SSC CGL Triangle Questions : 14th February 2019

Dear aspirants,

As you all know, the upcoming months are lined up with various important exams like SSC CGL  2018 ,SSC Stenographer, RRB JE , SSC CGL , SSC JE and many more, so we are here to help you with the subject that is common to all of the given exams. We are providing daily quantitative aptitude quizzes, practice which will help you to score good marks in this section. We aim to provide the best study material to our readers with exam level questions to help them get used to the recent pattern. Attempt this quiz and check your preparation. 

Q1. If the length of the three sides of a triangle is 5 cm, 12 cm and 13 cm respectively, then calculate the length (in cm) of the median of the hypotenuse of the given triangle.
यदि किसी त्रिभुज के तीन भुजाओं की लंबाई क्रमशः 5 सेमी, 12 सेमी और 13 सेमी है, तो दिए गए त्रिभुज के कर्ण के मध्य की लंबाई (सेमी में) की गणना करें
(a) 5 cm/ सेमी
(b) 6 cm/ सेमी
(c) 6.5 cm/ सेमी
(d) 7 cm/ सेमी

 

Q2. The angles of a triangle are in the ratio of 4 : 1 : 1. Then the ratio of the longest side to the perimeter is
एक त्रिभुज के कोण 4: 1: 1 के अनुपात में हैं। तो परिधि में सबसे लंबे पक्ष का अनुपात क्या है?
(a) 1/(2+√3)
(b) 2/3
(c) 2/(1+√3)
(d) √3/(2+√3)

Q3. In the given figure, PQ = PS = SR and ∠QPS = 40°, then what is the value of ∠QPR (in degrees) ?
दिए गए आंकड़े में, PQ = PS = SR और ∠QPS = 40° है, तो ∠QPR (डिग्री में) का मान क्या है?


(a) 45
(b) 60
(c) 75
(d) 50

Q4. Find the coordinates of orthocenter of ∆ABC with A(0, 3), B(0, 0) & C(4, 0).
A (0, 3), B (0, 0) और C (4, 0) के साथ ∆ABC के ऑर्थोसेंटर के निर्देशांक ज्ञात कीजिए।
(a) (0, 0)
(b) (2/3,2/3)
(c) (4/3,4/3)
(d) (1, 1)

Q5. In triangle PQR, C is the centroid. PQ = 30 cm, QR = 36 cm and PR = 50 cm. If D is the midpoint of QR, then what is the length (in cm) of CD?
त्रिभुज PQR में, C केन्द्रक है। PQ = 30 सेमी, QR = 36 सेमी और PR = 50 सेमी। यदि D, QR का मध्य बिंदु है, तो CD की लंबाई (सेमी में) क्या है?
(a) (4√86) /3
(b) (2√86)/3
(c) (5√86)/3
(d) (5√86)/2

Q6. Which of the following triangle has the maximum area when inscribed inside the circle of same radius?
निम्नलिखित में से किस त्रिभुज में अधिकतम क्षेत्रफल जब एक ही त्रिज्या के घेरे में अंकितन किया जाता है?
(a) Scalene/ स्केलीन
(b) Isosceles/ समद्विबाहु
(c) Equilateral/ समभुज
(d) Right angled/ समकोण

Q7. Medians of a ∆ABC with lengths 9, 12 & 15cm respectively. Then area of the ∆ will be (in cm3)
∆ABC के औसतन लंबाई वाले मेडियन क्रमशः 9, 12 और 15 सेमी है। तब त्रिभुज का क्षेत्रफल क्या होगा (सेमी2 में)?
(a) 56
(b) 72
(c) 84
(d) 38

Q8. Which of the following ratio correctly depicts the division of each median of the triangle by the centroid?
निम्नलिखित में से कौन सा अनुपात केन्द्रक द्वारा त्रिभुज के प्रत्येक माध्य के विभाजन को दर्शाता है?
(a) 1:2
(b) 1:3
(c) 2:1
(d) 3:1

Q9.PQR is an equilateral triangle whose side is 10 cm. What is the value (in cm) of the inradius of triangle PQR?
PQR एक समबाहु त्रिभुज है जिसकी भुजा 10 सेमी है। त्रिभुज PQR के आंतरिक त्रिज्या का मान (से.मी. में) क्या है?
(a) 5/√3
(b) 10√3
(c) 10/√3
(d) 5√2

Q10.Which of the following triangle is formed when the triangle has all the three medians of equal length?
निम्नलिखित में से कौन सा त्रिभुज तब बनता है जब त्रिभुज के सभी तीनों माध्यिकाएं समान लंबाई के होते हैं?
(a) Scalene/ स्केलीन
(b) Isosceles/ समद्विबाहु
(c) Equilateral/ समभुज
(d) Right angled/ समकोण

Q11.What is the area (in cm²) of the circumcircle of a triangle whose sides are 6 cm, 8 cm and 10 cm respectively?
त्रिभुज की परिवृत्त का क्षेत्रफल (cm² में) क्या है जिसकी भुजाएं क्रमशः 6 सेमी, 8 सेमी और 10 सेमी हैं?
(a) 275/7
(b) 550/7
(c) 2200/7
(d) 1100/7

Q12.If the ratio of the angle bisector segments of the two equiangular triangles are in the ratio of 3:2 then what is the ratio of the corresponding sides of the two triangles?
यदि दो समबाहु त्रिभुज के कोण द्विभाजक खंडों का अनुपात 3: 2 का अनुपात है तो दोनों त्रिभुजों का समरूप भुजा का अनुपात क्या है?
(a) 2:3
(b)3:2
(c) 6:4
(d)4:6

Q13.In the given figure, AQ = 4√2 cm, QC = 6√2 cm and AB = 20 cm. If PQ is parallel to BC, then what is the value (in cm) of PB ?
दी गयी आकृति में, AQ = 4√2 सेमी, QC = 6√2 सेमी और AB = 20 सेमी है। यदि PQ BC के समानांतर है, तो PB का मूल्य (सेमी में) क्या है?


(a) 8
(b) 12
(c) 6
(d) 15

Q14.Consider the following figure shown below and choose which of the following equation is correct about the similarity of both triangles ?
नीचे दिखाए गए निम्नलिखित आंकड़ों पर विचार करें और चुनें कि दोनों में से कौन सा समीकरण दोनों त्रिकोणों की समानता के बारे में सही है?


(a) ∆PQR ~ ∆EFD
(b)∆PQR ~ ∆DEF
(c) ∆PQR ~ ∆FDE
(d)∆RQP ~ ∆DFE

Q15.In the given figure, ABC is an equilateral triangle. Two circles of radius 4 cm and 12 cm are inscribed in the triangle. What is the side (in cm) of an equilateral triangle?
दिए गए आंकड़े में, ABC एक समबाहु त्रिभुज है। त्रिभुज में 4 और 12 सेमी त्रिज्या के दो वृत्त उत्कीर्ण हैं। एक समबाहु त्रिभुज की भुजा (सेमी में) क्या है?


(a) 32/√3
(b) 24√3
(c) 64/√3
(d) 64√2

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