# ssc cgl tier 1 :: quantitative aptitude :: qa test 9

## Home ssc cgl tier 1 / quantitative aptitude Questions and Answers

1 .Bisectors of two adjacent angles Aand Bof a quadrilateral ABCDintersect each other at a point P. Which one of the following is correct ?
2âˆ APB= âˆ C + ÃD
âˆ APB = âˆ C+ âˆ D
âˆ APB=180Â° â€“ (âˆ C+ âˆ B)
âˆ APB=180Â° â€“ (âˆ C+ âˆ D)

2 .
20Â°
30Â°
35Â°
40Â°

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
140Ï€sq cm
146.5Ï€ sq cm
70Ï€sq cm
None of these

7 .For a plot of land of 100 m Ã— 80 m, the length to be raised by spreading the earth from stack of a rectangular base 10 m Ã— 8 m and vertical section being a trapezium of height 2 m. The top of the stack is 8 m Ã— 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 $(xâ€“ k)^2$ + $y^2$ = 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?