SSC CGL Tier 1 :: Quantitative Aptitude QA Test 9

Home SSC CGL Tier 1 / Quantitative Aptitude QA Test 9 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 ?
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?
Only one value of x
Two values of x
Infinite values of x
No value of x