
TNPSC, SSC, UPSC, BANKING, RAILWAY, TNUSRB, TNFUSRC போனà¯à®± தேரà¯à®µà¯à®•ளà¯à®•à¯à®•௠தயாராகà¯à®®à¯ நபரà¯à®•ளà¯à®•à¯à®•௠பாடகà¯à®•à¯à®±à®¿à®ªà¯à®ªà¯à®•à¯à®•à¯à®³à¯ மறà¯à®±à¯à®®à¯ தரமான தினசரி வினா விடை கà¯à®±à®¿à®ªà¯à®ªà¯à®•ள௠நாஙà¯à®•ள௠ADDA247தமிழில௠தரà¯à®•ிறோமà¯. இத௠உஙà¯à®•ள௠நேரதà¯à®¤à¯ˆ மிசà¯à®šà®ªà¯à®ªà®Ÿà¯à®¤à¯à®¤à¯à®®à¯, தரமான வினாகà¯à®•ள௠உஙà¯à®•ளà¯à®•à¯à®•௠நிஜ தேரà¯à®µà®¿à®²à¯ கை கொடà¯à®•à¯à®•à¯à®®à¯. தினசரி நடபà¯à®ªà¯ நிகழà¯à®µà¯à®•ளை தெரிநà¯à®¤à¯ கொணà¯à®Ÿà¯ உஙà¯à®•ளை நீஙà¯à®•ளே மெரà¯à®•ேறà¯à®±à®²à®¾à®®à¯. உஙà¯à®•ளà¯à®•à¯à®•௠மேலà¯à®®à¯ எளிதாகà¯à®• நாஙà¯à®•ள௠உஙà¯à®•ளà¯à®•à¯à®•௠உஙà¯à®•ள௠தாய௠மொழியிலà¯(தமிழிலà¯) தரà¯à®•ிறோமà¯.தொடர௠பயிறà¯à®šà®¿à®¯à¯‡ வெறà¯à®±à®¿à®•à¯à®•ான திறவà¯à®•ோலà¯.
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Q1. கொடà¯à®•à¯à®•பà¯à®ªà®Ÿà¯à®Ÿ படதà¯à®¤à®¿à®²à¯, P மறà¯à®±à¯à®®à¯ Q ஆகியவை AC மறà¯à®±à¯à®®à¯ AB யின௠நடà¯à®ªà¯à®ªà®•à¯à®¤à®¿à®•ளாகà¯à®®à¯. மேலà¯à®®à¯, PG = GR மறà¯à®±à¯à®®à¯ HQ = HR. ∆PQR இன௠பரபà¯à®ªà®³à®µà¯: ∆ABC இன௠பரபà¯à®ªà®³à®µà¯ எனà¯à®©?
(a) 1/2
(b) 2/3
(c) 3/5
(d) மேலே எதà¯à®µà¯à®®à¯ இலà¯à®²à¯ˆ
Q2. ABC எனà¯à®± ஒர௠மà¯à®•à¯à®•ோணதà¯à®¤à®¿à®²à¯, AD எனà¯à®ªà®¤à¯ ∠BAC இன௠கோண இரà¯à®šà®®à®µà¯†à®Ÿà¯à®Ÿà®¿ மறà¯à®±à¯à®®à¯ ∠BAD = 60° ஆகà¯à®®à¯. AD நீளம௠எனà¯à®©?
