![SSC CHSL Quiz : Quantitative Aptitude | 23 -03-2020 SSC CHSL Quiz : Quantitative Aptitude | 23 -03-2020](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhaNQtukPFfUWKbN4H9mhOc1cd7sSWatPUOHocVsRfMsoakPM00v6mybgf5277YXuZjXSYrGmiZbePvkKj4GQuXUXj1UcHd4UIFOZ6pV2sweskdGWN2_w4kbyEFjD_GCq98eMn6GFtx34M/s1600/Maths+quiz.jpg)
As SSC CPO notification is out and candidates have started their preparation for this exam. Mahendras also has started special quizzes for this examination. This series of the quizzes are based on the latest pattern of the CPO examination. Regular practice of the questions included in the quizzes will boost up your preparations and it will be very helpful in scoring good marks in the examination.
Q-1 A path of 5 m in width is made on the inner part of the fence of a rectangular field. If the length and breadth of the field is respectively 18 m and 15 m then find the area of the path.
एक आयताकार खेत के चारों ओर अन्दर से सीमा से लगा हुआ 5 मी चौड़ा मार्ग बना है। यदि खेत की लम्बाई, चौड़ाई क्रमशः 18 मी. और 15 मी. हो तो मार्ग का क्षेत्रफल ज्ञात कीजिये।
A. 245sq. m
B. 230 sq. m
C. 240 sq. m
D. 235 sq. m
Q-2 20 litres of mixture contains milk and water in the ratio of 3 : 1. Then the amount of milk to be added to the mixture so as to have milk and water in ratio 5: 1 is
20 लीटर मिश्रण में 3 : 1 के अनुपात में दूध और पानी है। तो मिश्रण में मिलाई जाने वाली दूध की मात्रा ज्ञात कीजिये जिससे दूध और पानी का अनुपात 5 : 1 हो जाय।
A.10 litres
B.12 litres
C.15 litres
D.16 litres
Q-3 The largest two digit number(N), which when divided by 3, 4 and 6 leaves the remainder 1,2 and 4 respectively. What is the remainder when N is divided by 5?
सबसे बड़ी दो अंकों की संख्या(N), जिसे क्रमशः 3, 4 और 6 से विभाजित करने पर 1,2 और 4 निकलते हैं। N को 5 से विभाजित करने पर क्या शेष है?
A.8
B.9
C.4
D.3
Q-4 A boat rows downstream 21 km in 105 minutes and upstream in 180 minutes. What is the time taken (in hours) by the boat to travel a distance of 323 km in still water?
एक नाव अनुप्रवाह में 21 किमी की दूरी 105 मिनट में और ऊर्ध्वप्रवाह में 180 मिनट में तय करती है । शान्त जल में 323 किमी की दूरी तय करने के लिए नाव द्वारा लिया गया समय (घंटों में) क्या है?
A.23 hours
B.45 hours
C.32 hours
D.34 hours
Q-5 A, B and C started a business in partnership by investing Rs 8000, Rs 3000 and Rs.5000 respectively. Condition of partnership is that B got Rs 100 per month for management of the business. Remaining profit has to be distributed in the ratio of their investments. Find the profit share of B, if the annual profit is Rs 6000.
A, B और C क्रमशः 8000 रुपये , 3000 रूपये और 5000 रुपये निवेश करके साझेदारी में कारोबार शुरू किया। साझेदारी की शर्त यह है कि B को प्रति माह 100 रुपये व्यापार के प्रबंधन के लिए मिलेंगे। शेष लाभ को उनके निवेश के अनुपात में वितरित किया जाना है। यदि वार्षिक लाभ 6000 रुपये है, तो B के लाभ का हिस्सा ज्ञात कीजिये।
A. Rs 2100
B. Rs 3000
C. Rs 2800
D. Rs 2500
Q-6 If in a triangle ABC, BE and CF are two medians perpendicular to each other and if AB = 19 cm and AC = 22 cm then the length of BC is:
यदि त्रिभुज ABC में, BE और CF एक दूसरे के लम्बवत् दो माध्यिका रेखाएँ हैं और यदि AB = 19 सेमी तथा AC = 22 सेमी तो BC की लंबाई कितनी है?
A. 15 cm.
B. 13 cm.
C. 16 cm.
D. 18 cm.
Q-7 If a + b = 1, b + c = 2 and c + a = 3, then the value of (a2 + b2 + c2 + ab + bc + ca) is –
यदि a + b = 1, b + c = 2 और c + a = 3 हो, तो (a2 + b2 + c2 + ab + bc + ca) का मान है –
A.4
B.9
C.7
D.8
Q-8 In an election between two candidates, 10% of the voters did not cast their votes while 10% of the votes polled were declared invalid. If the winning candidate got 54% of the valid votes and won by 1620 votes then find the total number of voters in the voter list.
