Application Form for Admission in RIMC,Dehradun

Q17. The perimeter of a rectangle is 52cm. If its width is 2cm more than one-third of its length,
find the dimensions of the rectangle.
,d vk;r dk ifjeki 52 lseh- gSA ;fn bldh pkSM+kbZ bldh yEckbZ ds ,d frgkbZ ls 2 lseh- vf/kd gks rks Hkqtk,¡ Kkr
dhft,A
Q18. If 36 men can complete a work in 24 days, how many extra men be employed so as to
complete the work in 18 days?
;fn 36 vkneh ,d dke dks 24 fnu esa iwjk dj ldrs gSaA blh dke dks 18 fnu esa iwjk djus ds fy, vkSj fdrus vkneh
yxkus gksxs\
Q19. A metallic sheet is of rectangular shape of length 48cms and width 36 cms. From each of
its corners , a square of 8cms is cut off. An open box is made by folding the remaining
sheet . Find the volume of the open box ?
,d yksgs dh pn~nj dk eki 48 lseh- × 36 lseh- gSA bls izR;sd dksus ls 8 lseh- Hkqtk okys oxZ dkVs x;s gS rFkk cph gqbZ
pn~nj ls ,d [kqyk cDlk cuk;k x;k gSA bl cDls dk vk;ru Kkr dhft,A
Q20. 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 is equal to the number of columns. Find the number
of rows.
,d Ldwy esa 2401 fo|kFkhZ gSaA ‘kkjhfjd ijh{kd bu fo|kFkhZ;ksa dks iafDr;ksa ¼jks rFkk dkWye½ esa [kM+k djuk pkgrk gS ;fn iafDr
rFkk dkWye cjkcj gksa rks iafDr;ksa dh la[;k Kkr dhft,A
PART B (10 x 10 MARKS)
Q21. A circular ground has a radius of 56 m. A 7 m wide road runs on the outside around it. Find
the area of the road?
,d o`Rrkdkj eSnku dh f=T;k 56 eh- gSA ftlds ckgj dh rjQ 7 eh- pkSM+h lM+d gSA lM+d dk {ks=Qy Kkr djksA
Q22. What must be subtracted from x 3 - 6x 2 + 11x – 10 so that the resulting polynomial is
exactly divisible by x 2 – 4x +3?
x 3 - 6x 2 + 11x – 10 ls D;k ?kVk;s a fd cpk gqvk cgqin x 2 – 4x +3 ls iwjh rjg foHkkftr gks tk;\
Q23. Three prizes are to be distributed in a debating contest. The value of second prize is fivesixth
the value of the first prize and the value of the third prize is four-fifths that of the
second prize. If the total value of the three prizes is Rs 1500 , find the value of each prize?
Okknfookn izfr;ksfxrk esa rhu iqjLdkj ckaVus gS aA nwljk iqjLdkj] igys iqjLdkj dk ik¡p@NVok¡ Hkkx gSA rFkk rhljk iqjLdkj
nwljs iqjLdkj dk pkj@ik¡pok Hkkx gSA ;fn rhuksa iqjLdkjksa dk ;ksx 1500 :i;s gks rks izR;sd iqjLdkj dk ewY; Kkr dhft,A
Q24. Aman Gupta bought two TV sets for Rs 42500. He sold one at a loss of 10% and the other
at a profit of 12 %. If the selling price of each TV set is the same , determine the cost price
of each set?
veu xqIrk us :- 42500 esa nks Vhoh lsV [kjhnsA mlus ,d Vhoh dks 10% ds ?kkVs esa rFkk nwljs lsV dks 12% ds equkQs ij
cspkA ;fn izR;sd Vhoh dk foØ; ewY; cjkcj gks rks izR;sd Vhoh dk Ø; ewY; Kkr dhft,A