x² + 3x – 1.
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