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# SSC CGL Tier 1 Quantitative Aptitude Questions and Answers Online Test 9

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Exercise

 "In the middle of difficulty lies opportunity." - Albert Einstein
1 . Bisectors of two adjacent angles Aand Bof a quadrilateral ABCDintersect each other at a point P. Which one of the following is correct ?
 2∠APB= ∠C + ÐD ∠APB = ∠C+ ∠D ∠APB=180° – (∠C+ ∠B) ∠APB=180° – (∠C+ ∠D)
2 .
 20° 30° 35° 40°
3 . The diameter of two circles are 18 cm and 8 cm. The distance between their centres is 13 cm. What is the number of common tangents?
 1 2 3 None of These
4 . What is the geometric means of the observations 125, 729, 1331?
 495 1485 2221 None of these
5 . The mean of 100 values is 45. If 15 is added to each of the first forty values and 5 is subtracted from each of the remaining sixty values, the new mean becomes
 45 48 51 55
6 . A cylindrical tube open at both ends is made of metal. The internal diameter of the tube is 6 cm and length of the tube is 10 cm. If the thickness of the metal used is 1 cm, then the outer curved surface area of the tube is
 140πsq cm 146.5π sq cm 70πsq cm None of these
7 . For a plot of land of 100 m × 80 m, the length to be raised by spreading the earth from stack of a rectangular base 10 m × 8 m and vertical section being a trapezium of height 2 m. The top of the stack is 8 m × 5 m. How many centimeters can the level raised?
 3 cm 2.5 m 2 cm 1.5 cm
8 . If $3^x$ x + 27($3^-x$) = 12, then what is the value of x?
 Only 1 Only 2 1 or 2 0 or 1
9 . For which value of k does the pair of equations $x^2-y^2$ = 0 and $(x– k)^2$ + $y^2$ = 1 yield a unique positive solution of x?
(a).2
(b).0
(c)$\sqrt{2}$
(d)$-\sqrt{2}$
 a b c d
10 . The expression $sin^2$ x + $cos^2$ x-1=0 is satisfied by how many values of x?