Railway Exam Guide Visit

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1 Click to Print logout Challenges REGISTRATION NUMBER : KnowledgePhilic.com EXAM DATE : 9-March-2018 EXAM NAME : SSC Examination TOTAL MARKS : 200 CANDIDATE NAME : KnowledgePhilic.com EXAM START TIME : 10:30:00 EXAM DURATION : 02:00 Hrs TOTAL NO OF QUESTIONS : 100 QID : How many two digit prime numbers are there between 10 to 100 which remains prime numbers when the order of their digits is reversed? 10 स 100 क ब च द अ क क ऐस कतन अभ य स य ह जनक अ क क म क पलटन पर भ व एक अभ य स य ह रहग? 1) 8 2) 9 3) 10 4) 12 Correct Answer: 9 QID : How many perfect cubes are there between 1 and which are divisible by 7? 1 स क ब च कतन प ण घन ह ज 7 स वभ जत ह? 1) 5 2) 6 3) 7 4) 15 Correct Answer: 6 QID : If A = and B = , then what is the value of (A + B)/AB? य द A = तथ B = ह, त (A + B)/AB क म न य ह? 1) 10 2) 11 3) 12 4) 13 Correct Answer: 13 QID : If A = 0.abcabc, then by what number A should be multiplied so as to get an integeral value? य द A = 0.abcabc ह, त A क कस स य स ग ण कय ज ए त क एक प ण क म न त ह? 1) ) ) ) Both 2997 and तथ 1998 द न Correct Answer: Both 2997 and तथ 1998 द न QID : 405-1) 12410/21 2) 12412/21 3) 12433/21 4) 1179/2 Correct Answer: 12410/21 Candidate Answer: 12410/21

2 QID : If (1/2 1 ) + (1/2 2 ) + (1/2 3 ) (1/2 10 ) = 1/k, then what is the value of k? य द (1/2 1 ) + (1/2 2 ) + (1/2 3 ) (1/2 10 ) = 1/k ह, त k क म न य ह? 1) 512/511 2) 1024/1023 3) 511/512 4) 1023/1024 Correct Answer: 1024/1023 Candidate Answer: 1024/1023 QID : 407-1) Only I क वल I 2) Only II क वल II 3) Neither I nor II न त I न ह II 4) Both I and II I तथ II द न Correct Answer: Only I क वल I Candidate Answer: Both I and II I तथ II द न QID : Which of the following statement(s) is/are TRUE? I. Highest common factor of ( ) and ( ) is 4 II. (4 84 1) is exactly divisible by 5 न न ल खत म स क न स /स कथन स य ह /ह? I. ( ) तथ ( ) क मह म सम पवतक 4 ह II. (4 84 1), 5 स प णत वभ जत ह 1) Only I क वल I 2) Only II क वल II 3) Neither I nor II न त I न ह II 4) Both I and II I तथ II द न Correct Answer: Only II क वल II Candidate Answer: Both I and II I तथ II द न QID : Which of the following statement(s) is/are TRUE? I is exactly divisible by 5. II > न न ल खत म स क न स /स कथन स य ह /ह? I , 5 स प णत वभ जत ह II > 17 14

3 1) Only I क वल I 2) Only II क वल II 3) Neither I nor II न त I न ह II 4) Both I and II I तथ II द न Correct Answer: Only I क वल I QID : N = and N are exactly divisible by two numbers between 60 and 70. What is the sum of those two numbers? N = तथ N, 60 तथ 70 क ब च द स य स प णत वभ जत ह उन द स य क य ग य ह? 1) 128 2) 256 3) 64 4) 512 Correct Answer: 128 QID : 411-1) Only I क वल I 2) Only II क वल II 3) Neither I nor II न त I न ह II 4) Both I and II I तथ II द न Correct Answer: Only II क वल II Candidate Answer: Only II क वल II QID : Which of the following statement(s) is/are TRUE? I > 10 II. (10) + (12) + (14) > 3 (12) न न ल खत म स क न स /स कथन स य ह /ह? I > 10 II. (10) + (12) + (14) > 3 (12) 1) Only I क वल I 2) Only II क वल II 3) Neither I nor II न त I न ह II 4) Both I and II I तथ II द न Correct Answer: Only I क वल I Candidate Answer: Both I and II I तथ II द न

4 QID : If y 2 = y + 7, then what is the value of y 3? य द y 2 = y + 7 ह, त y 3 क म न य ह? 1) 8 y + 7 2) y ) y + 2 4) 4 y + 7 Correct Answer: 8 y + 7 Candidate Answer: 8 y + 7 QID : If f(x) = (x 2)(x 2 + Px + 4) and (x 3) is a factor of f(x), then what is the value of P? य द f(x) = (x 2)(x2 + Px + 4) तथ (x 3) f(x) क ग णनख ड ह, त P क म न य ह? 1) 4 2) 4 3) 13/3 4) 13/3 Correct Answer: 13/3 QID : If [x (1/x)] = 2, then what is the value of [x 6 (1/x 6 )]? य द [x (1/x)] = 2 ह, त [x 6 (1/x 6 )] क म न य ह? 1) ) ) ) Correct Answer: QID : x, y and z all are positive number. If 3 x > 9 y and 2 y > 4 z, then which of the following is TRUE? x, y तथ z सभ धन मक स य ह य द 3 x > 9 y तथ 2 y > 4 z ह, त न न ल खत म स क न स य ह? 1) x > y > z 2) x > z > y 3) z > y > x 4) y > x > z Correct Answer: x > y > z Candidate Answer: x > y > z QID : If x = (1/8), which of the following has the largest values? य द x = (1/8) ह, त न न ल खत म स कसक म न सबस बड़ ह? 1) x/2 2) x 2 3) x 4) 1/ x Correct Answer: 1/ x Candidate Answer: 1/ x QID : 418 -

