Super Session of Math’s 23 Oct. The Gurukul of Math’s...The Gurukul of Math’s By Sahil Sir...
Transcript of Super Session of Math’s 23 Oct. The Gurukul of Math’s...The Gurukul of Math’s By Sahil Sir...
The Gurukul of Math’s
By Sahil Sir Join Paid Course: Use Referral SAHIL10
Super Session of Math’s 23 Oct. 2019
The Gurukul of Math’s
By Sahil Sir Join Paid Course: Use Referral SAHIL10
Super Session of Math’s 23 Oct. 2019
Q.1. A can do a piece of work in 20 days and B in 15 days.
With help of C, they finish the work in 5 days. C can
alone do the work in:
A किसी िाम िो 20 किन में िर सिता ह ैऔर B 15 किन में िर
सिता ह ैC िी सहायता स े5 वें किन में िाम समाप् त िर ेते ेह। C
अिेेा उस िाम िो कितन ेकिन में िरेगा?
1) 5 days 2) 6 days
3) 10 days 4) 12 days
Q.2. A Spherical lead ball of radius 6 cm is melted and
small lead balls of 3 mm are made. The total number of
possible small lead balls is :
6 सेमी त्रिज् या वाेी ि गोे सीस ेिी ल े िो त्रलाेा िर 3
त्रममी त्रिज् या वाेी टो ी-टोअी सीस ेिी ल े ेलनाई जाती ह ै सीस े
िी टो ी ल ेों िी सभंात्रवत सखं् या या होगी ?
1) 4250 2) 4000
3) 8005 4) 8000 5) None of these
Q.3. At what percentage above the cost price must an
article be marked so as to gain 33% after allowing a
customer a discount of 5%?
The Gurukul of Math’s
By Sahil Sir Join Paid Course: Use Referral SAHIL10
Super Session of Math’s 23 Oct. 2019
किसी वस् त ुिे रयमयम् य स ेपलर कितन े्रतत्रततत उसिी अकंित िीमत
रखी जा कि ग्राहि िो 5% िी ट् िेन ेिे ्रतश् चात ििुानिार िो
33% िा ेाभ हो ?
1) 40% 2) 45%
3) 35% 4) 47%
Q.4. The four sides of a quadrilateral are in the ratio of 2 :
3 : 4 : 5 and its perimeter is 280m. The length of the
longest side is :
किसी चतभुुजु िी चार भजुा ँ 2 : 3 : 4 : 5 िे अनलुात में ह ैऔर
उसिी लररत्रि 280 मी र ह ै सलस ेेम् ली भजुा िी ेम् लाई लता
?
1) 100 m/100 m 2) 150 m
3) 175 m 4) 180 m
Q.5. Kamal has some apples. He sold 40% more than he
ate. If he sold 70 apples, the how many apples did he eat
?
The Gurukul of Math’s
By Sahil Sir Join Paid Course: Use Referral SAHIL10
Super Session of Math’s 23 Oct. 2019
िमे िे लास िुट सले ह ै उसन ेत्रजतन ेखा उसस े40% अत्रिि
लचे े यकि उसन े70 सेल लचे ेतो लता िी उसन ेकिसन ेसेल खा
?
1) 18 2) 42
3) 50 4) 90
Q.6. A train 100m long is running at a speed of 120 kms/hr.
The time taken to pass a person standing near the line is
100 मी र ेम् ली ि रेेगाी ी 120 किमी/ा ें िी रफ्तार स ेचे
रही ह ै रेे लथ िे लास खी े ि व् यत्रि िो लार िरन ेमें स ेकितना
समय ेगेगा ?
1) 12 second 2) 3 second
3) 5 second 4) 7 second
Q.7. If 𝒙𝟐 + 𝟓𝒙 + 𝟔 = 𝟎, then the value of 𝟐𝒙
𝒙𝟐−𝟕𝒙 + 𝟔 is :
The Gurukul of Math’s
By Sahil Sir Join Paid Course: Use Referral SAHIL10
Super Session of Math’s 23 Oct. 2019
यकि 𝒙𝟐 + 𝟓𝒙 + 𝟔 = 𝟎, हो तो 𝟐𝒙
𝒙𝟐−𝟕𝒙 + 𝟔 िा मान लता ं ?
1) 1
6 2)
1
3
3) −1
6 4) −
1
3
Q.8. If a + b = 5 and a – b = 3, then the value of (a² + b²) is
यकि a + b = 5 और a – b = 3 हो तो (a² + b²) िा मान लता
?
1) 17 2) 18
3) 19 d) 20
Q.9. A 8 cm long perpendicular is drawn from the center of
a circle to the 12 cm chord. Find the diameter of the
circle.
किसी वतृ्त िे िेन्द र स े12 समेी ेम् ल ेजीवा ति ि 8 समेी ेम् ला
ेम् ल खचचा जाता ह ै वतृ्त िा व् यास ञातात िीत्रज ?
1) 10 cm 2) 12 cm
3) 16 cm 4) 20 cm
Q.10. The point equidistant from the sides of a triangle is
called
The Gurukul of Math’s
By Sahil Sir Join Paid Course: Use Referral SAHIL10
Super Session of Math’s 23 Oct. 2019
त्रिभजु िी भजुाओं स ेसमिरुस् थ त्रलन्द ि ु या िहेात ेह ै?
