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SSCCGL Quantitative Aptitude Solved Question Paper 2016

Multiple Choice Questions

Let 0 < x < 1. Then the correct inequality is

$straight x space less than space square root of straight x space less than space space straight x squared$
$square root of straight x space less than space straight x space less than space straight x squared$
$straight x squared space less than space straight x space less than space square root of straight x$
$straight x squared space less than space straight x space less than space square root of straight x$

1067 Views

Three bells ring at intervals of 36 seconds, 40 seconds and 48 seconds respectively. They start ringing together at a particular time. They will ring together after every

6 minutes
12 minutes
18 minutes
18 minutes

599 Views

If the sum of the digits of a three-digit number is subtracted from that number, then it will always be divisible by

3 only
9 only
Both 3 and 9
Both 3 and 9

254 Views

Which of the following is correct?

$2 over 3 space less than space 3 over 5 space less than thin space 11 over 15$
$3 over 5 less than 2 over 3 less than 11 over 15$
$11 over 15 space less than space 3 over 5 space less than space 2 over 3$
$11 over 15 space less than space 3 over 5 space less than space 2 over 3$

193 Views

The greater of the two numbers whose product is 900 and the sum exceeds their difference by 30 is

208 Views

The smallest fraction, which should be added to the sum of $2 1 half comma space space 3 1 third comma space space 4 1 fourth$ and $5 1 fifth$ to make the result as a whole number, is

$13 over 60$
$1 fourth$
$17 over 60$
$17 over 60$

296 Views

Find the cube root of (-13824). or Find the value of $cube root of negative 13824 end root$

206 Views

8.
The sum of three positive numbers is 18 and their product is 162. If the sum of two numbers is equal to the third number, then the sum of squares of the numbers is

120

126

132

132

126

Let the three numbers be x, y and z.
According to the question, we have three equations
x + y + z = 18 ...(i)
xyz = 162 ...(ii)
and x + y = z ...(iii)
From equation (i),
z + z = 18
⟹ 2z = 18 ⟹ z = 9
∴ xyz = 162
⟹ xy = 162/9 = 18 ...(iv)
$therefore space space space left parenthesis straight x minus straight y right parenthesis squared space equals space left parenthesis straight x plus straight y right parenthesis squared space minus space 4 xy space space space space space equals space left parenthesis 9 right parenthesis squared space minus space 4 space cross times space 18 space space space space space space equals space 81 space minus space 72 space equals space space 9 therefore space space space space straight x minus straight y space equals space 3 therefore space space space space straight x space plus space straight y space plus space straight x space minus straight y space equals space 9 space plus space 3 rightwards double arrow space space space space space space 2 straight x space equals space 12 space space rightwards double arrow space space space straight x space space equals space 6$

$therefore space space space space space straight x space plus space straight y space plus space straight z space equals space 18 rightwards double arrow space space space 6 space plus space straight y space plus space 9 space equals space 18 rightwards double arrow space space space space straight y space equals space 18 space minus space 15 space equals space 3$
$therefore space space space straight x squared plus straight y squared plus straight z squared space space space space equals space left parenthesis 6 right parenthesis squared space plus space left parenthesis 3 right parenthesis squared space plus space left parenthesis 9 right parenthesis squared space space space space equals 36 space plus space 9 space plus space 81 space equals space 126 space$