![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 person lent Rs.8000 partly at the rate of 5% and partly at the rate of 6% per annum simple interest. The total interest after 2 years is Rs.820 then in which ratio will Rs.8000 is to be divided?
एक व्यक्ति 8000 रूपए का कुछ भाग 5% वार्षिक और शेष भाग 6% वार्षिक साधारण ब्याज की दर पर उधार देता है। दो वर्ष बाद कुल ब्याज 820 रूपए प्राप्त होता है तो 8000 रूपए को किस अनुपात में बांटना होगा?
(A) 13: 5
(B) 12: 5
(C) 15: 4
(D) 7: 1
Q. 2. If the measures of one side and one diagonal of a rhombus are 38 cm and 46 cm. respectively then its area is- (Approx.)
यदि किसी समचतुर्भुज की एक भुजा तथा उसके एक विकर्ण की माप क्रमशः 38 सेमी और 46 सेमी है तो उसका क्षेत्रफल होगा- (लगभग)
(A) 1380 cm.2/सेमी.2
(B) 1420 cm.2/सेमी.2
(C) 1500 cm.2/सेमी.2
(D) 1748 cm.2/सेमी.2
Q. 3. The radius of a circle is increased by 2% how much does the area of the circle increase?
किसी वृत्त की त्रिज्या में 2% की वृद्धि की जाती है उस वृत्त के क्षेत्रफल में कितनी वृद्धि होती है?
(A) 2%
(B) 4.40%
(C) 4%
(D) 4.04%
Q. 4. If (x + n) is the HCF of (x2 + ax + b) and (x2 + cx + d), then what is the value of n?
यदि (x2+ ax + b) और (x2 + cx + d) का म.स.प. (x + n) है, n का मान क्या है?
(A) ![](data:image/png;base64,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)
(B) ![](data:image/png;base64,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)
(C) ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAC8AAAA4CAYAAABt9KGPAAAB3ElEQVRoBe2ZUZKDIAxAORcH4jyexst4mOwERAKhgCkrbSf9sWsleb4ER1gDX/wxX8wOCr+qempezQsMaNsIpE0ZouanaBQEUfMCaVOGqPkpGgVBuPljA2sMuF0Q7e6QN3Pl8Gcw8wT87gDzvJMrh0dzYhsHbNbBrYKJc4US/yo8mgxlNcbCdvQaesz87mLMdJTOr5fmKXBI2GuJPryPYzeIHuKNTIfPA+7gKpM4Jo8Tjx1pEN/fRQWf6fkAb5u90zZ/bBaMKar3CHzNGpsCbXjwj8bHzSOUAUNbgIHjiQ48hOpl9qeb9496LHF6GrTbJd5JDx6vizeQYsc8XTcxDTnypw358dO/KvyqCql5NS8wkLVNfGytOt7lz+DvDl59vcKvqoCaV/MCAxPbZuStUkDYGPJ78GHJRt65h162R83jdXdj1/Vz8+WSr7Z8q8YagQ/gl4vh2NWE7X8ip92BYu15xkq/E5NkBcaWjghLtj7qSONnuXmyDPSGhu30zft2/Fd4D0u2KCbChx0EEntccvVKZj5M1tQm5d/VKP5k3/y1AL+aPmzsuuZ+0OuMDP5KcPaudc7v1+NrMs3JQ47A46hiB+GNNqrAc6xPPaPwqyqj5tW8wIC2jUDalCF//pwS9Eao3cUAAAAASUVORK5CYII=)
(D) ![](data:image/png;base64,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)
Q. 5. The cost of two articles are in the ratio 3: 4. If there is 10% loss on the first article and 20 % gain on the second article. What is overall percentage of loss or gain?
दो वस्तुओं के क्रय मूल्य का अनुपात 3 : 4 है। यदि पहली वस्तु पर 10% की हानि होती है और दूसरी वस्तु पर 20% का लाभ होता है, तो सम्पूर्ण लाभ या हानि क्या है?
(A) 6.93% profit/लाभ
(B) 7.14 % profit/लाभ
(C) 8.25%% profit/लाभ
(D) 1.25% % profit/लाभ
Q. 6. The two numbers are in the ratio of 14: 11. If 3/7 part of the first number is equal to 24 then what will be 9/11 part of the second number?