5 1) ( )/4 2) ( )/4 3) ( )/4 4) ( )/4 Correct Answer: ( )/4 QID : If P = , Q = , R = and S = , then which of the following is TRUE? य द P = , Q = , R = तथ S = ह, त न न ल खत म स क न स य ह? 1) P > S > R > Q 2) S > P > R > Q 3) P > R > S > Q 4) S > P > Q > R Correct Answer: P > S > R > Q QID : If A = 125 and B = 8, then what is the value of (A + B) 3 (A B) 3 6B(A 2 B 2 )? य द A = 125 तथ B = 8 ह, त (A + B) 3 (A B) 3 6B(A 2 B 2 ) क म न य ह? 1) ) ) ) 3456 Correct Answer: 4096 QID : 421-1) 18 2) 15 3) 12 4) 5 Correct Answer: 5 QID : 422-1) 163/3 2) 143/6 3) 218/9 4) 311/3 Correct Answer: 163/3

6 QID : If sides of a triangle are 12 cm, 15 cm and 21 cm, then what is the inradius (in cm) of the triangle? य द एक भ ज क भ ज ए 12 स.म., 15 स.म. तथ 21 स.म. ह, त भ ज क अ त य (स.म. म) य ह? 1) (5 3)/2 2) 4 3 3) (3 6)/2 4) 3 3 Correct Answer: (3 6)/2 Candidate Answer: (3 6)/2 QID : In a triangle ABC, AB = 12, BC = 18 and AC = 15. The medians AX and BY intersect sides BC and AC at X and Y respectively. If AX and BX intersect each other at O, then what is the value of OX? एक भ ज ABC म, AB = 12, BC = 18 तथ AC = 15 ह म य र ख AX तथ BY, भ ज BC तथ AC क मश X तथ Y पर त छ द करत ह य द AX तथ BY, O पर त छ दन करत ह, त OX क म न य ह? 1) ) 23 3) ) ( 23)/( 2) Correct Answer: ( 23)/( 2) QID : In a triangle PQR, PX bisects QR. PX is the angle bisector of angle P. If PQ = 12 cm and QX = 3 cm, then what is the area (in cm 2 ) of triangle PQR? एक भ ज PQR म, PX, QR क भ जक ह PX, क ण P क भ जक ह य द PQ = 12 स.म. तथ QX = 3 स.म. ह, त भ ज PQR क फल (स.म. 2 म) य ह? 1) ) ) ) 9 15 Correct Answer: 9 15 QID : 426-1) 12 2) 10 3) 20 4) 30 Correct Answer: 20 QID : PQ and RS are two chords of a circle. PQ = 20 cm, RS = 48 cm and PQ is parallel to RS. If the distance between PQ and RS is 34 cm, then what is the area (in cm 2 ) of the circle? PQ तथ RS एक व क द ज व ए ह PQ = 20 स.म., RS = 48 स.म. तथ PQ, RS क सम न तर ह य द PQ तथ RS क म य र 34 स.म. ह, त व क फल (स.म. 2 म) य ह? 1) 729π 2) 900π 3) 676π 4) 784π

7 Correct Answer: 676π QID : Centre of two concentric circles is O. The area of two circles is 616 cm 2 and 154 cm 2 respectively. A tangent is drawn through point A on the larger circle to the smaller circle. This tangent touches small circle at B and intersects larger circle at C. What is the length (in cm) of AC? द स क त व क क O ह द न व क फल 616 स.म. 2 तथ 154 स.म. 2 ह बड़ व क ब A स छ ट व पर एक पश र ख ख च गई ह यह पश र ख छ ट व क ब B पर पश करत ह तथ बड़ व क ब C पर त छ द करत ह AC क ल ब ई (स.म. म) य ह? 1) ) ) ) 18 2 Correct Answer: 14 3 QID : PA and PB are two tangents drawn to two circles of radius 3 cm and 5 cm respectively. PA touches the smaller and larger circles at points X and Y respectively. PB touches the smaller and large circle at point U and V respectively. The centres of the smaller and larger circles O and N respectively. If ON = 12 cm, then what is the value (in cm) of PY? PA तथ PB मश 3 स.म. तथ 5 स.म. व ल द व पर पश र ख ए बन ई गई ह PA छ ट तथ बड़ व क मश X तथ Y ब पर पश करत ह PB छ ट तथ बड़ व क मश U तथ V ब पर पश करत ह O तथ N मश छ ट तथ बड़ व क क ह य द ON = 12 स.म. ह, त PY क म न (स.म. म) य ह? 1) ) ) ) 12 5 Correct Answer: 5 35 Candidate Answer: 5 35 QID : 430-1) 80 2) 70 3) 60 4) 40 Correct Answer: 60

