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Application Form for Admission in RIMC,Dehradun

Application Form for Admission in RIMC,Dehradun

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RASHTRIYA INDIAN MILITARY COLLEGE, DEHRADUN<br />

ENTRANCE EXAMINATION – JUN 2012<br />

SUBJECT: MATHEMATICS<br />

TIME: 1Hr 30 M<strong>in</strong>s MM: 200<br />

Instructions:<br />

funsZ'k%<br />

1. Attempt all 30 questions. Write your answers separately on the answer sheet to be<br />

provided at the exam Centre.<br />

lHkh 30 Á’uksa dks gy dhft,A vius mRrj vyx mRrj iqfLrdk ij fyf[k, tks vkidks ijh{kk d{k esa nh tk;sxhA<br />

2. Part ‘A’ conta<strong>in</strong>s 20 questions and each question <strong>in</strong> this part carries five marks.<br />

Hkkx ^d* ds lHkh Á’u ikWp vadksa ds gS vkSj blesa dqy 20 Á’u gSA<br />

3. Part ‘B’ conta<strong>in</strong>s 10 questions and each question <strong>in</strong> this part carries ten marks.<br />

Hkkx ^[k* ds lHkh Á’u nl vadksa ds gS vkSj blesa dqy 10 Á’u gS aA<br />

4. Use of Calculator is Prohibited.<br />

dsYdqysVj dk iz;ksx djuk l[r euk gSA<br />

5. Take the value of π as 22/7.<br />

π dk eku 22@7 fyft,A<br />

PART A (20 X 5 =100 MARKS)<br />

Q1. Fill <strong>in</strong> the blanks where question mark is placed :- iz’u fpºuksa dkss Hkjks%&<br />

(a) 2/3 = ?/135 (b) 5/? = 90/216<br />

Q2. Evaluate/ ewY;kadu dhft,%& (x-1) (x+1)(x+3)<br />

Q3. What will be 60% of a number whose 200% is 90 ?<br />

fdl la[;k dk 60% mruk gksxk ftldk 200%] 90 gS\<br />

Q4. The area of two circles are <strong>in</strong> the ratio of 4:9 . F<strong>in</strong>d the ratio of their radii?<br />

nks o`Rrksa dk {ks=Qy 4%9 vuqikr esa gks mudh f=T;kvks dk vuqikr Kkr dhft,\<br />

Q5. In a parallelogram if one angle is 70 0 f<strong>in</strong>d all the other angles?<br />

lekUrj prqHkqZt dk ,d dks.k 70 0 gS] ckdh ds lHkh dks.kksa dk eku Kkr dhft,\<br />

Q6. Factorize/ xq.ku[k.M djksA (25a 2 +c 2 +10ac) – 49 b 2<br />

Q7 What is the smallest number by which 3087 must be divided so that the quotient is a<br />

perfect cube?<br />

NksVh la[;k Kkr dhft, ftlls 3087 dks iwjh rjg Hkkx nsus ij HkkxQy iw.kZ ?ku gks\

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