Target SSC CGL | 10,000+ Questions | Quant Questions For SSC CGL : Day 118

This is the new year with new goals, new experiences and lots of exams to be scheduled soon. SSC CGL has recently released the exam dates so now it is time to gear up your preparations and try hard to get success. ADDA247 never fails to deliver something new and fruitful for you all. This time also we are providing you the best study plan as well as a study material. We are here going to prepare your Quantitative Aptitude section for the SSC CGL. In this article, we are providing you the details that how we are going to help you to clear the examination this year. We ADDA247 is going to provide you daily tests for all the subjects. The topic-wise quiz will be done from January till April. This will help you to get a deeper knowledge of all the topics and will prepare you thoroughly.

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Q1.In the given figure, P and Q are the mid-points of AC and AB. Also, PG = GR and HQ = HR. What is the ratio of area of ∆PQR : area of ∆ABC ?


(a) 1/2
(b) 2/3
(c) 3/5
(d) none of the above

Q2.In a triangle ABC, AD is the angle bisector of ∠BAC and ∠BAD = 60°. What is the length of AD ?


(a) (b+c)/bc
(b) bc/(b+c)
(c) √(b^2+c^2 )
(d) (b+c)^2/bc

Q3.In the figure given below, AB is the chord of a circle with centre O. AB is extended to C such that BC = OB. The straight line CO is produced to meet the circle at D. If ∠ACD = y degrees and ∠AOD = x degrees such that x=ky, then the value of k is:


(a) 3
(b) 2
(c) 1
(d) None of these

Q4.In the figure below, the rectangle at the corner measures 10 cm × 20 cm. The corner A of the rectangle is also a point on the circumference of the circle. What is the radius of the circle in cm?


(a) 10 cm
(b) 40 cm
(c) 50 cm
(d) None of the above

Q5.In the figure (not drawn to scale) given below, P is a point on AB such that AP : PB = 4 :3. PQ is parallel to AC and QD is parallel to CP. In ∆ARC, ∠ARC = 90°, and in ∆PQS, ∠ PSQ = 90°. The length of QS is 6 cms. What is the ratio AP : PD ?

(a) 10 : 3
(b) 2 : 1
(c) 7 : 3
(d) 8 : 3

Q6.In the figure (not drawn to scale) given below, if AD = CD = BC and ∠BCE = 96°, how much is ∠DBC ?


(a) 32°
(b) 84°
(c) 64°
(d) can’t be determined

Q7.In the figure given below (not drawn to scale) A, B and C are three points on a circle with centre O. The chord BA is extended to a point T such that CT becomes a tangent to the circle at point C. If ∠ATC = 30° and ∠ACT = 50°, then the angle ∠BOA is :


(a) 100°
(b) 150°
(c) 80°
(d) can’t be determined

Q8.A piece of paper is in the shape of a right angled triangle and is cut along a line that is parallel to the hypotenuse, leaving a smaller triangle. There was a 35% reduction in the length of the hypotenuse of the triangle. If the area of the Original triangle was 34 square inches before the cut, what is the area (in square inches) of the smaller triangle ?
(a) 16.665
(b) 16.565
(c) 15.465
(d) 14.365

Q9.On a semicircle with diameter AD, chord BC is parallel to the diameter. Further, each of the chords AB and CD has length 2, while AD has length 8. What is the length of BC ?


(a) 7.5
(b) 7
(c) 7.75
(d) None of these

Q10.A circle with radius 2 is placed against a right angle. Another smaller circle is also placed as shown in the adjoining figure. What is the radius of the smallest circle ?


(a) 3-2√2
(b) 4-2√2
(c) 7-4√2
(d) 6-4√2

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