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SSC Quiz : Quantitative Aptitude | 16 - 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.

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Q. 1 - The length, breadth and height of a cuboid are in the ratio of 6: 5: 4 and its whole surface area is 66600 cm3. What is its volume?

एक घनाभ की लम्बाई, चौड़ाई और ऊँचाई 6 : 5 : 4 में है और इसका सम्पूर्ण पृष्ठीय क्षेत्रफल 66600 सेमी3 है। इसका आयतन क्या है?


(A) 96000 SSC Quiz : Quantitative Aptitude | 16 - 01 - 18 cm3/सेमी.3
(B) 96000 SSC Quiz : Quantitative Aptitude | 16 - 01 - 18 cm3/सेमी.3
(C) 81000 SSC Quiz : Quantitative Aptitude | 16 - 01 - 18 cm3/सेमी.3
(D) 64000 SSC Quiz : Quantitative Aptitude | 16 - 01 - 18 cm3/सेमी.3

Sol. (C) – 2(lb + bh + lh) = 66600
        ⇒ 2(6x × 5x + 5x × 4x + 6x × 4x) = 66600
        ⇒ 148x2 = 66600
         ⇒ x2 = 450
         ⇒ x = 15SSC Quiz : Quantitative Aptitude | 16 - 01 - 18
.'. Volume/आयतन = 90SSC Quiz : Quantitative Aptitude | 16 - 01 - 18× 75SSC Quiz : Quantitative Aptitude | 16 - 01 - 18× 60SSC Quiz : Quantitative Aptitude | 16 - 01 - 18
         ⇒ Volume/आयतन = 2 × 90 × 75 × 60= 810000SSC Quiz : Quantitative Aptitude | 16 - 01 - 18cm3/सेमी.3

Q. 2 - A frustrum of a right circular cone has a diameter of base and top 20 cm and 12 cm respectively and a height of 10 cm. Find its volume.

एक घनाभ की लम्बाई, चौड़ाई और ऊँचाई 6 : 5 : 4 में है और इसका सम्पूर्ण पृष्ठीय क्षेत्रफल 66600 सेमी3 है। इसका आयतन क्या है?


(A) 2503.33 cm3/सेमी.3
(B) 2604.44 cm3/सेमी.3
(C) 3032.56 cm3/सेमी.3
(D) 2053.33 cm3/सेमी.3
Sol. (D) – Volume/आयतन = SSC Quiz : Quantitative Aptitude | 16 - 01 - 18
                                          = SSC Quiz : Quantitative Aptitude | 16 - 01 - 18
                                          = SSC Quiz : Quantitative Aptitude | 16 - 01 - 18 cm3/सेमी.3

Q. 3 - If x = 3 cosA.cosB, y = 3cosA sinB and z = 3sinA then, x2 + y2 + z2 is-

यदि x = 3 cosA.cosB, y = 3cosA sinB सेमी. z=3sinA तो, x2 + y2 + z2 है-


(A) 32

(B) 16

(C) 12

(D) 9

Sol. (B) – x2 + y2 + z2 = (4 cos A sin B) 2 + (4cosA sinB)2 + (4 sin A)2
                                    = 16 (cos2A cos2 B + cos2A sin2 B + sin2A)
                                    = 16 (cos2 A - cos2A sin2 B + Cos2 A sin2B + sin2A)
                                    = 16

Q. 4 - If α= 450, then the value of 2 sin (α - 450) + sin (α + 450) + 5 cos 2α.sin (1350 - α) is.

यदि α = 450, तो 2 sin (α - 450) + sin (α + 450) + 5 cos 2α.sin (1350  - α) का मान है-


(A) 0

(B) 1

(C) SSC Quiz : Quantitative Aptitude | 16 - 01 - 18

(D) SSC Quiz : Quantitative Aptitude | 16 - 01 - 18

Sol. (B) – 2 sin (α- 450) + sin (α + 450) + 5 cos 2α.sin (1350 - α)
                              = 2 sin (450 - 450) + sin (450 + 450) + 5 cos 2α × 450.sin (1350- 450)
                              = 2 sin 00 + sin 900 + 5 cos 900.sin 900
                              = 2 × 0 + 1 + 5 × 0 × 1 = 1

Q. 5 - If x*y =SSC Quiz : Quantitative Aptitude | 16 - 01 - 18, when the value of (1*2SSC Quiz : Quantitative Aptitude | 16 - 01 - 18) [1* (- 2SSC Quiz : Quantitative Aptitude | 16 - 01 - 18)] is.

यदि x*y =SSC Quiz : Quantitative Aptitude | 16 - 01 - 18है, तो (1*2SSC Quiz : Quantitative Aptitude | 16 - 01 - 18) [1* - (- 2SSC Quiz : Quantitative Aptitude | 16 - 01 - 18)] का  मान क्या है -


(A) - 7

(B) 0

(C) 2

(D) 9
Sol. (D) SSC Quiz : Quantitative Aptitude | 16 - 01 - 18
                 SSC Quiz : Quantitative Aptitude | 16 - 01 - 18
                                                     = 3 × 3 = 9

Q. 6 - MN is a chord of length 8 cm of a circle of radius 5 cm. The tangents at A and B intersect at a point I. Find the length of IM.

