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SSCCGL Quantitative Aptitude Solved Question Paper 2017

Multiple Choice Questions

61.

If $fraction numerator open square brackets 2 open parentheses begin display style fraction numerator 4 straight x over denominator 5 end fraction end style minus begin display style 3 over 4 end style close parentheses close square brackets over denominator 3 minus begin display style 5 over 3 end style end fraction space equals space minus 1 over 6 comma$ then the value of x is:

$4 over 15$
$negative 15 over 4$
$negative 4 over 15$
$15 over 4$

62.

If a³ + b³ = 35 and ab = 6, then what is the value of a + b?

5
8
2
-8

63.
Sum of a fraction and thrice of its reciprocal is $73 over 20.$ What is the fraction?

$4 over 5$

$9 over 4$

$4 over 9$

$5 over 4$

$5 over 4$

Let the number be x.
According to the question,
$straight x space plus space 3 over straight x space equals space 73 over 20$
$rightwards double arrow space space space fraction numerator straight x squared space plus space 3 over denominator straight x end fraction space equals space 73 over 20 rightwards double arrow space space space 20 straight x squared space plus space 60 space equals space 73 straight x rightwards double arrow space space space 20 straight x squared space minus space 73 straight x space plus space 60 space equals space 0 rightwards double arrow space space space 4 straight x left parenthesis 5 straight x space minus 12 right parenthesis space minus space 5 left parenthesis 5 straight x minus 12 right parenthesis space equals space 0 rightwards double arrow space space space space left parenthesis 4 straight x minus 5 right parenthesis thin space left parenthesis 5 straight x minus 12 right parenthesis space equals space 0 rightwards double arrow space space space space space space straight x space equals space 5 over 4$

64.

What is the sum of 11 terms of an arithmetic progression if the 4th term is 11 and the 7th term is -4?

65.

What is the reflection of the point (-1, 3), in the line x = -4?

(-7, -3)
(-7, 3)
(7, -3)
(7, 3)

66.

The co-ordinates of the centroid of a Δ ABC are (1, -4). What are the co-ordinates of vertex C if co-ordinates of A and B are (3, -4) and (0, 5) respectively.

(0, 13)
(0, 5)
(0, -5)
(0, -13)

67.

ax + 5y = 8 has slope of $negative 4 over 3.$ What is the value of a?

$20 over 3$
$3 over 20$
$negative 20 over 3$
$negative 3 over 20$

68.

D and E are points on side AB and AC of Δ ABC. DE is parallel to BC. If AD : BD = 2 : 5 and area of Δ ABC is 98 cm², what is the area (in cm²) of quadrilateral BDEC?

90 cm²
98 cm²
94 cm²
86 cm²

69.

What is the value of $cot space 45 degree space minus space open parentheses fraction numerator 1 over denominator square root of 3 end fraction close parentheses space cosec space 60 degree$ ?