SSC CGL Tier 1 :: QA Test 61
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# SSC CGL Tier 1 Quantitative Aptitude Questions and Answers Online Test 61

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Exercise

 "The secret to creativity is knowing how to hide your sources." - Albert Einstein
1 .
If sec 4A = cosec (A + $20^o$), where 4A is an acute angle, find the value of A
 $9^o$ $28^o$ $14^o$ $7^o$
2 .
A person standing on the bank of a river observes that the angle of elevation of the top of a tree standing on the opposite bank is $60^o$. When he moves 30 metres away from the bank, he finds the angle of elevation to be $30^o$. Find the height of the tree
 20$\sqrt 3$m 15$\sqrt 3$m 30$\sqrt 3$m None of the above
3 .
AB and CD are two parallel chords of a circle whose centre is O and radius is 13 cm. If AB = 24 cm and CD = 10 cm, find the distance between AB and CD, if they lie on the same side of the centre O
 12 cm 5 cm 7 cm 13 cm
4 .
An exterior angle of a triangle is $105^o$and one of the interior angles is $45^o$, find the other two angles of the triangle
 $65^o$, $75^o$ $45^o$, $75^o$ $105^o$, $60^o$ $60^o$, $75^o$
5 .
Point M divides the line segment joining the points A (-1, 3) and B (9, 8) such that $AM \over BM$ = $k \over1$ . If M lies on the line x - y + 2 = 0, find the value of K
 $3 \over 2$ $1 \over 2$ $4 \over 3$ $2 \over 3$
6 .
If P (5, -1), Q (-3, -2) and R (-1, 8) are vertices of triangle PQR, find the length of the median through P and the co-ordinates of the centroid
 $\sqrt {65} unit$, ($1 \over 3$,$5 \over 3$) $\sqrt {75} unit$, ($5 \over 3$,$4 \over 3$) $\sqrt {55} unit$, ($2 \over 3$,$5 \over 3$) $\sqrt {45} unit$, ($1 \over 3$,$4 \over 3$)
7 .
Given that sin (A + B) = sinA.cosB+cosA.sinB, find the value of sin $105^o$
 $\sqrt 3 - 1 \over 2 \sqrt 2$ $\sqrt 3 + 1 \over 2 \sqrt 2$ 2$\sqrt 3 + 1 \over 2 \sqrt 2$ $\sqrt 3 + 1 \over \sqrt 3 - 1$
8 .
Find the value of
 $6 \over 7$ $7 \over 6$ $2 - \sqrt 3$ $4\over 5$