SSC CGL Tier 1 :: QA Test 52
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# SSC CGL Tier 1 Quantitative Aptitude Questions and Answers Online Test 52

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Exercise

1 .
The letters of the word SOCIETY are placed at random in a row. The probability that the three vowels come together is
 $1 \over 6$ $1 \over 7$ $2 \over 7$ $5 \over 6$
2 .
There are three events $E_ 1$ , $E_ 2$ and $E_ 3$ . One of which must, and only one can happen. The odds are 7 to 4 against $E_ 1$ and 5 to 3 against $E_ 2$. The odds against $E_ 3$ is
 4 : 11 3 : 8 23 : 88 65 : 23
3 .
If 27 $\times$ $(81)^{2n + 3}$ - $3^m$=0 , then what is m equal to?
 2n + 5 5n+ 6 8n+ 3 8n+ 15
4 .
What is $\sqrt 5 + \sqrt 3 \over \sqrt 5 - \sqrt 3$ + $\sqrt 5 - \sqrt 3 \over \sqrt 5 + \sqrt 3$ equal to ?
 16 8 4 $\sqrt {15}$
5 .
A trader marked a watch 40% above the cost price and then gave a discount of 10%. He made a net profit of Rs.468 after paying a tax of 10% on the gross profit. What is the cost price of the watch?
 Rs. 1200 Rs.1800 Rs.2000 Rs.2340
6 .
By selling 8 dozen pencils, a shopkeeper gains the selling price of 1 dozen pencils. What is the gain?
 12$1 \over 2$ % 13$1 \over 7$ % 14$2 \over 7$ % 87$1 \over 2$ %
7 .
For what value of k, will the expression 3$x^ 3$ - k$x^ 2$ + 4x + 16 be divisible by (x - $k \over 2$) ?
 4 - 4 2 0
8 .
What is the value of 2 + $\sqrt 2$ + $1 \over 2 + \sqrt 2$ - $1 \over 2 - \sqrt 2$ ?
 2 2 - $\sqrt 2$ 4 + $\sqrt 2$ 2$\sqrt 2$
If a cos $\theta$- b sin $\theta$= c, then what is the value of a sin $\theta$+ b cos $\theta$?
 ± $\sqrt {a^2 + b^2 + c^2}$ ± $\sqrt {a^2 - b^2 + c^2}$ ± $\sqrt {a^2 + b^2 - c^2}$ ± $\sqrt {a^2 - b^2 - c^2}$
If 2$x^ 2$ cos 60° - 4 $cot^ 2$ 45° - 2 tan 60° = 0, then what is the value of x?
 2 3 $\sqrt 3$ - 1 $\sqrt 3$ + 1