SSC CHSL 202151)In ΔABC, ∠A = 135°, CA = 5√2 cm and AB = 7 cm. E and F are midpoints of sides AC and AB, respectively. The length of EF (in cm) is:

Correct Option: B

6.5

SSC CHSL 202152)The altitude AD of a triangle ABC is 9 cm. If AB = 6√3 cm and CD = 3√3 cm, then what will be the measure of ∠A?

Correct Option: D

60°

SSC CHSL 202153)In ΔABC, AD is a median. If points E, F and G are midpoints of AD, AE and DE, respectively, then what will be the area ΔBFG ?

Correct Option: A

\(\frac{1}{4}\) (Area of ΔABC)

SSC CHSL 202154)The centroid of an equilateral triangle ΔABC is O. If AB = 27 cm, then the length of AO is:

Correct Option: A

9√3 cm

SSC CHSL 202155)ΔPQR is an isosceles triangle with PQ = PR = 25 cm. If PS is the median on QR from P such that PS = 7 cm, then the length of QR is:

Correct Option: B

48 cm

SSC CHSL 202156)Two circles touch internally. Their diameters are, respectively, 8 cm and 4 cm. What is the distance (in cm) between their centres?

Correct Option: C

2

SSC CHSL 202157)If a and b are the lengths of two sides of a triangle such that the product ab = 24, where a and b are integers, then how many such triangles are possible?

Correct Option: A

16

SSC CHSL 202158)ΔPQR is inscribed in a circle with center O. PO is produced to meet QR at U and the circle at S, and PT ⊥ QR, where T lies between Q and U. if ∠Q = 70° and ∠R = 55°, then what is the measure (in degrees) of ∠TPS?

Correct Option: B

15

SSC CHSL 202159)If ΔABC, DE || AB, where D and E are points on sides AC and BC, respectively. F is a point between C and D such that EF || BD. If AD = 15 cm, DC = 10 cm, then the length of CF is:

Correct Option: D

4 cm

SSC CHSL 202160)Two sides of a triangle are 12.8 m and 9.6 m. If the height of the triangle is 12 m, corresponding to 9.6 m then what its height (in m) corresponding to 12.8 m?

Correct Option: B

9

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