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Friday, 12 January 2018

SSC Quiz : Quantitative Aptitude | 12 - 01 - 18

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SSC Quiz : Quantitative Aptitude | 12 - 01 - 18



In SSC exam quantitative Aptitude section is more scoring and easy if you know the shorts tricks and formulas of all the topic. So, it is important to know the basic concept of all the topic so you can apply the short tricks and solve the question with the new concept in lesser time while giving the quiz. It will help you to score more marks from this section in less time period. Quantitative Aptitude section basically measures your mathematical and calculation approach of solving the question. SSC Quiz Of quantitative Aptitude section helps you to analysis your preparation level for upcoming SSC examination. Mahendra Guru provides you Quantitative Aptitude Quiz for SSC examination based on the latest pattern. So that you can practice on regular basis. It will definitely help you to score good marks in the exam. It is the most important section for all the govt exam like Insurance, SSC-MTS, CGL, CHSL, State Level, and other Competitive exams.


You can clear your doubts before exam. Mahendra Guru also provides you an important note and study material for all subject and test through its website, Mahendra Guru App and YouTube channel apart from it Speed Test Portal. Most of these preparation products are also available for purchase on my shop. You can also visit Mahendras.org to get more information about our endeavour for your success. You can also study in details through our E-Mahendras Facebook and Mahendra Guru YouTube channel of Quantitative Aptitude. 

Q.1 – A car run one kilometer in 4 minutes 54 seconds and B can run this distance in 5 minutes. At the start of one-kilometer race, B should stand how much ahead of A, so that both of them reach the finish point together?

A एक किलोमीटर की दूरी 4 मिनट 54 सेकण्ड तथा B यह दूरी 5 मिनट में दौड़ सकता है। किसी एक किलोमीटर की दौड़ में B को A से कितना आगे खड़ा किया जाए ताकि वे दोनों समाप्ति बिन्दु पर एक साथ पहुँचे?


(A) 20 meter/मीटर

(B) 16 meter/मीटर

(C) 18 meter/मीटर

(D) 14.15 meter/मीटर

Sol. :

Let B stand ahead of A/माना B, A से आगे खड़ा किया गया = x meter/मीटर
SSC Quiz : Quantitative Aptitude | 12 - 01 - 18
1000 – x = 980
x = 20 m. /मी.

Q.2 – If SSC Quiz : Quantitative Aptitude | 12 - 01 - 18thenSSC Quiz : Quantitative Aptitude | 12 - 01 - 18
          यदि SSC Quiz : Quantitative Aptitude | 12 - 01 - 18तो SSC Quiz : Quantitative Aptitude | 12 - 01 - 18 


(A) 45.45

(B) 56.56

(C) 67.67

(D) 78.78

Sol.:

SSC Quiz : Quantitative Aptitude | 12 - 01 - 18
SSC Quiz : Quantitative Aptitude | 12 - 01 - 18= 3 × SSC Quiz : Quantitative Aptitude | 12 - 01 - 18+ 5 × SSC Quiz : Quantitative Aptitude | 12 - 01 - 18 + 7 × SSC Quiz : Quantitative Aptitude | 12 - 01 - 18+ 25 × SSC Quiz : Quantitative Aptitude | 12 - 01 - 18
                                    = 40 × SSC Quiz : Quantitative Aptitude | 12 - 01 - 18= 40 × 1.414 = 56.56

Q.3 – A man marks his goods at a price that would give him 20% profit. He sells 3/ 5 of the goods at the marked price and the remaining at 20% discount. What is his gain percent on the whole transaction?


एक व्यक्ति अपनी वस्तुओं को इस प्रकार अंकित करता है उसे 20% का लाभ हो। वह 3/ 5 वस्तुएं अंकित कीमत पर बेचता है और शेष 20% छूट (बट्टे) पर। सारे सौदे में उसका प्रतिशत लाभ क्या है?


(A) 15%

(B) 12%

(C) 10.4%

(D) 8%

Sol:

Let the C.P. of 1 article be Rs.100/माना एक वस्तु का क्रय मूल्य 100 रु. है |
M.P. = Rs./रु.120
S.P. = SSC Quiz : Quantitative Aptitude | 12 - 01 - 18x × 120 + SSC Quiz : Quantitative Aptitude | 12 - 01 - 18x × SSC Quiz : Quantitative Aptitude | 12 - 01 - 18× 120
       = SSC Quiz : Quantitative Aptitude | 12 - 01 - 18
       = Rs./रु.SSC Quiz : Quantitative Aptitude | 12 - 01 - 18
P% = SSC Quiz : Quantitative Aptitude | 12 - 01 - 18
Q.4 – One-third of the population of a town is students. If SSC Quiz : Quantitative Aptitude | 12 - 01 - 18of the students are not college students, then the percentage of college students in the total population is
किसी शहर की एक- तिहाई आबादी छात्रों की है। यदि SSC Quiz : Quantitative Aptitude | 12 - 01 - 18 छात्र कालेज के छात्र नहीं है, तो कुल आबादी में कालेज के छात्रों का प्रतिशत है 