दो संख्याओं के बीच का अनुपात 14 : 11 है। यदि पहली संख्या का 3/7 भाग 24 है तो दूसरी संख्या का 9/11 भाग क्या होगा ?
(A) 44
(B) 56
(C) 36
(D) 45
Q. 7. A Shatabdi express train, owing to a defect in the engine, goes at 5/8 of its proper speed and arrives at 6:49 p.m. instead of 5:55 p.m. At which hour did it start?
एक शताब्दी एक्सप्रेस ट्रेन के इंजन में कमी आ जाने के कारण यह सामान्य चाल की 5/8 गुनी चाल से चलती है व 5:55 pm के स्थान पर 6:49 pm पर पहुंचती है। कितने बजे इसने चलना आरम्भ किया था?
(A) 4: 15 p.m.
(B) 4: 15 a.m.
(C) 4: 25 p.m.
(D) 4: 24 a.m.
Q. 8. If the common factor of x2 + bx + c and y2 + my + n is (y + a), then the value of a is -
यदि y2+ by + c और y2 + my + n का उभयनिष्ठ गुणनफल (y + a) है, तो a का मान है -
(A) ![](data:image/png;base64,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)
(B) ![](data:image/png;base64,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)
(C) ![](data:image/png;base64,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)
(D) ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACgAAAAnCAYAAAB9qAq4AAABk0lEQVRYCe2YDQ7CIAyFey4OxHk4DZfZYWr4ER5dB1OMmxETI93W8vFalEp88xfN823sjGU/H0iN8KuAQRViovy2PX3OKOjZErH1ELcbs4qpKJiCFH9vmciw26pTOxoBJri02BxnGLPOsAcMzsbxIQ8zewvqPlXGz7K6PNHm2EQF0e4tugO4OTMErO5hNFIwPKIBhpS3kTRLV5Be2ZXfBuRcM7i8zbE9LMKvAwahsbBpkPIRIMYy7HxKd7NptNzma/sUdx6+4tYCnFV9KfgfCpZDAf5cXThG1VcNohrvjJeC76iGPlVBeSTCpy4cJ8AMF3YzHmIu5CpT/4iCgffWKW4Aw/nu2XOc6xtKPrRBaZAgbqwjaWvOzLsUYweXmqNXjv9iEqjtEjcCBwHOdXg7wHaTpNMwXvtMRwebMS7iOFOnAM1hPyIU00xZ2yNbxOgDDlYnYunmCEjeF1E6gLmIMb/C+ZQpAUa2CFoB4zeNqf/HEPFUauNE2NERW4cdnbT1OmwABfwtzAU4m4al4FJwVoFZ/wcCVk+739Kr7gAAAABJRU5ErkJggg==)
Q. 9. If
and
then
=?
यदि
और
तो
=?
(A) 990
(B) 970
(C) 1000
(D) 1100
Q.10. If a and b are positive quantities and
then which of the following is true
यदि a और b धनात्मक राशियाँ हैं और
तो ज्ञात कीजिये कौन सा कथन सत्य हैं
(A) x < y >z
(B) x > y < z
(C) x < y < z
(D) x > y > z
Answer key:
1. Sol. (D)
Let the first part be Rs. x/माना पहला भाग x रु. है ।
820 = ![](data:image/png;base64,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)
82000 = 10x + 96000 – 12x
14000 = 2x
x = 7000
Other part/दूसरा भाग = 8000 – 7000 = 1000
Required ratio/अभीष्ट अनुपात = 7000: 1000 = 7: 1
2. Sol. (A)
Area of rhombus/समचतुर्भुज का क्षेत्रफल = ![](data:image/png;base64,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)
=![](data:image/png;base64,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)
