Maths By Sandeep Tiwari Sir
Time : 25 Min.
Mathematics Max. Marks : 20
Mock Test Paper
egŸoiw.kZ funsZ'k@(Important Instructions) - izR;sd lgh mŸkj ds fy, 1 vad fu/kkZfjr gSa vkSj xyr mŸkj ij 0.25 vad
udkjkRed vad ns; gksaxsA@1 mark are assigned for each correct answer and negative marks of 0.25 marks
will be given for each wrong answer.
1. 1420 ds xq.ku[kaMks dh la[;k Kkr dhft,&@ Find the number of factors of 1420-
(a) 12 (b) 13
(c) 14 (d) 15
2. संख्या 1233 × 3423 × 270 के गुणनखण्डं की कुल संख्या ककतनी है -/ What is the total number of factors of the
number 1233 × 3423 × 270?
(a) 4658 (b) 9316
(c) 2744 (d) None of these
3. 840 ds le xq.ku[kaM dh la[;k Kkr dhft,@Find the number of even factors of 840
(a) 24 (b) 30
(c) 35 (d) 28
4. 26×55×76×107 ds fdrus xq.ku[kaM le la[;k,¡ gSa\@How many factors of 26×55×76×107 are even numbers?
(a) 1183 (b) 1200
(c) 1050 (d) 840
5. 540 ds dqy fdrus fo"ke xq.ku[kaM gS\@Find the total no. of odd factors of 540 is
(a) 24 (b) 8
(c) 16 (d) 20
6. 20790 के अभाज्य गुणनखंड की संख्या ज्ञात करें ।/Find the number of prime factors of 20790.
(a) 7 (b) 9
(c) 11 (d) 13
7. 8 × 15 × 17 में अभाज्य गु णनखंडडं की संख्या है?/The number of prime factors in 820 × 1524 × 1715 is?
20 24 15
(a) 59 (b) 98
(c) 123 (d) 138
8. fuEufyf[kr dks lk/kkj.k fHkUu esa O;Dr djsaA @ Express the following as simple fractions.
̅̅̅̅ + 𝟎. 𝟑𝟗
𝟎. 𝟐𝟕 ̅̅̅̅ + 𝟑
5 7
(a) 3 (b) 3
3 3
1 2
(c) 3 (d) 3
3 3
9. fuEukafdr dk eku Kkr dhft,& @ Find the value of the following-
̅ ÷ 𝟎. 𝟓𝟒
2.𝟑𝟖 ̅
19 29
(a) 4 (b) 6 57
49
17 26
(c) 3 (d) 5
21 51
𝟏 𝟏
𝟑+ 𝟏 𝟑+ 𝟏
𝟑−𝟑 𝟗 𝟗 𝟑−𝟑 𝟗 𝟗
10. 𝟏 − 𝟐𝟓 dk dk gy djus ij ifj.kke vkrk gS&/The result of solving 𝟏 − 𝟐𝟓 of is:
𝟓+ 𝟏 𝟓 𝟓+ 𝟏 𝟓
𝟓− 𝟓−
𝟓 𝟓
(a) 0 (b) 1
81 74
(c) 125 (d) 2125
11. fdlh f=Hkqt ds rhuksa “kh’kksZa ls foijhr Hkqtkvksa ij Mkys x;s yEcksa dk izfrPNsn fcUnq ml f=Hkqt dk dkSu&lk dsUnz gS\@Which
center of a triangle is the intersection point of the perpendiculars drawn from the three vertices
to the opposite sides?
(a) dsUnzd @ nucleus (b) yEc&dsUnz @ perpendicular center
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Maths By Sandeep Tiwari Sir
(c) vUr%dsUnz @ bounded center (d) ifjdsUnz @ circumcentre
12. fdlh f=Hkqt ds rhuksa “kh’kksZa ls [khaps x;s dks.kksa ds lef}Hkktdksa dk izfrPNsn fcUnq ml f=Hkqt dk dkSu&lk dsUnz gS\@Which
center of a triangle is the intersection point of the angle bisectors drawn from the three vertices
of that triangle?
