![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 AB is a diameter of the circle with centre O. Chord CD cuts AB at E such that OE = EB. If CE = 6 cm and ED = 2 cm, then the radius of the circle is -
O केन्द्र वाले वृत्त का व्यास AB है। जीवा CD, AB को E पर इस प्रकार काटती है कि OE = EB यदि CE = 6 सेमी और ED = 2 सेमी तो वृत्त की त्रिज्या है -
(A) 2 cm/सेमी
(B) 3.5 cm/सेमी
(C) 5 cm/सेमी
(D) 4 cm/सेमी
Q-2 What is the sum of the interior angles of a hexagon?
एक षट्भुज के अन्तः कोणों का योग कितना होता है?
(A) 9000
(B) 8100
(C) 6300
(D) 7200
Q-3 16 children are to be divided into two groups A and B of 10 and 6 children respectively. The average marks obtained by the children of group A is 75 and that of all the children is 76. Then the average marks of the children of group B is :
16 बच्चों को क्रमशः 10 और 6 बच्चों के दो समूहों A तथा B में बाँटना है। समूह A के बच्चों द्वारा प्राप्त अंक 75 हैं और सभी बच्चों के 76 हैं। समूह B के बच्चों के औसत अंक हैं:
(A) 75.67
(B) 77.33
(C) 77.67
(D) 74.25
Q-4 By selling salt at Rs.55.80 per quintal a dealer lost 7%. At what price should he have sold it to gain 7%?
रू 55.80 प्रति क्विंटल पर नमक बेच कर एक व्यापारी को 7% की हानि हुई। उसे 7% लाभ अर्जित करने के लिए किस कीमत पर बेचना चाहिए था?
(A) 64.20
(B) 68.50
(C) 65.75
(D) 70.40
Q-5 The sum of the squares of 3 consecutive odd numbers is 251. What is the sum of the numbers?
3 लगातार विषम संख्याओं के वर्गों का योगफल 251 है। संख्याओं का योग क्या है?
(A) 25
(B) 32
(C) 27
(D) 44
Q-6 If an article is sold at a gain of 6% instead of at a loss of 6%, then the seller gets Rs.6 more. The cost price of the article is -
यदि एक वस्तु 6% हानि पर बेचने के बजाय 6% लाभ पर बेची गई। तो बेचने वाले को रू 6 अधिक मिले तो वस्तु का क्रय मूल्य है -
(A) 75 Rs./रु.
(B) 50 Rs./रु.
(C) 45 Rs./रु.
(D) 30 Rs./रु.
Q-7 A can do a piece of work in 24 days while B alone can do it in 16 days with the help of C, they finish the work in 8 days. In how many days can C alone do the work?
A एक काम को 24 दिनों में कर सकता है। जबकि B इसे अकेले 16 दिनों में कर सकता है। C की मदद से वे काम को 8 दिनों में पूरा करते हैं। कितने दिनों में C अकेला काम को पूरा कर सकता है?
(A) 48 days/दिन
(B) 36 days/दिन
(C) 30 days/दिन
(D) 60 days/दिन
Q-8 A man can row 6 km/hr in still water. It takes him twice as long to row up as to row down the river. Find the rate of stream.
एक आदमी शान्त जल में 6 किमी/घं. की चाल से तैर सकता है। यह धारा की अनुकूल दिशा की अपेक्षा प्रतिकूल जाने में दोगुना समय लगता है। तो धारा की दर क्या है?
(A) 2 km/hr/(किमी./घंटा)
(B) 1.8 km/hr/(किमी./घंटा)
(C) 1.5 km/hr/(किमी./घंटा)
(D) 1.75 km/hr/(किमी./घंटा)
Q-9 A rectangular grassy plot is 116 m by 68 m. It has a gravel path 2.5 m wide all round it on the inside. Find the area of the path.
एक आयताकार घास का मैदान 116 मी. × 68 मी. है। इसके चारों ओर से अन्दर से 2.5 मी. चौड़ा रास्ता है। तो रास्ते का क्षेत्रफल ज्ञात कीजिए।
(A) 775 m2/मी.2
(B) 915 m2/मी.2
(C) 895 m2/मी.2
(D) 825 m2/मी.2
Q-10 The diameter of two cones are equal and their slant heights are in the ratio 5 : 4. If the curved surface of the smaller cone is 200 cm2, then the curved surface of the bigger cone (in cm2) is -
दो शंकुओं के व्यास बराबर हैं और उनकी तिर्यक ऊँचाईयों का अनुपात 5 : 4 हैं। यदि छोटे शंकु का तिर्यक पृष्ठ क्षेत्रफल 200 सेमी2 है तो बड़े शंकु का तिर्यक पृष्ठ क्षेत्रफल क्या है? (सेमी2 में)
(A) 500 cm2/सेमी.2
(B) 420 cm2/सेमी.2
(C) 350 cm2/सेमी.2
(D) 250 cm2/सेमी.2
ANSWER KEY:-
Q.1. Sol-(D)
Q.2. Sol-(D) Req. sum/अभीष्ट योग = (2n - 4) × 900
= (2 × 6 - 4) × 900
= 8 × 900
= 7200
Q.3. Sol-(C) Total marks of group A/ समूह A के कुल अंक = 75 × 10 = 750
Total marks/कुल अंक = 76 × 16 = 1216
Total marks of group B/ समूह B के कुल अंक = 1216 - 750
= 466
Average marks of group B/ समूह B के औसत अंक = ![](data:image/png;base64,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)
Q.4. Sol-(A) C.P. = ![](data:image/png;base64,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)
S.P. = ![](data:image/png;base64,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)
= ![](data:image/png;base64,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)
Q.5. Sol-(C) Let three odd numbers be 2x - 1, 2x+1, 2x+3/माना संख्याएं 2x - 1, 2x+1, 2x+3 है |
(2x - 1)2 +(2x+1)2 + (2x+3)2 = 251
12x2 + 11 + 12x = 251
12x2 +12x - 240 = 0
x = 4, -5
numbers are/संख्याएं हैं - 7, 9, 11
Sum of the numbers/संख्याओं का योग = 7 + 9 + 11 = 27
Q.6. Sol-(B) Let CP of article be Rs x./माना वस्तु का क्रय मूल्य x रु. है |
SP at 10% loss/10% हानि पर विक्रय मूल्य = Rs./रु. 90
12x = 600
x = Rs./रु. 50
Q.7. Sol-(A)
C = 48 days/दिन
Q.8. Sol-(A) Let man's rate upstream be x km/hr./माना आदमी की चाल धारा के ऊर्ध्वप्रवाह x किमी./घंटा है |
Man's rate downstream/आदमी की चाल धारा के अनुप्रवाह = 2x km/hr/(किमी./घंटा)
x = 4
Rate of current/धारा की चाल =
km/hr/(किमी./घंटा)
Q.9. Sol-(C) Area of path/मार्ग का क्षेत्रफल = 116 × 68 - [(116-5)×(68-5)]
= 7888 - 6993
= 895 m2/मी.2
Q.10. Sol-(D) l1 : l2 = 5 : 4
0 comments:
Post a Comment
MAHENDRA GURU