8 QID : 431-1) 80 2) 30 3) 40 4) 50 Correct Answer: 50 Candidate Answer: 50 QID : The distance between the centres of two circles is 24 cm. If the radius of the two circles are 4 cm and 8 cm, then what is the sum of the lengths (in cm) of the direct common tangent and the transverse common tangent? द व क क क म य क र 24 स.म. ह य द द व क य 4 स.म. तथ 8 स.म. ह, त उभय न अन पश र ख तथ तयक उभय न अन पश र ख क ल ब ई (स.म. म) क य ग य ह? 1) 4( ) 2) 4( ) 3) 4( ) 4) 4 3( ) Correct Answer: 4( ) Candidate Answer: 4( ) QID : ABC is triangle. AB = 10 cm and BC = 16 cm. AD = 8 cm and is perpendicular to side BC. What is the length (in cm) of side AC? ABC एक भ ज ह AB = 10 स.म. तथ BC = 16 स.म. ह AD = 8 स.म. ह तथ यह भ ज BC क स ल ब ह भ ज AC क म न (स.म. म) य ह? 1) ) ) ) 4 82 Correct Answer: 2 41 Candidate Answer: 2 41 QID : An equilateral triangle of side 12 cm is drawn. What is the area (in cm 2 ) of the largest square which can be drawn inside it? 12 स.म. भ ज व ल एक समब भ ज बन य गय इसम बन य ज सकन व ल सबस बड़ वग क फल (स.म. 2 म) य ह? 1) ) ) ) Correct Answer: QID : PQRS is a rectangle. The ratio of the sides PQ and QR is 3 : 1. If the length of the diagonal PR is 10 cm, then what is the area (in cm 2 ) of the rectangle? PQRS एक आयत ह भ ज PQ तथ QR क अन प त 3 : 1 ह य द वकण PR क ल ब ई 10 स.म. ह, त आयत क फल (स.म. 2 म) य ह 1) 15 2) 30 3) 45 4) 20 Correct Answer: 30 Candidate Answer: 30 QID : ABCDEF is a regular hexagon. What is the ratio of the area of triangle ACE and area of triangle AEF? ABCDEF एक सम षटभ ज ह भ ज ACE क फल तथ भ ज AEF क फल क अन प त य ह?

9 1) 6 : 1 2) 4 : 1 3) 3 : 1 4) 5 : 1 Correct Answer: 3 : 1 Candidate Answer: 3 : 1 QID : ABCD is a trapezium. Sides AB and CD are parallel to each other. AB = 6 cm, CD = 18 cm, BC = 8 cm and AD = 12 cm. A line parallel to AB divides the trapezium in two parts of equal perimeter. This line cuts BC at E and AD at F. If BE/EC = AF/FD, than what is the value of BE/EC? ABCD एक स ल ब ह भ ज ए AB तथ CD एक सर क सम तर ह AB = 6 स.म., CD = 18 स.म., BC = 8 स.म. तथ AD = 12 स.म. ह AB क सम तर एक र ख स ल ब क द बर बर प रम प व ल ह स म क टत ह यह र ख भ ज BC क E पर तथ AD क F पर क टत ह य द BE/EC = AF/FD ह, त BE/EC क म न य ह? 1) 1/2 2) 2 3) 4 4) 1/4 Correct Answer: 4 QID : A rectangular sheet of length 42 cm and breadth 14 cm is cut from a circular sheet. What is the minimum area (in cm 2 ) of circular sheet? एक व क र च दर स स 42 स.म. ल ब तथ 14 स.म. च ड़ एक आयत क र च दर क ट गई ह व क र च दर क फल (स.म. 2 म) कम स कम य ह? 1) ) ) 770 4) 1030 Correct Answer: 1540 Candidate Answer: 770 QID : 439-1) ( ) : 1 2) ( ) : 4 3) (7 4 3) : 8 4) (18 3) : 2 Correct Answer: ( ) : 4

10 QID : 440-1) ) ) ) Correct Answer: QID : Four identical cones each of radius 10.5 cm and height 14 cm are cut from a cuboid of dimensions 30 cm 32 cm 40 cm (base of each cone lies on the surface of cuboid). What is the total surface area (in cm 2 ) of the remaining solid? 10.5 स.म. य तथ 14 स.म. ऊ च ई व ल च र सम न श क क एक घन भ म स क ट गय ह जसक आय म 30 स.म. 32 स.म. 40 स.म. ह ( य क श क क आध र घन भ क सतह पर ह ) बच ए ठ स क क ल प य फल (स.म. 2 म) य ह? 1) ) ) ) 6824 Correct Answer: 7804 QID : A hollow cylinder of thickness 0.7 cm and height 15 cm is made of iron. If inner radius of cylinder is 3.5 cm, then what is the total surface area (in cm 2 ) of the hollow cylinder? एक ल ह स बन ख ल ब लन क च ड़ ई 0.7 स.म. तथ ऊ च ई 15 स.म. ह य द ब लन क आ त रक 1) ) ) ) Correct Answer: Candidate Answer: य 3.5 स.म. ह, त ख ल ब लन क क ल प य फल (स.म. 2 म) य ह? QID : A hollow cylinder has height 90 cm and the outer curved surface area is cm 2. It can hold cm 3 of air inside it. What is the thickness (in cm) of this cylinder? एक ख ल ब लन क ऊ च ई 90 स.म. तथ ब ह य क प य फल स.म. 2 ह यह स.म. 3 व य अपन अ दर रख सकत ह ब लन क म ट ई (स.म. म) य ह? 1) ) 14 3) 7 4) 3.5 Correct Answer: 7