1) Circumcenter/परिकेन्दर् 2) Incentre/ अतं: िेन्द र
3) Orthocenter/ लम्ब्केन्दर् 4) Centroid / िेन्द रि
Q.11. The value of 𝒄𝒐𝒔𝒆𝒄𝟐𝟔𝟎𝟎 + 𝒔𝒆𝒄𝟐𝟔𝟎𝟔𝟎 − 𝒄𝒐𝒕𝟐𝟔𝟎𝟎 +
𝒕𝒂𝒏𝟐𝟑𝟎𝟎 will be
𝒄𝒐𝒔𝒆𝒄𝟐𝟔𝟎𝟎 + 𝒔𝒆𝒄𝟐𝟔𝟎𝟔𝟎 − 𝒄𝒐𝒕𝟐𝟔𝟎𝟎 +
𝒕𝒂𝒏𝟐𝟑𝟎𝟎 िा मान या होगा ?
1) 5 2) 51
2
3) 51
3 4) 5
2
3
The Gurukul of Math’s
By Sahil Sir Join Paid Course: Use Referral SAHIL10
Super Session of Math’s 23 Oct. 2019
Q.12. A man buys a table and a chair for Rs. 500. He sells
the table at a loss of 10% and the chair at a gain of 10%.
He still gains Rs. 10 on the whole. The cost price of chair
in rupees is
िोई व् यत्रि ि मजे और ि िुससी ु. 500 में खरीिता ह ै वह मजे
10% िी हात्रन लर और िुससी 10% िे ेाभ लर लचे िेता ह ैकिर भी
उस ेिुे त्रमेािर ु. 10 िा ेाभ होता िुससी िा रयमयम् य ु.लयों में
लता ?
1) ₹ 200 2) ₹ 250
3) ₹ 300 4) ₹ 350
Q.13. The least number that must be added to 8961 to make
is exactly divisible by 84 is
8961 में िौन-सी ेातु्तम सखं् या जोी े कि वह 84 स ेलर््तु: त्रवभाज् य
हो जाए?
1) 27 2) 57
3) 141 4) 107
Q.14. The average age of a class of 39 students is 15 years. If
the age of the teacher is included, then the average
increases by 3 months. Fin d the age of the teacher.
The Gurukul of Math’s
By Sahil Sir Join Paid Course: Use Referral SAHIL10
Super Session of Math’s 23 Oct. 2019
39 टािों िी ि िक्षा में औसत आय ु15 वर् ुह ै यकि अध् यालि िी
आय ुभी जोी िी जा तो औसत आय ु3 माह लढ़ जाती ह ै अध् यालि
िी आय ुञातात कीजजए?
1) 30 2) 25
3) 35 4) 40
Q.15. If 𝒙 = 𝒂 +𝟏
𝒂 and 𝒚 = 𝒂 –
𝟏
𝒂, then the value of 𝒙𝟒 +
𝒀𝟒 − 𝟐𝒙𝟐𝒚𝟒 is
यकि 𝒙 = 𝒂 +𝟏
𝒂 और 𝒚 = 𝒂 –
𝟏
𝒂, हो तो 𝒙𝟒 + 𝒀𝟒 − 𝟐𝒙𝟐𝒚𝟒
िा मान ञातात िरें ?
1) 4 2) 8
3) 16 4) 64
The Gurukul of Math’s
By Sahil Sir Join Paid Course: Use Referral SAHIL10
Super Session of Math’s 23 Oct. 2019
Q.16. In ∆ABC and ∆DEF, If ∠A = 50°, ∠B = 70°, ∠C = 60°,
∠D = 60°, ∠E =70° and ∠F = 50° then
∆ABC और ∆DEF, में यकि ∠A = 50°, ∠B = 70°, ∠C = 60°,
∠D = 60°, ∠E =70° और ∠F = 50° हो तो
1) ∆ABC~∆FED 2) ∆ABC~∆DFE
3) ∆ABC~∆EDF 4) ∆ABC~∆DEF
Q.17. In a ∆𝐀𝐁𝐂, if 4∠A =3∠B = 12∠C, find ∠A
∆𝐀𝐁𝐂 में यकि 4∠A =3∠B = 12∠C हो तो ∠A माेम् िरें ?
1) 22.5° 2) 90°
3) 67.5° 4) 112.5°
Q.18. if 𝒔𝒊𝒏𝜽 + 𝒄𝒐𝒔𝒆𝒄𝜽 = 𝟐, the value fo 𝒔𝒊𝒏𝒏𝜽 + 𝒄𝒐𝒔𝒆𝒄𝒏𝜽
is
यकि 𝒔𝒊𝒏𝜽 + 𝒄𝒐𝒔𝒆𝒄𝜽 = 𝟐, हो तो 𝒔𝒊𝒏𝒏𝜽 + 𝒄𝒐𝒔𝒆𝒄𝒏𝜽 िा मान
या होगा ?