5 सेमी त्रिज्या वाले वृत्त की 8 सेमी लम्बी MN एक जीवा है। A और B बिन्दु I पर प्रतिच्छेदित करती है। IM की लम्बाई ज्ञात कीजिए|


(A) SSC Quiz : Quantitative Aptitude | 16 - 01 - 18cm. /सेमी.

(B) 20 cm. /सेमी.

(C) 3 cm. /सेमी.

(D) SSC Quiz : Quantitative Aptitude | 16 - 01 - 18 cm. /सेमी
.
Sol. (A) – SSC Quiz : Quantitative Aptitude | 16 - 01 - 18
MN = 8, OM = 5
OR = SSC Quiz : Quantitative Aptitude | 16 - 01 - 18= SSC Quiz : Quantitative Aptitude | 16 - 01 - 18= 3
SSC Quiz : Quantitative Aptitude | 16 - 01 - 18
Q. 7 - In a Δ ABC, if D and E are the points on the sides AB and AC such that DE || BC and if AD = x, DB = x-2, AE = x + 2 and EC = x -1, then find the value of x.

एक Δ ABC में, यदि बिन्दु D और E भुजा AB और AC पर इस प्रकार हैं कि DE || BC और यदि AD = x, DB = x - 2, AE = x + 2 और EC = x - 1हो, तो x का मान ज्ञात कीजिए।


(A) 5

(B) 4

(C) 3

(D) 2.5

Sol. (B) –
SSC Quiz : Quantitative Aptitude | 16 - 01 - 18
SSC Quiz : Quantitative Aptitude | 16 - 01 - 18

Q. 8 - A sum of money invested at compound interest amounts to Rs.800 in 2 years and Rs.840 in 3 years. Find the rate of interest per annum.

एक धनराशि चक्रवृद्धि ब्याज पर निवेश की जाती है, यह 2 वर्षों में 800 रू. और 3 वर्षों में 840 रू. हो जाती है। ब्याज की वार्षिक प्रतिशत दर ज्ञात कीजिए।


(A) 4%

(B) 5%

(C) 6.25%

(D) 3.5%

Sol. (B) – Rate of compound interest/चक्रवृद्धि ब्याज की दर
                                                    = SSC Quiz : Quantitative Aptitude | 16 - 01 - 18

Q. 9 - A certain sum in certain time becomes Rs.500 at the rate of 8% per annum simple interest and the same sum amounts to Rs.200 at the rate of 2% simple interest in the same duration. Find the time.


एक निश्चित धनराशि निश्चित समय में 8% प्रति वर्ष साधारण ब्याज की दर पर 500 रू.हो जाती है और यही धनराशि 2% प्रतिवर्ष साधारण ब्याज की दर पर इसी समान समय में 200 रू. हो जाती है। समय ज्ञात कीजिए।


(A) 25 years/वर्ष

(B) 30 years/वर्ष

(C) 40 years/वर्ष

(D) 50 years/वर्ष

Sol. (D) – SSC Quiz : Quantitative Aptitude | 16 - 01 - 18
         SSC Quiz : Quantitative Aptitude | 16 - 01 - 18
          Again/पुनः, for 8% rule/8% के लिए,
          SSC Quiz : Quantitative Aptitude | 16 - 01 - 18
           Sum/धनराशि = 500 – 400 = 100
           PT = 5000
           T = 5000 ÷ 100 = 50 years/वर्ष

Q. 10 - A, B and C invested capitals in the ratio of 2: 3: 5. At the end of the business terms, they received the profit in the ratio of 5: 3: 12. Find the ratio of time for which they contributed their capitals?

A, B और C ने अपनी पूंजी 2: 3: 5 के अनुपात में निवेश की। व्यवसाय समापन पर वे 5: 3: 12 के अनुपात में लाभ प्राप्त करते हैं। उनकी पूंजी के निवेशित रहने के समय का अनुपात ज्ञात कीजिए।


(A) 25: 10: 24

(B) 10: 9: 6

(C) 12: 17: 6

(D) 12: 13: 15

Sol. (A) – p1: p2: p3 = 5: 3: 12
                 x1: x2: x3 = 2: 3: 5
                Required Ratio/अभीष्ट अनुपात = SSC Quiz : Quantitative Aptitude | 16 - 01 - 18
                                                                = SSC Quiz : Quantitative Aptitude | 16 - 01 - 18
                                                                = SSC Quiz : Quantitative Aptitude | 16 - 01 - 18
                                                                = 25: 10: 24




Answer :

Q1. (C)

Q2. (D)


Q3. (B)


Q4. (B)


Q5. (D)


Q6. (A)


Q7. (B)


Q8. (B)


Q9. (D)


Q10. (A)

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