(A) SSC Quiz : Quantitative Aptitude | 12 - 01 - 18

(B) SSC Quiz : Quantitative Aptitude | 12 - 01 - 18

(C) SSC Quiz : Quantitative Aptitude | 12 - 01 - 18

(D) SSC Quiz : Quantitative Aptitude | 12 - 01 - 18

Sol. :

Let total population of a town/माना शहर की कुल जनसँख्या = x
The percentage of college students in the total population
कुल जनसंख्या में से कॉलेज के छात्रों का प्रतिशत
                          = SSC Quiz : Quantitative Aptitude | 12 - 01 - 18
                                                   = SSC Quiz : Quantitative Aptitude | 12 - 01 - 18
                                                   = SSC Quiz : Quantitative Aptitude | 12 - 01 - 18

Q.5 – If SSC Quiz : Quantitative Aptitude | 12 - 01 - 18then find the value of SSC Quiz : Quantitative Aptitude | 12 - 01 - 18

         यदि SSC Quiz : Quantitative Aptitude | 12 - 01 - 18तो SSC Quiz : Quantitative Aptitude | 12 - 01 - 18का मान ज्ञात कीजिये | 


(A) SSC Quiz : Quantitative Aptitude | 12 - 01 - 18

(B) 3

(C) SSC Quiz : Quantitative Aptitude | 12 - 01 - 18

(D) SSC Quiz : Quantitative Aptitude | 12 - 01 - 18

Sol. 

SSC Quiz : Quantitative Aptitude | 12 - 01 - 18
SSC Quiz : Quantitative Aptitude | 12 - 01 - 18

Q.6 – Area of a circle inscribed in a square is 308 cm2.The length of the diagonal of the square is

       किसी वर्ग के अंतर्वृत का क्षेत्रफल 308 सेमी2 है। वर्ग के विकर्ण की लम्बाई है 


(A) 16 cm. /सेमी.

(B) 22 cm. /सेमी.

(C) 24 cm. /सेमी.

(D) 28 cm. /सेमी.

Sol. 

SSC Quiz : Quantitative Aptitude | 12 - 01 - 18
Side of square/एक वर्ग की भुजा = 14
Diagonal of a square/एक वर्ग का विकर्ण = 14 × = 28 cm. /सेमी.

Q.7 – If ax = (x + y + z) y, ay = (x + y + z) z and az = (x + y + z) x, then the value of x + y + z (given a ≠ 0) is

          यदि ax = (x + y + z) y, ay = (x + y + z) z और az = (x + y + z) x, तो x + y + z का मान है (दिया गया है a ≠ 0) 


(A) 0

(B) a 3

(C) 1

(D) a

Sol. :

a x = (x + y + z) y
a y = (x + y + z) z
a z = (x + y + z) x
ax. ay. az = (x + y + z) x + y + z
ax + y + z = (x + y + z) x + y + z
a = x + y + z

Q.8 – The ratio of the areas of two isosceles triangles having the same vertical angle is 1 : 9.The ratio of their heights is -

दो समद्विबाहु त्रिभुजों, जिनका शीर्ष कोण एक समान है, के क्षेत्रफलों का अनुपात 1 : 9 है तो उनकी ऊँचाई का अनुपात है - 


(A) 1 : 3

(B) 1 : 9

(C) 3 : 1

(D) 1 : 81

Sol. :
The ratio of their heights = SSC Quiz : Quantitative Aptitude | 12 - 01 - 18= 1 : 3

Q.9 – If a chord of length 30 cm is at a distance of 8 cm from the center of the circle, then the length of the chord of the same circle which is at a distance of 15 cm from the center is equal to

यदि 30 सेमी लम्बी एक जीवा अपने वृत्त के केन्द्र से 8 सेमी की दूरी पर है, तो उसी वृत्त की उस जीवा की लम्बाई कितनी होगी, जो केन्द्र से 15 सेमी की दूरी पर है?


(A) 12 cm. /सेमी.

(B) 18 cm. /सेमी.

(C) 16 cm. /सेमी.

(D) 20 cm. /सेमी.

Sol.
SSC Quiz : Quantitative Aptitude | 12 - 01 - 18

Length of Chord/जीवा की लम्बाई = = 16 cm. / सेमी.

Q.10 – If SSC Quiz : Quantitative Aptitude | 12 - 01 - 18, (00 < θ < 900) then the value of cos θ is-

            यदि SSC Quiz : Quantitative Aptitude | 12 - 01 - 18, (00 < θ < 900) तो cos θ का मान है- 


(A) SSC Quiz : Quantitative Aptitude | 12 - 01 - 18

(B) SSC Quiz : Quantitative Aptitude | 12 - 01 - 18

(C) SSC Quiz : Quantitative Aptitude | 12 - 01 - 18

(D) 1

Sol.
SSC Quiz : Quantitative Aptitude | 12 - 01 - 18



Answer Key

Q1. (A)

Q2. (B)


Q3. (C)


Q4. (B)


Q5. (D)


Q6. (D)


Q7. (D)


Q8. (A)


Q9. (C)


Q10. (A)

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