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Saturday, 25 August 2018

SSC CPO : Quantitative Aptitude Quiz | 25- 08 - 18

Mahendra Guru : Online Videos For Govt. Exams
SSC CPO : Quantitative Aptitude Quiz | 25- 08 - 18
In SSC exam, quantitative Aptitude section is more scoring and easy, if you know the shorts tricks and formulas of all the topics. So, it is important to know the basic concepts of all the topics so you can apply the short tricks and solve the question with the new concepts 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 analyse 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 exams like Insurance, SSC-MTS, SSC CPO, CGL, CHSL, State Level, and other Competitive exams.

Mahendra Guru also provides you important notes 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. If, then the value of is:

यदि, तो का मान है:
(A) 1
(B) – 1 
(C) 2
(D) – 2 

Q.2. If x = k3 – 3k2 and y = 1 – 3k, then for what value of k, will be x = y?

यदि x = k3 – 3k2 और y = 1 – 3k, तो k के किस मान के लिए x = y होगा?
(A) 0
(B) 1
(C) – 1 
(D) 2 

Q.3. The marked price of an article is Rs. 500. A shopkeeper gives a discount of 5% and still makes a profit of 25%. The cost price of the article is: 

एक वस्तु का अंकित मूल्य रू 500 है। दुकानदार 5% की छूट देता है और फिर भी 25% का लाभ कमाता है। वस्तु का क्रय मूल्य है:
(A) Rs.384
(B) Rs.380
(C) Rs.300
(D) Rs.376

Q.4. A can do a piece of work in 12 days and B in 15 days. They work together for 5 days and then B left. The days taken by A to finish the remaining work is: 

A एक काम को 12 दिन में और B, 15 दिन में कर सकता है । वे मिलकर 5 दिन काम करते हैं और फिर B काम छोड़ देता है। A द्वारा शेष काम को पूरा करने के लिए कितने दिन लिए गए?
(A) 3
(B) 5
(C) 10 
(D) 12 

Q.5. The simplest value of cot 9o cot 27o.cot 63o.cot 81o is:

cot 9o cot 27o.cot 63o.cot 81o का सरलतम मान है:
(A) 0
(B) 1 
(C) – 1 
(D)

Q.6. The ratio of the ages of two persons is 4: 7 and the age of one of them is greater than that of the other by 30 years. The sum of their ages (in years) is: 

दो व्यक्तियों की आयु का अनुपात 4: 7 है और उनमें से एक की आयु दूसरे की अपेक्षा 30 वर्ष अधिक है। उनकी आयुओं का योगफल (वर्षों में) है:
(A) 110
(B) 100
(C) 70
(D) 40 

Q.7. The value of θ, which satisfies the equation tan2 θ ÷ 3 = 3 sec θ, 0o < θ 90o is:

समीकरण tan2 θ ÷ 3 = 3sec θ, 0o θ < 90o को संतुष्ट करने वाले θ का मान है:
(A) 15ooor 0o
(B) 30o or 0o
(C) 45o or 0o
(D) 60o or 0o

Q.8. A right pyramid 6 m high has a square base of which the diagonal is m. Volume of the pyramid is: 

6 मी. ऊँचे एक लम्ब पिरामिड का आधार एक वर्ग है जिसका विकर्ण मी. है। पिरामिड का आयतन है:
(A) 144 m3/मी.3
(B) 288 m3/मी.3
(C) 576 m3/मी.3
(D) 1152 m3/मी.3

Q.9. A train running at the speed of 84 km/hr. passes a man walking in opposite direction at the speed of 6 km/hr. in 4 seconds. What is the length of the train (in metre)?

84 किमी/घं. की गति से चल रही एक रेलगाड़ी विपरीत दिशा में 6 किमी/घं. की गति से चल रहे एक आदमी को 4 सेकण्ड में पार करती है। गाड़ी की लंबाई (मीटर में) क्या है?
(A) 150 
(B) 120
(C) 100
(D) 90

Q.10. The value of sin265o + sin225o + cos235o + cos255o is:

sin265o + sin225o + cos235o + cos255o का मान हैः
(A) 0
(B) 1
(C) 2 
(D)

ANSWER KEY:
Q1. (A) 

Q2. (B) x = k3 – 3k2, y = 1 – 3k
k3 – 3k2 = 1 – 3k
k3 – 3k2 + 3k -1 = 0
k3 – 1 – 3k (k – 1) = 0
(k – 1)3 = 0
k = 1

Q3. (B) SP of article/वस्तु का विक्रय मूल्य = = 475
125 CP/क्रय मूल्य = Rs.47500
CP/क्रय मूल्य = Rs.380

Q4. (A) A ……… 12              5
                                        60         
                  B ……… 15              4
According to the question/प्रश्नानुसार,
5(5 + 4) + 5x = 60
5x = 60 – 45 
5x = 15
x = 3

Q5. (B) cot 9o cot 27o.cot 63o.cot 81o 
= cot 9o cot 27o.cot (90o – 27o) .cot (90o – 9o)
= cot 9o cot 27o.tan 27o. tan9o = 1

Q6. (A) Let their ages be 4x and 7x/माना उनकी आयु क्रमशः 4x और 7x हैं ।
7x – 4x = 30
3x = 30
x = 10 years/वर्ष
Sum of their ages/उनकी आयुओं का योग = 4x + 7x
= 11x = 11×10 = 110 years/वर्ष

Q7. (D) tan2 θ + 3 = 3sec θ
sec2 θ – 1 + 3 = 3sec θ
sec2 θ – 3 sec θ + 2 = 0
sec2 θ – 2 sec θ – sec θ + 2 = 0
(sec θ – 2) (sec θ – 1) = 0
sec θ – 2 =0
sec θ = 2
sec θ = sec 60o
sec θ – 1 = 0
sec θ = 1
sec θ = sec 0o
θ = 60o, 0o

Q8. (D)
a = 24
Area of square/वर्ग का क्षेत्रफल = 24 × 24 = 576
Volume of pyramid/पिरामिड का आयतन =
= 1152 m3/मी.3

Q9. (C) Relative speed/सापेक्ष चाल = 84 + 6 = 90 km/hr. /(किमी./घंटा)
= m/s. /(मी./से.)
Length of train/ट्रेन की लम्बाई = 25 × 4 = 100 m. /मी.

Q10. (C) sin265o + sin225o + cos235o + cos255o
= sin265o + sin2 (90o – 65o) + cos2 (90o – 55o) + cos255o
= sin265o + cos265o + sin255o + cos255o
= 1 + 1
= 2

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