SSC CPO : Quantitative Aptitude Quiz | 12- 08 - 18

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Q.1. ΔABC is right angled at B. If m ∠A = 60°, then what is the value of cosec C?

       ΔABC, B पर समकोण है। यदि m ∠A = 60° है, तो cosec C का मान क्या है?

(A)

(B)

(C)

(D)

Q.2. A sum of ₹ 61200 is divided between two brothers Ram and Shyam who are 18 years and 19 years respectively, in such a way that if their shares are invested at 4% per annum compounded annually, they shall receive the same amount on reaching 21 year of age. What is the share of Ram?

₹61200 की एक धनराशि दो भाई राम और श्याम जिनकी आयु क्रमश: 18 वर्ष और 19 वर्ष हैं, इनके बीच इस प्रकार से वितरित किया गया की यदि इनके भागों को 4% प्रतिवर्ष की ब्याज दर पर निवेश किया जाये तो 21 वर्ष के होने पर इन्हें मिलने वाली धनराशि समान होगी | राम का भाग ज्ञात कीजिये?

(A) Rs.32200

(B) Rs.31200

(C) Rs.30200

(D) Rs.30000

Q.3. If 13 + 23 + 33 + ………. + 93 = 2025 then find the value of (0.11)3 + (0.22)3 + (0.33)3 + ………. + (0.99)3

यदि 13 + 23 + 33 + ………. + 93 = 2025 तो (0.11)3 + (0.22)3 + (0.33)3 + ………. + (0.99)33का मान ज्ञात कीजिये ?

(A) 0.2695

(B) 2.695

(C) 3.569

(D) 0.3695

Q.4. An article's cost price is ₹ 60, a shopkeeper marked its price 20% more. He sold it after allowing two same successive discount percent at ₹ 58.32.By mistake instead of discount he increased the price then what is difference of its selling price?

एक वस्तु का क्रय मूल्य ₹ 60 हैं,एक दुकानदार इसका दाम 20% अधिक अंकित करता हैं |वह इसे दो समान प्रतिशत के क्रमागत छूट देकर ₹ 58.32 रु पर बेचता हैं| यदि गलती से छूट की जगह ये मूल्य में वृद्धि कर दे तो विक्रय मूल्यों का अंतर ज्ञात कीजिये ?

(A) Rs.32.2

(B) Rs.30.2

(C) Rs.28.8

(D) Rs.29.4

Q.5. Simplify/सरलीकरण कीजिये  

        

(A) 28/65

(B) 56/53

(C) 14/65

(D) 24/53

Q.6.

(A)

(B) 2

(C) 1

(D) 0

Q.7. If / यदि sin 63o =. Find the value of का मान ज्ञात कीजिये |

(A)

(B)

(C)

(D)

Q.8. If / यदि x + y + z = 6, x2 + y2 + z2 = 14 and / और  x3 + y3 + z3 = 36 , then / तो  xyz = ?

(A) 3

(B) 6

(C) 9

(D) 0

Q.9. If α and β are the roots of equation ax2 + bx + c = 0, then the value of α – β is-

यदि α और β समीकरण ax2 + bx + c = 0 के मूल हैं, तो α – β का मान ज्ञात कीजिये -

(A)

(B)

(C)

(D) 1

Q.10. The ratio of the slant height and the height of the cone is 13: 12. If the volume of the cone is cm3, the diameter of base of cone

एक शंकु की तिर्यक ऊंचाई  और ऊंचाई का अनुपात 13: 12 हैं | यदि इस शंकु का आयतन  सेमी3 हैं , तो शंकु के आधार का व्यास हैं -

(A) 5 cm./सेमी.

(B) 10 cm./सेमी.

(C) 15 cm./सेमी.

(D) 20 cm./सेमी.

Answer key:

1. (A)

2. (D)

              x = 30000

3. (B)

            

4. (C)

            

5. (B)

             

6. (B)

             

7. (C)

           

8. (B) (x + y + z) 2= x2 + y2 + z2 + 2(xy + yz + xz)

             (xy + yz + xz)=11

             x3 + y3 + z3 – 3xyz = (x + y + z)(x2 + y2 + z2- (xy + yz + xz)

             36 – 3xyz =6 (14 – 11)

             xyz = 6

9. (C)

           

10. (B) 

         

         d = 10 cm/ सेमी