(a) (b+c)/bc
(b)bc/(b+c)
(c) √(b^2+c^2 )
(d) (b+c)^2/bc
Q3. கீழே கொடà¯à®•à¯à®•பà¯à®ªà®Ÿà¯à®Ÿà¯à®³à¯à®³ படதà¯à®¤à®¿à®²à¯, AB எனà¯à®ªà®¤à¯ ஒர௠வடà¯à®Ÿà®¤à¯à®¤à®¿à®©à¯ நாண௠O எனà¯à®ªà®¤à¯ மையமà¯. AB உடன௠C கà¯à®•௠நீடà¯à®Ÿà®¿à®•à¯à®•பà¯à®ªà®Ÿà¯à®Ÿà¯à®³à¯à®³à®¤à¯, அதனால௠BC = OB. D எனà¯à®± பà¯à®³à¯à®³à®¿à®¯à®¿à®²à¯ வடà¯à®Ÿà®¤à¯à®¤à¯ˆ சநà¯à®¤à®¿à®•à¯à®• CO எனà¯à®± நேர௠கோட௠தயாரிகà¯à®•பà¯à®ªà®Ÿà¯à®•ிறதà¯. ∠ACD = y டிகிரி மறà¯à®±à¯à®®à¯ ∠AOD = x டிகிரி எனில௠x = ky எனà¯à®±à®¾à®²à¯, k இன௠மதிபà¯à®ªà¯:
(a) 3
(b) 2
(c) 1
(d) None of these
Q4. கீழே உளà¯à®³ படதà¯à®¤à®¿à®²à¯, மூலையில௠உளà¯à®³ செவà¯à®µà®•ம௠10 செ.மீ × 20 செ.மீ அளவிடà¯à®®à¯. செவà¯à®µà®•தà¯à®¤à®¿à®©à¯ A வடà¯à®Ÿà®¤à¯à®¤à®¿à®©à¯ சà¯à®±à¯à®±à®³à®µà¯à®•à¯à®•௠ஒர௠பà¯à®³à¯à®³à®¿à®¯à®¾à®•à¯à®®à¯. செ.மீ இல௠வடà¯à®Ÿà®¤à¯à®¤à®¿à®©à¯ ஆரம௠எனà¯à®©?
(a) 10 செ.மீ.
(b) 40 செ.மீ.
(c) 50 செ.மீ.
(d) மேறà¯à®•ூறிய எதà¯à®µà¯à®®à¯ இலà¯à®²à¯ˆ
Q5. கீழே கொடà¯à®•à¯à®•பà¯à®ªà®Ÿà¯à®Ÿà¯à®³à¯à®³ படதà¯à®¤à®¿à®²à¯ , P எனà¯à®ªà®¤à¯ AB இல௠உளà¯à®³ ஒர௠பà¯à®³à¯à®³à®¿à®¯à®¾à®•à¯à®®à¯, அதாவத௠AP: PB = 4: 3. PQ, AC கà¯à®•௠இணையாகவà¯à®®à¯, QD, CP கà¯à®•௠இணையாகவà¯à®®à¯ உளà¯à®³à®¤à¯. ∆ARC இலà¯, ∠ARC = 90 °, மறà¯à®±à¯à®®à¯ ∆PQS இலà¯, ∠PSQ = 90 °. QS இன௠நீளம௠6 செ.மீ. AP: PD எனà¯à®± விகிதம௠எனà¯à®©?
(a) 10 : 3
(b) 2 : 1
(c) 7 : 3
(d) 8 : 3
Q6. கீழே கொடà¯à®•à¯à®•பà¯à®ªà®Ÿà¯à®Ÿà¯à®³à¯à®³ படதà¯à®¤à®¿à®²à¯, AD = CD = BC மறà¯à®±à¯à®®à¯ ∠BCE = 96° எனà¯à®±à®¾à®²à¯, ∠DBC எவà¯à®µà®³à®µà¯?
(a) 32°
(b) 84°
(c) 64°
(d) தீரà¯à®®à®¾à®©à®¿à®•à¯à®• à®®à¯à®Ÿà®¿à®¯à®¾à®¤à¯
Q7. கீழே கொடà¯à®•à¯à®•பà¯à®ªà®Ÿà¯à®Ÿà¯à®³à¯à®³ படதà¯à®¤à®¿à®²à¯ A, B மறà¯à®±à¯à®®à¯ C ஆகியவை மைய O கொணà¯à®Ÿ ஒர௠வடà¯à®Ÿà®¤à¯à®¤à®¿à®²à¯ மூனà¯à®±à¯ பà¯à®³à¯à®³à®¿à®•ளà¯. நாண௠BA ஒர௠பà¯à®³à¯à®³à®¿ T கà¯à®•௠நீடà¯à®Ÿà®¿à®•à¯à®•பà¯à®ªà®Ÿà¯à®Ÿà¯à®³à¯à®³à®¤à¯, அதாவத௠CT பà¯à®³à¯à®³à®¿ C இல௠வடà¯à®Ÿà®¤à¯à®¤à®¿à®±à¯à®•௠ஒர௠தொடà¯à®•ோடாக மாறà¯à®•ிறத௠எனà¯à®±à®¾à®²à¯ ∠ATC = 30° மறà¯à®±à¯à®®à¯ ∠ACT = 50 °, பினà¯à®©à®°à¯ கோணம௠∠BOA:
