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

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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