11 QID : A hollow sphere is melted to form small identicall hollow spheres. Inner and outer radius of the bigger sphere are 4 cm and 6 cm respectively. If inner and outer radii of the smaller sphere are 2 cm and 3 cm respectively, then how many smaller spheres can be formed? एक ख ल ग ल क पघल कर सम न ख ल छ ट ग ल बन ए गए ह बड़ ग ल क आ त रक तथ ब य मश 4 स.म. तथ 6 स.म. ह य द छ ट ग ल क आ त रक तथ ब य मश 2 स.म. तथ 3 स.म. ह, त कतन छ ट ग ल बन सकत ह? 1) 4 2) 8 3) 6 4) 12 Correct Answer: 8 Candidate Answer: 8 QID : A hemispherical dome is open from its base and is made of iron. Thickness of dome is 3.5 meter. Total cost of painting domes outer curved surface is Rs If the rate of painting is Rs 8 per meter 2, then what is the volume (in meter 3 ) of iron used in making dome? एक अधग ल क र ग बद अपन आध र स ख ल ह तथ ल ह बन स ह ग बद क म ट ई 3.5 म टर ह ग बद क ब हर क व य सतह क पट करन म क ल 2464 क खच ह त ह य द प टग क दर 8 त म टर 2 ह, त ग बद क बन न म य ग ए ल ह क आयतन (म टर 3 म) य ह ग? 1) ) ) ) Correct Answer: QID : A solid cuboid has dimensions 14 cm 18 cm 24 cm. A hemisphere of radius 3.5 cm is cut from the centre of each face of cuboid. What is the total surface area (in cm 2 )of the remaining solid? एक ठ स घन भ क आय म 14 स.म. 18 स.म. 24 स.म. ह घन भ क य क सतह क क स 3.5 स.म. य व ल एक अधग ल क ट गय श ष ठ स क क ल प य फल (स.म. 2 म) य ह ग? 1) ) ) ) 2271 Correct Answer: 2271 QID : A right pyramid with square base has side of base 12 cm and height 40 cm. It is kept on its base. It is cut into 4 parts of equal heights by 3 cuts parallel to its base. What is the ratio of volume of the four parts? एक वग आध र व ल पर मड क आध र क भ ज 12 स.म. तथ ऊ च ई 40 स.म. ह इस इसक आध र पर रख गय ह इस 3 कट व स इसक आध र क सम तर बर बर ऊ च ई व ल 4 भ ग म क ट गय च र भ ग क आयतन क अन प त य ह? 1) 1 : 8 : 27 : 70 2) 1 : 7 : 19 : 47 3) 1 : 7 : 19 : 37 4) 1 : 8 : 27 : 64 Correct Answer: 1 : 7 : 19 : 37 Candidate Answer: 1 : 7 : 19 : 37 QID : What is the value of 2 sin 15 cos 15 4 sin 3 15 cos 15? 2 sin 15 cos 15 4 sin 3 15 cos 15 क म न य ह? 1) 3/ 2 2) 3/2 3) 3/4 4) 1/2 Correct Answer: 3/4 QID : If sin x = 1/2 and sin y = 2/3, then what is the value of [(6 cos 2 x 4 cos 4 x)/(18 cos 2 y 27 cos 4 y)]? य द sin x = 1/2 तथ sin y = 2/3 ह, त [(6 cos 2 x 4 cos 4 x)/(18 cos 2 y 27 cos 4 y)] क म न य ह? 1) 27/20 2) 15/14 3) 25/21 4) 17/14 Correct Answer: 27/20 QID : What is the value of cos 15 o + cos 105 o? cos 15 o + cos 105 o क म न य ह?

12 1) 3 2) 1/ 2 3) 3/2 4) 1/ 3 Correct Answer: 1/ 2 Candidate Answer: 1/ 2 QID : If sin (A B) = 1/2 and cos (A + B) = 1/2, then what is the value of sin A cos A + sin 2 A sin B cos B + cos 3 A cos B tan A? य द sin (A B) = 1/2 तथ cos (A + B) = 1/2 ह, त sin A cos A + sin 2 A sin B cos B + cos 3 A cos B tan A क म न य ह? 1) 1/2 2) 3/4 3) 1/4 4) 3/2 Correct Answer: 3/4 QID : What is the value of cot ( o )? cot ( o ) क म न य ह? 1) ) 2 3 3) ) 3 1 Correct Answer: QID : If (A + B + C) = 90 o, then what is the value of sin (A/2) sin [(180 B C)/2] + cos (A/2) sin (B + C)/2? य द (A + B + C) = 90 o ह, त sin (A/2) sin [(180 B C)/2] + cos (A/2) sin (B + C)/2 क म न य ह? 1) 1/2 2) 1 3) 1/ 2 4) 3/2 Correct Answer: 1/ 2 Candidate Answer: 1/ 2 QID : What is the value of cot (90 x) sin 4 (90 x) + cot (180 x) sin 4 (180 x)? cot (90 x) sin 4 (90 x) + cot (180 x) sin 4 (180 x) क म न य ह? 1) (cos 4x)/4 2) (sin 2 2x)/2 3) (cos 2 2x)/2 4) (sin 4x)/4 Correct Answer: (sin 4x)/4 QID : A flag of height 4 metres is standing on the top of a building. The angle of elevation of the top of the flag from a point X is 45 o and the angle of elevation of the top of building from X is 30 o. Point X is on the ground level. What is the height (in metres) of the building? एक झ ड जसक ऊ च ई 4 म टर ह, एक इम रत क च ट पर खड़ आ ह ब X स झ ड क च ट क उ यन क ण 45 o ह तथ X स इम रत क च ट क उ यन क ण 30 o ह ब X जम न क सतह पर ह इम रत क ऊ च ई (म टर म) य ह? 1) ) 2( 3 + 1) 3) 4( 3 + 1) 4) ( 3 + 1) Correct Answer: 2( 3 + 1) Candidate Answer: 2( 3 + 1) QID : Height of a tower is 120 metres. The angle of elevation of the top of tower from a point B is 75 o. Point B is on the ground level. What is the distance (in metres) of point B from the base of tower? एक म न र क ऊ च ई 120 म टर ह ब B स म न र क च ट क उ यन क ण 75 o ह ब B जम न क सतह पर ह म न र क आध र स ब B क र (म टर म) य ह? 1) 120 (2 3) 2) 180 (3 3) 3) 180 ( 3 1) 4) 150 ( 3 1) Correct Answer: 120 (2 3) Candidate Answer: 120 (2 3)