(a) 100°
(b) 150°
(c) 80°
(d) தீரà¯à®®à®¾à®©à®¿à®•à¯à®• à®®à¯à®Ÿà®¿à®¯à®¾à®¤à¯
Q8. ஒர௠தà¯à®£à¯à®Ÿà¯ காகிதம௠ஒர௠கோண à®®à¯à®•à¯à®•ோணதà¯à®¤à®¿à®©à¯ வடிவதà¯à®¤à®¿à®²à¯ உளà¯à®³à®¤à¯ மறà¯à®±à¯à®®à¯ கரà¯à®£à®¤à¯à®¤à®¿à®±à¯à®•௠இணையாக இரà¯à®•à¯à®•à¯à®®à¯ ஒர௠கோடà¯à®Ÿà®©à¯ வெடà¯à®Ÿà®ªà¯à®ªà®Ÿà¯à®Ÿà¯, ஒர௠சிறிய à®®à¯à®•à¯à®•ோணதà¯à®¤à¯ˆ விடà¯à®Ÿà¯ விடà¯à®•ிறதà¯. à®®à¯à®•à¯à®•ோணதà¯à®¤à®¿à®©à¯ கரà¯à®£à®¤à¯à®¤à®¿à®©à¯ நீளதà¯à®¤à®¿à®²à¯ 35% கà¯à®±à¯ˆà®•ிறதà¯. அசல௠மà¯à®•à¯à®•ோணதà¯à®¤à®¿à®©à¯ பரபà¯à®ªà®³à®µà¯ வெடà¯à®Ÿà¯à®µà®¤à®±à¯à®•௠மà¯à®©à¯ 34 சதà¯à®° à®…à®™à¯à®•à¯à®²à®®à®¾à®• இரà¯à®¨à¯à®¤à®¾à®²à¯, சிறிய à®®à¯à®•à¯à®•ோணதà¯à®¤à®¿à®©à¯ பரபà¯à®ªà®³à®µà¯ (சதà¯à®° à®…à®™à¯à®•à¯à®²à®™à¯à®•ளிலà¯) எனà¯à®©?
(a) 16.665
(b) 16.565
(c) 15.465
(d) 14.365
Q9. AD விடà¯à®Ÿà®®à¯ கொணà¯à®Ÿ அரை வடà¯à®Ÿà®¤à¯à®¤à®¿à®²à¯, நாண௠BC விடà¯à®Ÿà®¤à¯à®¤à®¿à®±à¯à®•௠இணையாக உளà¯à®³à®¤à¯. மேலà¯à®®à¯, AB மறà¯à®±à¯à®®à¯ CD ஆகிய ஒவà¯à®µà¯Šà®°à¯ நாணின௠நீளம௠2 ஆக உளà¯à®³à®¤à¯, AD நீளம௠8 ஆக உளà¯à®³à®¤à¯. BC ன௠நீளம௠எனà¯à®©?
(a) 7.5
(b) 7
(c) 7.75
(d) இவறà¯à®±à®¿à®²à¯ à®à®¤à¯à®®à®¿à®²à¯à®²à¯ˆ
Q10. ஆரம௠2 கொணà¯à®Ÿ ஒர௠வடà¯à®Ÿà®®à¯ வலத௠கோணதà¯à®¤à®¿à®±à¯à®•௠எதிராக வைகà¯à®•பà¯à®ªà®Ÿà¯à®•ிறதà¯. à®…à®°à¯à®•ிலà¯à®³à¯à®³ படதà¯à®¤à®¿à®²à¯ காடà¯à®Ÿà®ªà¯à®ªà®Ÿà¯à®Ÿà¯à®³à¯à®³à®ªà®Ÿà®¿ மறà¯à®±à¯Šà®°à¯ சிறிய வடà¯à®Ÿà®®à¯à®®à¯ வைகà¯à®•பà¯à®ªà®Ÿà¯à®Ÿà¯à®³à¯à®³à®¤à¯. சிறிய வடà¯à®Ÿà®¤à¯à®¤à®¿à®©à¯ ஆரம௠எனà¯à®©?
(a) 3-2√2
(b) 4-2√2
(c) 7-4√2
(d) 6-4√2
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DAILYÂ QUANTITATIVE APTITUDE QUIZZES IN TAMIL SOLUTIONS
S1.Ans(a)
Sol.