(a) dsUnzd@ nucleus (b) yEc dsUnz @ perpendicular center
(c) ifjdsUnz @ circumcentre (d) vUr% dsUnz @ bounded center
13. एक आयताकार खेत की एक भुजा 39 मी. है और इसका किकणण 89 मी. है । खेत का क्षेत्रफल ज्ञात कीकजए ?
One side of a rectangular field is 39 m and its diagonal is 89 m. What is the area of the field?
(a) 2100 मी.2 (b) 3140 मी.2
(c) 3120 मी.2 (d) 2160 मी.2
14. ,d lekUrj prqHkqZt esa layXu Hkqtkvksa dh yEckbZ Øe'k% 11 ,oa 13 ehVj gS] ;fn ,d fod.kZ 16 ehVj gS] rc nwljs
fod.kZ dh yEckbZ gS&/In a parallelogram, the lengths of the adjacent sides are 11 and 13 meters
respectively, if one diagonal is 16 meters, then the length of the other diagonal is-
143
(a) 16 m (b) 16 m
(c) 18 m (d) 15 m
15. ,d f=Hkqt dh Hkqtk,a 56 lseh-] 90 lseh vkSj 106 lseh gSaA blds ifjo`Ùk dh ifjf/k Kkr djsa&@The sides of a triangle
are 56cm, 90cm and 106cm. Find the circumference of its circumcircle-
(a) 106 (b) 109
(c) 108 (d) 112
16. िृत्त की कत्रज्या का माप क्या है , जड एक ऐसा कत्रकडण बनाती है , कजसकी भुजाओं का माप 8 इकाईयां, 15 इकाईयां
और 17 इकाईयां हैं ? / What is the measure of the radius of the circle which forms a triangle
whose sides measure 8 units, 15 units and 17 units?
(a) 17 units (b) 10.5 units
(c) 8.5 units (d) 9 units
𝟐𝟐
17. 42 lseh- dh Hkqtk okys leckgq f=Hkqt ds vUr%o`Rr dk {ks=Qy gksxk& ¼ 𝛑 = eku yhft, ½
𝟕
𝟐𝟐
42 cm The area of the incircle of an equilateral triangle of side (Take 𝛑 = )
𝟕
(a) 231 lseh-2 (b) 462 lseh-2
(c) 22√3 lseh-3 (d) 924 lseh-2
𝟐𝟐
18. 21 lseh- Hkqtk okys oxZ ds vanj [khaps tk ldus okys cM+s ls cM+s o`Rr dk {ks=Qy ¼𝛑 = yhft,½ gSA@21 cm Area
𝟕
𝟐𝟐
of the largest circle that can be drawn inside a square with side. (Take 𝛑 = )
𝟕
(a) 344.5 oxZ lseh- (b) 364.5 oxZ lseh-
(c) 346.5 oxZ lseh- (d) 366. 5 oxZ lseh-
19. fdlh leckgq f=Hkqt ds varxZr vf/kdre {ks=Qy dk ,d o`Rr [khapk x;k gS ftldk {ks=Qy 842 oxZ lseh- gS] rks mlds
'kh"kks± ls gksdj xqtjus okys o`Rr dk {ks=Qy fdruk gksxk\@ A circle of maximum area is drawn inside an
equilateral triangle whose area is 842 sq cm. then what will be the area of the circle passing
through its vertices?
(a) 3242 oxZ lseh- (b) 3362 oxZ lseh-
(c) 2368 oxZ lseh- (d) 3368 oxZ lseh-
20. leckgq f=Hkqt ds ifjf=T;k rFkk vUr%f=T;k dk vuqikr Kkr dhft,&@ Find the ratio of circumradius and
inradius of an equilateral triangle.
(a) √2 : 1 (b) √3 : 1
(c) 2 : 1 (d) 3:1
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