13 QID : Mohit is standing at some distance from a 60 meters tall building. Mohit is 1.8 meters tall. When Mohit walks towards the building, then the angle of elevation from his head becomes 60 from 45. How much distance (in metres) Mohit covered towards the building? म हत एक 60 म टर ल ब इम रत स क छ र पर खड़ ह म हत 1.8 म टर ल ब ह जब म हत इम रत क ओर प दल चलत ह, त उसक सर स इम रत क च ट क उ यन क ण 45 स 60 ह ज त ह म हत न इम रत क ओर कतन र (म टर म) तय क ह ग? 1) 18.6 (4 3) 2) ) 19.4 ( 3 + 1) 4) 19.4 (3 3) Correct Answer: 19.4 (3 3) QID : Total number of bikes manufactured by company D is what percentage of total number of cars of type C1 manufacture by company G? क पन D र उ प दत ब ईक क क ल स य, क पन G र उ प दत C1 क र क ग ड़य क क ल स य क कतन 1) 50 2) 100 3) 200 4) 150 Correct Answer: 200 तशत ह?

14 QID : What is the average of the total number of cars of type C1 manufactured by the given 5 companies? द गई 5 क प नय र उ प दत C1 क र क ग ड़य क क ल स य क औसत य ह? 1) ) ) ) Correct Answer: 62000

15 QID : What is the difference between the total number of C3 type car manufactured by company E and G together and the number of bikes of type B1 manufactured by company H? क पन E तथ G र मल कर उ प दत C3 क र क ग ड़य क क ल स य तथ क पन H र उ प दत B1 क र क ब ईक क स य क म य अ तर य ह? 1) ) ) ) Correct Answer: 40000

16 QID : H = Total number of B2 type bike manufactured by all the companies. R = Total number of C1 type car manufactured by company F, G and D together. What is the value of H/R? H = सभ क प नय र उ प दत B2 क र क ब ईक क क ल स य R = क पन F, G तथ D र मल कर उ प दत C1 क र क ग ड़य क क ल स य H/R क म न य ह? 1) ) ) ) None of these इनम स क ई नह Correct Answer: 1.15

17 QID : A = Total number of cars manufactured by all the companies. K = Difference between the number of C3 type cars manufactured by company H and the number of B3 type bike manufactured by company E. What is the value of A : K? A = सभ क प नय र उ प दत ग ड़य क क ल स य K = क पन H र उ प दत C3 क र क ग ड़य क स य तथ क पन E र उ प दत B3 क र क ब ईक क स य क ब च क अ तर A : K क म न य ह? 1) 91 : 2 2) 93 : 2 3) 181 : 4 4) 185 : 4 Correct Answer: 93 : 2 QID : How many litres of water should be added to a 7.5 litre mixture of acid and water containing acid and water in the ratio of 1 : 2 such that the resultant mixture has 20% acid in it? 7.5 ल टर म ण म ए सड और प न क अन प त 1: 2 ह इस म ण म कतन ल टर प न मल य ज न च हए, क प रण म म ण म 20% ए सड ह? 1) 10 2) 2.5 3) 7.5 4) 5 Correct Answer: 5 Candidate Answer: 5 QID : In what ratio should cement costing Rs 250 per bag be mixed with cement costing Rs 325 per bag so that the cost of the mixture is Rs 300 per bag. (A bag of cement is 50 kg). कस अन प त म 250 त ब ग ल गत व ल स मट क 325 त ब ग ल गत व ल स मट क स थ मल य ज न च हए त क म ण क क मत 300 त ब ग ह ज य? (स मट क एक ब ग 50 क.. क ह त ह ) 1) 1:2 2) 2:1 3) 3:2 4) 2:3 Correct Answer: 1:2 Candidate Answer: 1:2