3. Sol. (D)
Increase in area/क्षेत्रफल में वृद्धि =
% = 4.04%
4. Sol. (D)
On putting x = - n in the above given polynomials. / x = - n उपर्युक्त बहुपद में रखने पर
n2 – an + b = 0 … (I)
and/और n2 – nc + d = 0 … (II)
From (I) and (II), we get /(I) और (II) से, हम प्राप्त करते हैं
n2 – an + b = n2 – nc + d
– an + b = – nc + d
a(c – a) = (d – b)
a = ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGoAAAA5CAYAAADeO77OAAAEYUlEQVR4Ae1biY3EIAxMXSko9aSaNLPFcOL/DJgvOCdOOiVLwB7PYGAhe7D99wkGjk+g3CDZFuojnWAL9V2hHnZdDwn4z3UxGkjW0xFk1MOuA0HO72bncbAuPVE2kHjW8zgdgScUqgc/FzuOQ/w3C6VE4nbKNuhk+HQ1Mg6sUJy8MmvSFCobMl75owobz3Wy+1ew1/K4AkOLea9Npy8j1HNherdy3elUWKmxwbMY24k8djIflH9cVmfsYB4NGIWUUHwuyPdaLqQe8vS1izsj1I/dp7adwCDqIuZODGluHYPBLZx03+lLClUgQoh03kyPPlq0EUIdTgeRdiFByh2pid5O8qp8dvqSQonUhAjSc0nQ0xNOtYA646KrqyxogwsCDcGp8iqq4soGAyKr49bFEogPl4KiAadCUajffbIjXLKbAB1LtbegDSnIGa0c5gqFy+q6AIVIA0eholBMZBsuo6pCgYQSZYEvYXSuUH4vh31B2eGNGK4RKA4o3grCykIxCdzLqk6nAl9kQw0/bsAmEJg887j1JsLADUlfcVbjncwYhaRQAjDUkzU4LZZendkryKtuVrjKgKytNDncfw5fwVHqMSRUkYuUMad8wigkhRK9aAIRDvauW0FeYrHTYzgSKpfVNY50x3YwR75q7DF7zMHH4J7sqHNbWZv30Eng8FldidlMGXbE0HNaSygqo9QyvMVCLf6G+tO2kBqwrGpiheLT6Kw9ta7o9qYsp88TSqx4iGUVake/qyN8o3EglEirafNBLSWk583aYDrrx0J1GlzRvOrL6AqAA3z+C6EG8EDehBBKLxu/ch3B6upYa2P4Fxm1h75a2Xf9aQwkMmr9d5e9LPc1B4Ti+1TOHpVf/8VPVHC8GHLGVSQUrZ68PrMz3L36yBeK7/CS25kgvKv/olSeUCR3AibunL/Ic7crR6hJh3O9EGedRfXierm9FSpLiPuWzjFsLzA8C4LPnOZ3IByOFmXG8WaFEsfH0GpPOjNTF3TM3BQD/6GBM/8k7XKhJh5qig6KwVEb5FjeykJxAp3XnlJwe3YHbFuHMONoslDGDz+P06exMQ77TNcJrqYnK4NI3hz32duiUGJYQAiV9ZJ4qIccEeOqjBKH2/zdRZW1SRyJIBLFo3krCiXf64OGxARCbLEgxLGbJGhyRqFxYANT9UK7lc3D6laocKw2NSVR3kT/u9kVvc1qGqBuZDbZISb8bI1w/7aeLR9zF/oNP7d7GcubFSr7yphyqn7AhpmzygH6Ns/rEr9iNEOQNpBdjepKPVckjiYXvu0e3hyh5GQazolN+EY24kMIOVAjA8TZ8oQSvwIkRgrNN6Nw5I6s5QtF7pWxvSmrxY6EovTKGK2dfE3ZmisgFI1XxvgXTGKj8BqFlFdYqKWQtnOIgS0UxArBsi0UQVEgSFsoiBWCZVsogqJAkLZQECsEy7ZQBEWBIG2hIFYIlm2hCIoCQdpCQawQLNtCERQFgrSFglghWPYHMjxopi4QVFkAAAAASUVORK5CYII=)
5. Sol. (B)
Let the C.P. of two articles be 3x and 4x respectively/माना दोनों वस्तुओं के क्रय मूल्य क्रमशः 3x और 4x है ।
