# If x, y and z are real numbers such that: x + y + z = 5 and xy + yz + xz = 3, what is the largest value that x can havetake

1.  5/3

2.  √19

3.  13/3

4.  none of these

4

√19

Explanation :
No Explanation available for this question

# If x = (163 + 173 + 183 + 193), then x divided by 70 leaves a remainder of

1.  0

2.  1

3.  69

4.  35

4

0

Explanation :
No Explanation available for this question

# A chemical plant has four tanks (A, B, C and D), each containing 1000 litres of a chemical. The chemical is being pumped from one tank to another as follows: From A to B @ 20 litres/minute From C to A @ 90 litres/minute From A to D @ 10 litres/minute From C to D @ 50 litres/minute From B to C @ 100 litres/minute From D to B @ 110 litres/minute Which tank gets emptied first and how long does it take (in minutes) to get empty after pumping starts

1.  A, 16.66

2.  C, 20

3.  D, 20

4.  D, 25

4

D, 20

Explanation :
No Explanation available for this question

# Two identical circles intersect so that their centres, and the points at which they intersect, form a square of side 1 cm. The area in sq. cm of the portion that is common to the two circles is

1.  π/4

2.  (π/2)–1

3.  π/5

4.  √2–1

4

(π/2)–1

Explanation :
No Explanation available for this question

# A jogging park has two identical circular tracks touching each other, and a rectangular track enclosing the two circles. The edges of the rectangles are tangential to the circles. Two friends, A and B, start jogging simultaneously from the point where one of the circular tracks touches the smaller side of the rectangular track. A jog along the rectangular track, while B jogs along the two circular tracks in a figure of eight. Approximately, how much faster than A does B have to run, so that they take the same time to return to their starting point

1.  3.88%

2.  4.22%

3.  4.44%

4.  4.72%

4

4.72\%

Explanation :
No Explanation available for this question

# At what time do Ram and Shyam first meet each other

1.  10:00 a.m

2.  10:10 a.m

3.  10:20 a.m

4.  10:30 a.m

4

10:10 a.m

Explanation :
No Explanation available for this question

# Number S is obtained by squaring the sum of digits of a two digit number D. If the difference between S and D is 27, then the two digit number D is:

1.  24

2.  54

3.  34

4.  45

4

54

Explanation :
No Explanation available for this question

# At what time does Shyam overtake Ram

1.  10:20 a.m.

2.  10:30 a.m.

3.  10:40 a.m.

4.  10:50 a.m.

4

10:30 a.m.

Explanation :
No Explanation available for this question

# Convert the number 1982 from base 10 to base 12. The result is:

1.  1182

2.  1912

3.  1192

4.  1292

4

1192

Explanation :
No Explanation available for this question

1.  289

2.  367

3.  453

4.  307

4