18 QID : A started a trading firm by investing Rs 10 lakhs. After 4 months, B joined the business by investing Rs 15 lakhs then 2 months after B joined C too joined them by investing Rs 20 lakhs. 1 year after A started the business they made Rs 6,00,000 in profit. What is C's share of the profit (in Rs)? A न 10 ल ख क नव श करक एक डग फम श क 4 म ह क ब द, B 15 ल ख क नव श करक उस बजन स म श मल ह गय और B र श मल ह न क 2 मह न ब द 20 ल ख नव श करक C भ उनम श मल ह गय A र क र ब र श करन क 1 स ल ब द, उ ह न 6,00,000 क ल भ कम य उस ल भ म C क ह स य ह ( म)? 1) 2,00,000 2) 1,00,000 3) 1,50,000 4) 3,00,000 Correct Answer: 2,00,000 QID : A and B started a partnership business investing in the ratio of 2 : 5. C joined them after 3 months with an amount equal to 4/5th of B. What was their profit (in Rs) at the end of the year if A got Rs 16,800 as his share? A और B न 2: 5 क अन प त म नव श कर एक स झ द र प र श कय B क 4/5 व क बर बर र श क स थ 3 मह न क ब द C उनम श मल ह गय उस वष क अ त म उनक ल भ ( म) य थ, य द A क उसक ह स क प म 16,800 मल थ? 1) ) ) ) Correct Answer: Candidate Answer: QID : Working alone A can do a work in 72 days and B in 90 days. If they work on it together for 10 days, then what fraction of work is left? अक ल क य करत ए A 72 दन म एक क म कर सकत ह और B उस 90 दन म कर सकत ह य द व 10 दन तक एक स थ उस क म क करत ह, त क म क कतन अ श बच ज त ह? 1) 1/4 2) 3/5 3) 1/5 4) 3/4 Correct Answer: 3/4 Candidate Answer: 3/4 QID : A, B and C together can build a wall in 12 days. C is four times as productive as B and A alone can build the wall in 48 days. In how many days A and B working together can build the wall? A, B और C एक स थ 12 दन म द व र बन सकत ह B क त लन म C च र ग न अ धक उ प दन करत ह और A अक ल 48 दन म द व र बन सकत ह A और B एक स थ क म करक वह द व र कतन दन म बन सकत ह? 1) 20 2) 30 3) 80 4) 40 Correct Answer: 30 QID : Working together A and B can do a job in 36 days, B and C in 10 days and all three together in 9 days. In how many days can B alone do the job? स थ मलकर क म करत 1) 90 2) 30 3) 24 4) 60 Correct Answer: 60 Candidate Answer: 60 ए A और B, 36 दन म, B और C 10 दन म और त न एक स थ मलकर 9 दन म एक क म कर सकत ह B अक ल उस क म क कतन दन म कर सकत ह? QID : A can do 1/5 of a job in 10 days, B can do 1/3 rd of the job in 25 days. In how many days can they do half of the job working together? A एक क म क 1/5 भ ग 10 दन म कर सकत ह, B उस क म क 1/3 भ ग 25 दन म कर सकत ह एक स थ क म करत ए व कतन दन म उस क म क आध ह स कर सकत ह? 1) 30 2) 45 3) 15 4) 20 Correct Answer: 15 Candidate Answer: 15 QID : bar of chocolate costs Rs 80 but a box containing 6 bars of the same chocolate costs Rs 400. What is the effective discount (in %) on the box? च कल ट क 1 ब र क क मत 80 ह, ल कन उस च कल ट क 6 ब र व ल ब स क क मत 400 ह उस ब स पर भ व छ ट (% म) य ह? 1) 20 2) ) 25 4) 15 Correct Answer: 16.67

19 QID : % discount is offered on a shirt marked at Rs But the shirt is sold at Rs 918 after giving a further cash discount. How much is this cash discount (in %)? 1200 क अ कत क मत व ल शट पर 15% छ ट द ज त ह ल कन उस शट क और नकद छ ट द न क ब द 918 म ब च ज त ह यह नकद छ ट (% म) कतन ह? 1) 10 2) 12 3) 5 4) 8 Correct Answer: 10 Candidate Answer: 10 QID : A retailer marks up his goods by 30% and offers 15% discount. What will be the selling price (in Rs) of an item sold by the retailer if its cost to the retailer is Rs 1,000? एक ख दर प र 30% तक अपन स म न क च त करत ह और 15% क छ ट द त ह उस ख दर प र र ब च ज न व ल आइटम क ब म य ( म) य ह ग अगर उस ख दर प र क क मत 1,000 ह? 1) ) ) 805 4) 1225 Correct Answer: 1105 Candidate Answer: 1105 QID : The selling price of a smartphone is Rs 9,600 if the discount on it is 20%. What would be the selling price (in Rs) of the smartphone if the discount on it was 25%? एक म टफ न क ब म य 9,600 ह त ह, अगर उस पर द गई छ ट 20% ह उस म टफ न क ब म य ( म) य ह ग, अगर उस पर द गई छ ट 25% थ? 1) ) ) ) 9000 Correct Answer: 9000 Candidate Answer: 9000 QID : The wages of three labourers A, B and C are in the ratio 10:12:15. A's wage is increased in the ratio 5:6, B's wage is increased in the ratio 3:4 and C's wage is increased in the ratio 3:5. The new ratio of the wages of A:B:C is. A, B और C इन त न मज र क मज र क अन प त 10 : 12 : 15 ह A क व तन 5 : 6 क अन प त म बढ़त ह, B क व तन 3 : 4 क अन प त म बढ़त ह और C क व तन 3 : 5 क अन प त म बढ़त ह A : B : C क मज र क नय अन प त ह 1) 15:18:20 2) 12:16:25 3) 6:7:9 4) 8:6:5 Correct Answer: 12:16:25 QID : The ratio of present ages of Ajay and Vijay is 2:3. 4 years ago the ratio of their ages was 3:5. What is Vijay's present age (in years)? अजय और वजय क वतम न उ क अन प त 2 : 3 ह 4 स ल पहल उनक उ 3 : 5 क अन प त म थ वजय क वतम न उ य ह (स ल म)? 1) 16 2) 8 3) 32 4) 24 Correct Answer: 24 Candidate Answer: 24 QID : If 12A = 16B = 15C; find A : B : C. य द 12A = 16B = 15C; A : B : C त कर 1) 12:16:15 2) 15:16:12 3) 20:15:16 4) 16:15:20 Correct Answer: 20:15:16 QID : Find the third proportional to 16 and और 20 क लए त सर आन प तक त कर 1) 24 2) 25 3) 32 4) 40 Correct Answer: 25 Candidate Answer: 25

