RRB JE Triangle Questions: 26th February 2019

Dear aspirants,

As you all know, RRB JE Exam will be held in the month of april/may 2019. So we are here to help you with the Mathematics subject. We are providing daily quantitative aptitude quizzes, 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. A straight line parallel to BC of ∆ABC intersects AB and AC at points P and Q respectively. AP = QC, PB = 4 units and AQ = 9 units, then the length of AP is:
ΔABC में BC के समानांतर सीधी रेखा बिंदु AB और AC को क्रमश: P और Q पर प्रतिच्छेद करती है. AP = QC, PB = 4 इकाई और AQ= 9 इकाई है, तो AP की लंबाई ज्ञात कीजिये है:
(a) 25 units
(b) 3 units
(c) 6 units
(d) 6.5 units

 

Q2. D is any point on side AC of ∆ABC. If P, Q, X, Y are the mid-point of AB, BC, AD and DC respectively, then the ratio of PX and QY is
D, ΔABC की भुजा पर एक बिंदु है. यदि P, Q, X, Y क्रमशः AB, BC, AD और DC के मध्य बिंदु हैं, तो PX और QY का अनुपात क्या है
(a) 1 : 2
(b) 1 : 1
(c) 2 : 1
(d) 2 : 3

Q3. In ∆ABC, ∠B = 60° and ∠C = 40°. If AD and AE be respectively the internal bisector of ∠A and perpendicular on BC, then the measure of ∠DAE IS
ΔABC, ∠B = 60 डिग्री और ∠ सी = 40 डिग्री में। यदि एडी और एई क्रमशः बीसी पर ∠A और लंबवत के आंतरिक द्विभाजक हैं, तो ∠DAE IS का माप
(a) 5°
(b) 10°
(c) 40°
(d) 60°

Q4. In ∆ABC, a line through A cuts the side BC at D such that BD : DC = 4 : 5. If the area of ∆ABD = 60 cm², then the area of ∆ADC is:
∆ABC में, एक रेखा A के द्वारा भुजा BC को D पर इस प्रकार प्रतिछेदित करती है जिससे BD : DC = 4 : 5. यदि ∆ABD का क्षेत्रफल= 60 से.मी², तो ∆ADC का क्षेत्रफल कितना है?
(a) 50 cm²
(b) 60 cm²
(c) 75 cm²
(d) 90 cm²

Q5. The centroid of a ∆ABC is G. The area of ∆ABC is 60 cm². The area of ∆GBC is
त्रिभुज ABC का केंद्र G है। त्रिभुज ABC का क्षेत्रफल 60 सेमी² है। त्रिभुज GBC का क्षेत्रफल है
(a) 30 cm²
(b) 40 cm²
(c) 10 cm²
(d) 20 cm²

Q6. In triangle ABC, DE||BC where D is a point on AB and E is point on AC. DE divides the area of ∆ABC into two equal parts. Then DB : AB is equal to?
त्रिभुज ABC में, DE || BC, जहां D, AB पर और E, AC पर एक बिंदु है। D त्रिभुज ABC के क्षेत्र को दो बराबर भागों में विभाजित करता है। तो DB:AB बराबर है-
(a) √2 ∶ (√2+1)
(b) (√2-1) ∶ √2
(c) √2 ∶ (√2-1)
(d) (√2+1) ∶ √2

Q7. Three sides of a ∆ABC are a = 30 cm, b = 57 cm, c = 33 cm. The internal bisector of ∠A meets BC at D, and the bisector passes through incentre O. The ratio AO : OD is–
ΔABC की तीन भुजा हैं, a = 30 सेमी, b = 57 सेमी, c = 33 सेमी ∠A का आंतरिक द्विभाजक बी पर बीसी से मिलता है, और द्विभाजक ओसेन्ट्रे ओ के माध्यम से गुजरता है। अनुपात AO : OD है-
(a) 3:1
(b) 2:1
(c) 5:1
(d) 7:1

Q8. If the length of the three sides of a triangle are 6 cm, 8 cm and 10 cm, then the length of the median to its greatest side is?
यदि त्रिभुज की तीन भुजाओं की लंबाई 6 सेमी, 8 सेमी और 10 सेमी है, तो सबसे लंबी भुजा की माध्यिका की लंबाई कितनी है?
(a) 2
(b) 6
(c) 4
(d) 5

Q9. O and C are respectively the orthocenter and the circumcenter of an acute angled triangle PQR. The points P and O are joined and produced to meet the side QR at S. If ∠PQS = 60° and ∠QCR = 130°, then ∠RPS = ?
O और C, न्यून कोण त्रिभुज PQR के क्रमशः ऑर्थोसेन्टर और परिकेंद्र हैं. बिंदु P और O जोड़ा जाता हैं और इसे बड़ा कर भुजा QR, S पर मिलती हैं. यदि ∠PQS = 60 डिग्री और ∠QCR = 130 डिग्री, तो ∠RPS =?
(a) 35
(b) 36
(c) 37
(d) 38

Q10. In the given figure ABC is a triangle in which 3AD = CD and E lies on BD, DE = 2BE. What is the ratio of the area of ∆ABE and area of ∆ ABC?
दी गई आकृति में, ABC त्रिभुज है जिसमें 3AD = CD है और E, BD पर स्थित है, DE = 2BE है। ∆ABE के क्षेत्रफल और ∆ABC के क्षेत्रफल का अनुपात क्या है?


(a) 1/12
(b) 1/3
(c) ½
(d) None of these

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