S.P. of first article/पहली वस्तु का विक्रय मूल्य = ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGkAAAA1CAYAAABCzsW2AAAEBUlEQVR4Ae2ai5GtIAyGrcuCrMdqaMZi2OERIAEEBBHOcmfueBSQ5P9CeKwbX/+GV2Ab3sJlIF+QJgiCBWlBmkCBCUxcI2lBmkCBCUxcI2lBmkCBCUzMGEmMH9vGN/3/YBN49YqJ9zpc5240Aq22befnVW9MApIw7ODARRli7+u7n+UNFz936zcAsQGLARpI+8kbMEpsZq+LdCKMaRMds+CRdrKTjAgBbeMbUGLMBLLxix18bzGMOE9AMj3qH9fJdzCMlv2ze3Y4kAK+s6NdMCfSndO7AISGr44mOVcJg2DItzPO6X2wn8r3eLwyfjTUKgsS5GCVa21uFsrJMm0QO3DZYMq2M8cLWPLqSKp7qlUWJDABYOFca0dUPLLgDb9xTaWyePkzrYogca46wZDkcOL7P1lQiEC9D0aa6khgilFYqFUhJM7FhImNVEYxuU/48XRH09h18hP2J8CC1oHn8vpMqzJIXi4WI8uCSa14kL2z3bAjsFm1voM796nO1i/R6h4SNSyyYpEjSw5jfTKB6oH5dVfplD718NItLGBeOhWBudhsUnU/Zp9kXIulOjIXFWp1D8l0/u0PHHVqqY9AyWCCKFXlOCV/a39t7+NDklEHALS7CIqKUgRFlL8wmmvFftr+Q0gi4on4wgs67yEg2k2dLmyaJRtoWU6ePVVogHYfQhLeE1AUkKwiJmwiuAspBFG+l65CB1D7oQkfQ3JAhQBJp9Qcg9KXBKPBFUByFx/eIkAsBlDOfKjoC80GgKRB3c0heuRgYXWqDEFyR9oLovV+pQcJC2H/2Nfiedg5nfKiI4m2IqceEkgoHZJn9DWZ9y38zn1HzCQPUqziO88z5iTSsXtIqYr81Z1fR9Vc6Y6Imb4lgKBBdETBhjCwIhQpz6RLNYcNOr2Al0XXj0dShq16fhEpA21gSVP3VOCXAAk3x4dEYPzH2wgknVpMCsHSpKI2VY7fNvNdnU65ngcgqZwuVyQhSGjJG8j/qfJcy4avV6lTgX8BSKp1eIXkr6Q4mrRT5QWWTVL1mU5lzpVBSu1JUuVltk1ROwipsQ5lkFAqAw2dlJcqhyY/dA1CaqzDglQZMHNA0vsYuTcJRZBbXinIiM2zIVXoUDaSUrk2VT6iypU2BSE11qEMkv6ky93RYyP91R0ur1RkwOZh/9rqEIUkDyNj+yTz3Fk0gIAi5d2VQ70fuT7WqcD/ACRnkya/ivGP/GX03HyZkyovsG/gqvU65ToXgJTbdNXrpcCC1Evpin4WpArxejVdkHopXdHPglQhXq+mC1IvpSv6WZAqxOvVdEHqpXRFPwtShXi9mvaDhI6Lerk3Qz/45MI9FwXrO0HShpgzPej+v1/FQaz9jhCO0yioP7BPYJPVIV4YAAAAAElFTkSuQmCC)
S.P. of second article/दूसरी वस्तु का विक्रय मूल्य = ![](data:image/png;base64,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)
Total S.P./कुल विक्रय मूल्य = ![](data:image/png;base64,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)
Total C.P./ कुल क्रय मूल्य = 3x + 4x = 7x
Profit/लाभ = ![](data:image/png;base64,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)
Profit/लाभ% =
= 7.14%
6. Sol. (C)
k = 4
Numbers are/संख्याएं हैं = 56, 44
Required value/अभीष्ट मान =
= 36
7. Sol. (C)
T = 90
Required time/अभीष्ट समय = 5: 55 p.m. – 90 minutes/मिनट = 4: 25 p.m.
8. Sol. (A)
On putting y = - a in the above given polynomials. / y = - a उपर्युक्त बहुपद में रखने पर
a2 – ab + c = 0 … (I)
and/और a2 – ay + n = 0 … (II)
From (I) and (II), we get /(I) और (II) से, हम प्राप्त करते हैं
a2 – ab + c = a2– am + n
– ab + c = – am + n
a(m – b) = (n – c)
a = ![](data:image/png;base64,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)
9. Sol. (B)
10. Sol. (D)
We know that/हम जानते हैं कि,
A.M. > G.M. > H.M. = ![](data:image/png;base64,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)
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