20 QID : Find the number of students who took an exam if the ratio of those who passed to those who failed in the exam was 10 : 3. If 40 more students had taken the exam and 10 less had failed, then the ratio of those who passed to those who failed in the exam would have been 5 : 1. उन व थय क स य क पत लग ए, ज ह न पर द थ, य द उस पर म उ ण ह न व ल और असफल रहन व ल व थय क अन प त 10 : 3 थ य द 40 अ य व थय न पर द ह त और 10 कम छ वफल ए ह त, त उस पर म उ ण ए और असफल रहन व ल व थय क अन प त 5 : 1 ह त 1) 200 2) 250 3) 300 4) 260 Correct Answer: 260 Candidate Answer: 260 QID : The ratio of the bank balance of three brothers A, B and C is 10 : 12 : 5. B transfers Rs 60,000 from his account to C's. The new ratio of the bank balances becomes 10 : 9 : 8. What is the bank balance of A (in Rs)? त न भ इय A, B और C क बक ब लस क अन प त 10 : 12 : 5 ह B अपन ख त स C क ख त म 60,000 ( म) य ह? 1) ) ) ) Correct Answer: क थ न तरण करत ह, त उनक बक ब लस क नय अन प त 10 : 9 : 8 ह ज त ह A क बक ब लस QID : In a set of three numbers, the average of first two numbers is 21, the average of the last two numbers is 24, and the average of the first and the last numbers is 15. What is the average of three numbers? त न स य क स ट म, पहल द स य क औसत 21 ह, अ तम द स य क औसत 24 ह, और पहल और अ तम स य क औसत 15 ह उन त न स य क औसत य ह? 1) 20 2) 60 3) 25 4) 18 Correct Answer: 20 Candidate Answer: 20 QID : In a club there are 12 wrestlers. When a wrestler whose weight is 90 kg leaves the club, he is replaced by a new wrestler then the average weight of this 12 member club increases by 0.75 kg. What is the weight (in kg) of the new wrestler who joined the club? एक लब म 12 पहलव न ह जब 90 कल म वजन व ल एक पहलव न वह लब छ ड़ द त ह, त उसक थ न पर एक नय पहलव न रख ज त ह और इस 12 सद य य लब क औसत वजन 0.75 कल म स बढ़ ज त ह उस नय पहलव न क वजन ( कल म म) य ह ज उस लब म श मल आ ह? 1) 108 2) 99 3) 112 4) 100 Correct Answer: 99 Candidate Answer: 99 QID : A zoo has an average of 500 visitors on Sundays and 200 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is: एक च ड़य घर म र वव र क औसत 500 आग त क आत ह और अ य दन 200 आग त क आत ह र वव र स श ह न व ल 30 दन क एक मह न म त दन आन व ल आग त क क औसत स य यह ह : 1) 225 2) 275 3) 300 4) 250 Correct Answer: 250 Candidate Answer: 250 QID : The average of 35 consecutive even numbers is 44. Find the smallest number. 35 लग त र सम स य क औसत 44 ह सबस छ ट स य त कर 1) 8 2) 12 3) 10 4) 14 Correct Answer: 10 Candidate Answer: 10 QID : If a shopkeeper sells a mixer at Rs 11,400 then he suffers a loss of 5%. At what price (in Rs) should he sell the mixer to gain 10%? अगर क ई क नद र 11,400 म म सर ब चत ह त उस 5% क न कस न ह त ह 10% ल भ ह सल करन क लए उस म सर क कस क मत पर ( म) ब चन च हए? 1) ) ) ) Correct Answer: 13200

21 Candidate Answer: QID : A grain trader has 100 bags of rice. He sold some bags at 10% profit and rest at 20% profit. His overall profit on selling these 100 bags was 14%. How many bags did he sell at 20% profit? एक अन ज 1) 40 2) 50 3) 60 4) 70 Correct Answer: 40 Candidate Answer: 60 प र क प स च वल क 100 ब ग ह उ ह न 10% ल भ पर क छ ब ग ब च और ब क ब ग 20% ल भ पर ब च य 100 ब ग ब चन पर उनक क ल ल भ 14% थ उ ह न 20% ल भ पर कतन ब ग ब च थ? QID : By selling 21 pots at Rs 2,520, there is a loss equal to the cost price of 3 pots. Find the cost price (in Rs) of each pot. 2,520 म 21 प ट ब चन स 3 प ट क क मत क बर बर न कस न ह त ह य क प ट क ल गत म य ( म) त कर 1) 140 2) 150 3) 160 4) 180 Correct Answer: 140 QID : The profit margin on a sofa set is 100%. If the cost price of the sofa set falls by 20% then what will be the new profit margin (in %)? एक स फ स ट पर ल भ म जन 100% ह य द स फ स ट क क मत 20% तक गर ज त ह त नय ल भ म जन (% म) य ह ग? 1) 150 2) 120 3) 200 4) 180 Correct Answer: 150 Candidate Answer: 150 QID : % of 0.05% of x is 75. Find x. x क 0.05% क 150%, 75 ह x त कर 1) 1,00,000 2) ) 1,25,000 4) 1,50,000 Correct Answer: 1,00,000 Candidate Answer: 1,00,000 QID : A student multiplied a number by 4/5 instead of 5/4. What is the percentage error in the calculation? एक छ न 5/4 क बज य 4/5 स एक स य क ग ण कय उस गणन म ई 1) 16 2) 25 3) 36 4) 20 Correct Answer: 36 Candidate Answer: 36 तशत ट य ह? QID : Elections were held in a society to elect a chairman. There were only two candidates A and B. Candidate B got 25% less votes than candidate A. The number of members who did not cast the vote was same as the number of votes that candidate B got. By how many votes did A win if the society had 20,000 members. सभ प त क च न व करन क लए एक सम ज म च न व ए वह क वल द उ म दव र A और B थ उ म दव र B क उ म दव र A क म क बल 25% कम व ट मल उन सद य क स य, ज ह न व ट नह ड ल, उन व ट क स य क बर बर थ, ज उ म दव र B क मल थ य द उस सम ज म 20,000 सद य ह, त A क कतन व ट मल 1) ) ) ) 2000 Correct Answer: 2000 QID : % of a = b, then b% of 250 is the same as a% of. a क 250% = b, त 250 क b% सम न ह ग, क a% 1) 625 2) ) 100 4) 6250 Correct Answer: 625 Candidate Answer: 625

