SSC-Quant Quiz-40

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Q.1) In the given figure, ABCD is a trapezium in which AB is the diameter of semicircle of radius 6 m. If AD = BC = 4 m, then find the length of CD.
(1) 6(2/3) m
(2) 9(1/3) m
(3) 8(3/4) m
(4) 11(1/9) m


Q.2) In the given figure, if measure of ∠E and ∠ F are 50° and 60° respectively, then find the measure of ∠ A.
(1) 35°
(2) 40°
(3) 30°
(4) 70°

Q.3) If X^2 – √3X –1 = 0 , then find the value of X^6 – (1/X^6)
1) 30√3
2) 30√7
3) 21√21
4) 24√21

Q.4) 17% of a number exceeds 6% of the same number is 77. The one-fourth of that number is:
1) 700
2) 175
3) 185
4) 200

Q.5) Simplify: (6+4√2)/(34+24√2)
1) 3+2√2
2) 3-2√2
3) 2+2√3
4) 2-2√3

Q.6) A number of boys raised ₹ 3,200 for a relief. If each boys gives the double coins of ₹ 1 as there was the number of number of boys ?
1) 400
2) 80
3) 40
4) 20

Q.7)  Pappu and Chandan are 1 km apart. They both see a balloon flying in the sky making an angle of 60º and 45º respectively. If the balloon is between them, then the height of the balloon is
1) 500(√3-1) mtr
2) 500√3(√3-1) mtr
3) 1000(√3-1) mtr
4) 500√3(√3+1) mtr

Q.8) If cosec A + cot A = 7 then find the value of tan A:
1) (7/24)
2) (7/8)
3) (7/16)
4) 16/63

Q.9) Find the value of 1-sin^2A – sec A:
1) (1+sec A) ( cos^2A +1-cos A)
2) (1-sec A) ( cos^2A + 1 + cos A)
3) (1+ sec A) (cos^2 A + 1 – cos A)
4) (1- sec A) ( cos^2 A + 1 – cos A)

Q.10) A work could get completed in 50 days by some persons. However, due to the absence of 5 persons, it was completed in 55 days. The original number of persons was–
1) 50
2) 55
3) 60
4) 45