दो उम्मीदवारों के बीच एक चुनाव में, 10% मतदाताओं ने अपने वोट नहीं डाले, जबकि मतदान के 10% मत अवैध घोषित किए गए। यदि विजयी उम्मीदवार को 54% वैध मत मिले और 1620 मतों से विजयी हुआ, तो मतदाता सूची में कुल मतदाताओं की संख्या ज्ञात कीजिये ।
A. 25000
B. 35000
C. 45000
D. 55000
Q-9 A person sells an article at a profit of 10%. If he had bought the article at 5% less cost and sold for Rs.80 more. He would have gained 20%. The cost price of the article is
एक व्यक्ति 10% के लाभ पर एक वस्तु बेचता है। यदि उसने इस वस्तु को 5% कम कीमत पर खरीदा होता और रु.80 अधिक में बेचा होता । तो उसे 20% का लाभ होता । वस्तु का लागत मूल्य है
A. 4000
B. 3000
C. 2000
D. 1000
Q-10 If α is an acute angle and 2 sin α + 15cos2α = 7, then the value of cot α is:
यदि α एक न्यून कोण है और 2 sin α + 15cos2α = 7, तो cot α का मान है
A.3/5
B.3/4
C.4/5
D.2/3
ANSWER KEY ---------
Q-1 (B)
Area of the path = 2 × 5 (18 + 15 - 2 × 5) = 10 × (33 – 10)
= 10 × 23 = 230 sq. m.
मार्ग का क्षेत्रफल = 2 × 5 (18 + 15 - 2 × 5) = 10 × (33 – 10)
= 10 × 23 = 230 वर्ग मी.
Q-2 (A)
According to the question,
15 + x = 25
x = 10
प्रश्नानुसार,
15 + x = 25
x = 10
Q-3(C)
The number is =94=4
वह अभीष्ट संख्या = 94 है =4
Q-4 (D)
Speed downstream =
= 12 kmph
Speed upstream =
= 7 kmph
Required time to travel the given distance in still water =
= 34 hours
अनुप्रवाह चाल =
= 12 किमी./घंटा
ऊर्ध्वप्रवाह चाल =
= 7 किमी./घंटा
दी गयी दूरी को स्थिर जल में तय करने में लिया गया समय =
= 34 घंटे
Q-5 (A)
Ratio of investment A: B: C=8000:3000:5000=8:3:5
B got 100 ×12 = 1200
=6000-1200
remaining amount = 4800
share of B=![](data:image/png;base64,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)
निवेश का अनुपात A: B: C=8000:3000:5000=8:3:5
B को अधिक मिलते है = 100 ×12 = 1200
=6000-1200
शेष राशी = 4800
B का हिस्सा=![](data:image/png;base64,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)
Q-6 (B)
AB = 19 cm.
AC = 22 cm.
a2 + 4b2 = (9.5)2 = 90.25 ...... (I)
and
b2 + 4a2 = 112 = 121 ......... (II)
From (I) and (II),
a2 = 26.25, b2 = 16
4a2 + 4b2 = 4 × 26.25 + 4 × 16 = 169
BC2 = 169
BC = 13 cm.
AB = 19 सेमी.
AC = 22 सेमी.
a2 + 4b2 = (9.5)2 = 90.25 ...... (I)
और
b2 + 4a2 = 112 = 121 ......... (II)
(I) और (II) से,
a2 = 26.25, b2 = 16
4a2 + 4b2 = 4 × 26.25 + 4 × 16 = 169
BC2 = 169
BC = 13 सेमी.
Q-7(C)
a + b = 1, b + c = 2, c + a = 3
(a2 + b2 + c2 + ab + bc + ca) =
(2a2 + 2b2 + 2c2 + 2ab + 2bc + 2ca)
=
[(a + b)2 + (b + c)2 + (c + a)2]
=
(1 + 4 +9) =
= 7
Q-8 (A)
Let total number of voters in the voter list is 100x.
Voters did not cast their vote = 10x
Votes declared invalid = 9x
Winning candidate = 54% of 81x
Loosing candidate = 46% of 81x
According to the question,
8% of 81x = 1620
x = 250
Total number of voters in the voter list = 100 × 250 = 25000
माना मतदाता सूची में मतदाताओं की कुल संख्या 100x है ।
मतदाता जिन्होने वोट नहीं डाला = 10x
अवैध घोषित मत = 9x
जीतने वाला उम्मीदवार = 81x का 54%
हारने वाला उम्मीदवार = 46% of 81x
प्रश्नानुसार,
8% of 81x = 1620
x = 250
मतदाता सूची में मतदाताओं की कुल संख्या = 100 × 250 = 25000
Q-9 (C)
C.P.1 = 100% C.P.2 = 95%
S.P.1 = 110% S.P.2 = 114%
P1% = 10% P2% = 20%
According to the question,
4% = 80
100% = 2000
C.P.1 = 100% C.P.2 = 95%
S.P.1 = 110% S.P.2 = 114%
P1% = 10% P2% = 20%
प्रश्नानुसार,
4% = 80
100% = 2000
Q-10 (B)
2 sinα + 15 cos2α = 7
2 sinα + 15 – 15 sin2α = 7
15 sin2α – 2 sinα – 8 = 0
15 sin2α – 12 sinα + 10 sinα – 8 = 0
(3 sinα + 2) (5 sinα – 4) = 0
sinα = 4/5
cosα = 3/5
cotα = 3/4
0 comments:
Post a Comment
MAHENDRA GURU