1) 2𝑛 2) 21
𝑛
3) 2 4) 0
Q.19. If 𝟐𝒙+𝟒 − 𝟐𝒙+𝟐 = 𝟑 then the value of ‘x’ is
यकि 𝟐𝒙+𝟒 − 𝟐𝒙+𝟐 = 𝟑 हो तो ‘x’ िा मान ञातात िीत्रज ?
The Gurukul of Math’s
By Sahil Sir Join Paid Course: Use Referral SAHIL10
Super Session of Math’s 23 Oct. 2019
1) 0 2) 2
3) -1 4) -2
Q.20. Two persons are on either side of a temple, 75 m high,
observe the angle of elevation of the top of the temple to
be 30° and 60° respectively. The distance between the
persons is :
िो व् यत्रि , ि 75 मी र पँच ेमत्रन्दिर िे त्रवलरीत टोरों लर, ि
सीिी रेखा में खी े ह ैऔर मकंिर िे तीर् ुिा उन्द नयन िोर् िेखत ेह।
जो ि िो 30° और 60° िस्रे िो ्रततीत होता ह ै िोनों व् यत्रि यों
िे लीच कितनी िर्ी ह ै?
1) 173.2 m 2) 100 m
3) 157.7 m 4) 273.2 m
Q.21. If the difference between compound and simple
interest on a certain sum at the rate of 5% per annum
for 2 years is Rs. 20, then the sum is :
The Gurukul of Math’s
By Sahil Sir Join Paid Course: Use Referral SAHIL10
Super Session of Math’s 23 Oct. 2019
यकि िोई िन रात्रत 5% वार्र्िु िर लर 2 वर् ुिे त्रे िी जाती ह ै
तो उस लर ेगन ेवाे ेचरयमवतृ्रि ब् याज और सािारर् ब् याज में ₹ 20
िा अन्द तर ह,ै तो लता वह रात्रत या ह ै?
1) ₹ 2000 2) ₹ 4000
3) ₹ 6000 4) ₹ 8000
Q.22. Ratio of A’s age to B’s age is 4 : 3 ‘A’ will be 26 years
old after 6 years. The age of B now is :
A िी आय ुऔर B िी आय ुिा अनलुात 4 : 3 ह ै 6 वर् ुलश् चात A
26 वर् ुिा हो जा गा B िी वतमुान आय ु या ह ै?
1) 9 years 2) 12 years
3) 21 years 4) 15 years
Q.23. If the Arithmetic mean of 7, 85, 13, X and 9 is 10, then
the value of X is :
यकि 7, 5, 13, X तथा 9 िा औसत 10 हो तो X िा मान या
होगा ?
The Gurukul of Math’s
By Sahil Sir Join Paid Course: Use Referral SAHIL10
Super Session of Math’s 23 Oct. 2019
1) 10 2) 12
3) 14 4) 16
Q.24. A man sells an article at 15% profit. If he had sold it
for 6 more, he would have gained 18%. The man
bought the article for
ि व् यत्रि किसी वस् त ुिो 15% ेाभ लर लचेता ह ै यकि उसन े स े
6 अत्रिि लर लचेा होता, तो उस े18% िा ेाभ होता व् यत्रि न ेवह
वस् त ुकितन ेु.लय ेमें खरीिी थी ?
1) 100 2) 150
3) 200 4) 250
Q.25. A’s salary was decreased by 50% and subsequently
increased by 50%. How much percent does he lose ?
A का्वतेन्50% घटा्दिया्गया्औि्बाि्में्50% बढा्दिया्गयाा।्उसे्ककतने्प्रततशत्की्हातन्हुई?
1) 25% 2) 50%
The Gurukul of Math’s
By Sahil Sir Join Paid Course: Use Referral SAHIL10
Super Session of Math’s 23 Oct. 2019
3) 6.25% 4) No loss
The Gurukul of Math’s
By Sahil Sir Join Paid Course: Use Referral SAHIL10
Super Session of Math’s 23 Oct. 2019
The Gurukul of Math’s
By Sahil Sir Join Paid Course: Use Referral SAHIL10
Super Session of Math’s 23 Oct. 2019
Step
1
The Gurukul of Math’s
By Sahil Sir Join Paid Course: Use Referral SAHIL10
Super Session of Math’s 23 Oct. 2019
Step
2
Step
3
The Gurukul of Math’s
By Sahil Sir Join Paid Course: Use Referral SAHIL10
Super Session of Math’s 23 Oct. 2019
Step 4
St
The Gurukul of Math’s
By Sahil Sir Join Paid Course: Use Referral SAHIL10
Super Session of Math’s 23 Oct. 2019
The Gurukul of Math’s
By Sahil Sir Join Paid Course: Use Referral SAHIL10
Super Session of Math’s 23 Oct. 2019
The Gurukul of Math’s
By Sahil Sir Join Paid Course: Use Referral SAHIL10
Super Session of Math’s 23 Oct. 2019
Solution
1-D 2-D 3-A 4-A 5-C 6-B 7-C 8-A 9-D 10-B
11-C 12-C 13-B 14-B 15-C
16-A 17-C 18-C 19-D 20-A 21-D 22-D 23-D 24-C 25-A