P is mid point of AC
Q is mid point of AB
AP/PC=AQ/QB andAP=PC,AQ=BQ
∴∆AQP ~ ∆ ABC
PQ || BC
PQ=1/2 BC⇒BC=2PQ
AE=1/2 AF⇒AF=2AF
Again ∆ RGH ~ ∆ RPQ
PQ = 2GH, RJ = 2RK, EF = JK
But since EF = AE = JK = RK
RJ = RK + JK and AF = AE + EF
⇒ RJ = AF = K( say)
(Areaof ∆PQR)/(Areaof ∆ABC)=(1/2×PQ×k)/(1/2×BC×k)=PQ/BC=1/2
S2.Ans(b)
Sol.
Area of triangle ABC =1/2 b×c×sin∠BAC
=1/2 b×csin120°
=√3/4 bc
Also area of ∆ABC =Areaof ∆BAD+Areaof ∆CAD
√3/4 bc=1/2 c×ADsin60°+1/2×bADsin60°
√3/4 bc=√3/4 AD(b+c)
AD=bc/(b+c)
S3.Ans(a)
Sol.
BC = OB (Given)
∴∠BOC = ∠BCO =x°
∠ABO = ∠BOC + ∠BCO
∠ABO = 2x°
∠ABO = ∠OAB = 2x°
∴ ∠AOB=180°-(∠OAB+∠ABO)(∵ OAB is a triangle)
∠AOB = 180°– 4x
∠AOD = 180° – (∠AOB + ∠BOC)
∠AOD = y=180°-(180-4x+x)
⇒y=3x
Hence k=3
S4.Ans(c)
Sol.
OA = OB =r (radius)
OC = (r – 10)
AC = (r – 20)
OC^2+AC^2=OA^2
(r-10)^2+(r-20)^2=r^2
r^2-60r+500=0
r=50,10
Out r cannot be 10
∵ In case of r = 10, B and will coincide.
∴ r = 50 cm
S5.Ans(c)
Sol.
PQ ∥ AC ⇒∆ACB ~ ∆PQB
∴ AP : PB = CQ : BQ = 4 : 3
and QD ∥ CP ⇒∆CPB ~ ∆QDB
∴ CQ : BQ = PD : BD = 4 : 3
AP : PB = 4 : 3 and PD : BD = 4 : 3
⇒ AP : PD = 7 : 3
S6.Ans(c)
Sol.
AD = CD (given)
∴∠CAD = ∠ACD = x° (say)
∴∠BDC = 2x° (outerangle of triangle)
∵ CD = BC
∴∠BDC = ∠DBC = 2x°
Now, In ∆ ABC,
∠CAB + ∠ABC = ∠BCE
x°+2x°=96°
x=32°
∠DBC = 64°
S7.Ans(a)
Sol.
∠ACT = 50° (given)
And
OC ⊥ CT
∴∠OCT = 90°
∠ACO = 90° – 50°
∠ACO = 40°
And
∠CAT = 180° – (50° + 30°)
∠CAT= 100°
∴∠CAB = 80°
⇒∠BOC = 2 ∠CAB = 160°
⇒∠OBC = ∠OCB = 10°
Now we can get
∠ACB = ∠ACO + ∠OCB
∠ACB = 40° + 10°
∠ACB = 50°
and ∠BOA = 2∠ACB
∴∠BOA = 100°
S8.Ans(d)
Sol.
DE ∥ AC
Area of ∆ABC = 34 inch2
DE = ((100-35))/100 AB
DE/AC=13/20
∆ABC ~ ∆DBE (∵ AC ∥ DE)
⇒ DE/AC=BD/AB=BE/BC=13/20
⇒ (areaof ∆DBE)/(areaof ∆ABC)=(DE/AC)^2=169/400
Areaof ∆DBE = 169/400×34=14.365 inch^2
S9.Ans(b)
Sol.
Area of ABCD =1/2 (8+BC)h
1/2 (8+BC)h=2√15+1/2 BC×h
⇒ h=√15/2
BC/2=√(16-15/4)
⇒ BC = 7 cm
S10.Ans(d)
Sol.
Let ‘O’ is centre of bigger circle.
And ‘c’ is centre of smaller circle.
and ‘r’ is radius of smaller circle.
OA = OP√2
OA = 2√2
OA = radius of bigger circle + radius of smaller circle + AC
2√2=2+r+r√2
r=2(√2-1)/((√2+1) )
r=2(2+1-2√2)=(6-4√2)
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