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SSCCGL Quantitative Aptitude Solved Question Paper 2016

Multiple Choice Questions

71.

If x⁴ + 2x³ + ax² + bx + 9 is a perfect square, where a and b are positive real numbers, then the values of a and b are

a = 5, b = 6
a = 6, b = 7
a = 7, b = 6
a = 7, b = 6

1312 Views

72.

If a² + b² + c² = 16, x² + y² + z² = 25 and ax + by + cz = 20, then the value of $fraction numerator straight a plus straight b plus straight c over denominator straight x plus straight y plus straight z end fraction$ is

$3 over 5$
$5 over 3$
$4 over 5$
$4 over 5$

1136 Views

73.

The value of x which satisfies the equation $fraction numerator straight x plus straight a squared plus 2 straight c squared over denominator straight b plus straight c end fraction plus fraction numerator straight x plus straight b squared space plus 2 straight a squared over denominator straight c plus straight a end fraction plus fraction numerator straight x plus straight c squared plus 2 straight b squared over denominator straight a plus straight b end fraction space equals space 0$
is

(a² + b² + c²)
- (a² + b² + c²)
(a² + 2b² + c²)
(a² + 2b² + c²)

394 Views

74.

If a³ = 117 + b³ and a = 3 + b, then the value of (a + b) is

$plus-or-minus space 7$
$plus-or-minus space 49$
$plus-or-minus space 13$
$plus-or-minus space 13$

420 Views

75.

If $open parentheses straight a plus 1 over straight a close parentheses space equals space minus 2 comma$ then the value of $straight a to the power of 1000 plus space straight a to the power of negative 1000 end exponent$ is

262 Views

76.

Δ ABC is similar to ΔDEF. If the area of ΔABC is 9 sq. cm. and the area of ΔDEF is 16 sq. cm. and BC = 2.1 cm, then the length of EF will be

5.6 cm
2.8 cm.
3.7 cm.
3.7 cm.

323 Views

77.

A chord of a circle is equal to its radius. The angle subtended by this chord at a point on the circumference is

80°
60°
30°
90°

355 Views

78.
Let two chords AB and AC of the larger circle touch the smaller circle having same centre at X and Y. Then XY = ?

BC

1/2 BC

1/3 BC
2/3 BC

1/2 BC

AX = AY (Tangents drawn from an external point are equal)

Now, XB = R² - r² ...(i)
YC = R² - r² ...(ii)

Similarly,
AX = AY = R² - r² ...(iii)

From (i), (ii), (iii)
AX = XB
and AY = YC
Thus, x and y are the mid point of AB and AC

Therefore, by midpoint theorem

985 Views

79.

Let G be the centroid of the equilateral triangle ABC of perimeter 24 cm. Then the length of AG is

2√3 cm
8⁄√3 cm
8√3 cm
3√8 cm

458 Views

80.

A and B are the centres of two circles with radii 11 cm and 6 cm respectively. A common tangent touches these circles at P and Q respectively. If AB = 13 cm, then the length of PQ is