22 QID : A bullet shoots 500 m in 0.2 seconds. What is its speed in km/hr? एक ब ल ट 0.2 स क ड म 500 म टर क र तय करत ह क.म. / घ ट म इसक ग त य ह? 1) ) 900 3) 100 4) 9000 Correct Answer: 9000 Candidate Answer: 9000 QID : A taxi goes from City A to City B at an average speed of 84 km/hr. In the return journey due to traffic the average speed of the taxi falls by 24 km/hr. Find the average speed of the taxi (in km/hr) for the total journey. एक ट स शहर A स शहर B तक 84 क.म. / घ ट क औसत ग त स ज त ह फक क क रण व पस य म ट स क औसत ग त 24 क.म. / घ ट स कम ह ज त ह क ल य क लए उस ट स क औसत ग त ( क.म. / घ ट म) त कर 1) 72 2) 75 3) 70 4) 68 Correct Answer: 70 Candidate Answer: 70 QID : A jogger covered a certain distance at some speed. Had he moved 3 km/hr faster, he would have taken 20 minutes less. If he had moved 1 km/hr slower, he would have taken 10 minutes more. What is the distance (in km) that he jogged? एक ज गर न क छ ग त स एक न त र क तय कय य द वह 3 क.म. / घ ट त ज गय ह त, त उस 20 मनट कम लग ह त य द वह 1 क.म. / घ ट ध म ग त स गय ह त, त उस 10 मनट और अ धक लग ज त उसक र तय क गई र ( क.म. म) य ह? 1) 9 2) 10 3) 12 4) 8 Correct Answer: 12 QID : Ramesh travels by bus from city A to city B at an average speed of 44 km/hr. Suresh travels by taxi from city A to city B at an average speed of 77 km/hr and takes 3 hours lesser than time taken by Ramesh. What is the distance (in km) between the two cities? रम श शहर A स शहर B तक 44 क.म. / घ ट क औसत ग त स बस स य करत ह स र श शहर A स शहर B तक 77 क.म. / घ ट क औसत ग त स एक ट स र य करत ह और उ ह रम श र लए गय समय स 3 घ ट कम लगत ह उन द शहर क ब च र ( क.म. म) य ह? 1) 363 2) 308 3) 280 4) 336 Correct Answer: 308 Candidate Answer: 308 QID : In 4 years at simple interest the principal increases by 12%. Calculate the amount (in Rs) received at the end of 2 years on Rs 20,000 at the same rate if compounded annually? स ध रण य ज पर 4 वष म म लधन 12% स बढ़ ज त ह व षक च व प स उस दर पर 20,000 पर 2 स ल क अ त म त धनर श ( म) क गणन कर? 1) ) ) ) Correct Answer: Candidate Answer: QID : Find the difference (in Rs) in the interest earned on Rs 10,00,000 at 10% in 1 year compounded annually and semi-annually. 10% क दर स व षक च व और अधव षक च व प स गणन करन पर 10,00,000/-. पर 1 वष म अ जत य ज म अ तर ( म) त कर 1) 250 2) ) 100 4) 2500 Correct Answer: 2500 Candidate Answer: 2500 QID : A bank gives Rs 25,000 on a saving a certain principal in 2 years at 8% rate of interest. How much will the bank give (in Rs) on the same principal in 4 years at the same rate of interest compounded annually? एक बक एक न त म लधन क बचत करन पर 2 वष म 8% य ज क दर स 25,000 द त ह स ल न च व य ज दर स 4 वष म उस म लधन पर वह बक कतन य ज द ग ( म)? 1) ) ) ) Correct Answer: 29160

23 QID : Find the rate of interest (in %) if simple interest earned on a certain sum for the 3 years is Rs 900 and compound interest earned in 2 years is Rs 636? य द एक न त धनर श पर 3 स ल म अ जत कय गय स ध रण य ज 900 ह, और 2 स ल म अ जत कय गय च व य ज 636 ह, त य ज दर (% म) क पत लग ए 1) 12 2) 10 3) 9 4) 8 Correct Answer: 12 Candidate Answer: 12

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