Which of the following can be the value of ^@ \dfrac{ 1 } { 1 + \sqrt{ 2 } } + \dfrac{ 1 } { \sqrt{2} + \sqrt{3} } + \dfrac{ 1 } { \sqrt{3} + \sqrt{4} } + \dfrac{ 1 } { \sqrt{4} + \sqrt{5} } + \dfrac{ 1 } { \sqrt{5} + \sqrt{6} } + \dfrac{ 1 } { \sqrt{6} + \sqrt{7} } + \dfrac{ 1 } { \sqrt{7} + \sqrt{8} } + \dfrac{ 1 } { \sqrt{8} + \sqrt{9} } ^@ is:

A.	^@ 1 ^@
B.	^@ 2 ^@
C.	^@ \dfrac{ 2 }{ 3 } ^@
D.	^@ 0 ^@

Factorize: @^ \begin{aligned} u^2 + v - uv - u \end{aligned} @^

A.	^@ (u - v) (u - 1) ^@
B.	^@ (u - v) (1 - u) ^@
C.	^@ (u - v)^2 ^@
D.	^@ (u - v) ^@

For the points ^@ A(12, 3), ^@ ^@ B(5, 12), ^@ and ^@ C(13, 20) ^@ , find the value of ^@ 2(\text{ordinate } C) ^@^@ \times 3(\text{abscissa } A) ^@^@ \times (\text{abscissa } B) ^@.

A.	^@7202^@
B.	^@7199^@
C.	^@7205^@
D.	^@7200^@

Equation 4x + 3y = 7 has a unique solution if x and y are:

A.	Real Numbers
B.	Positive Real Numbers
C.	Rational Numbers
D.	Natural Numbers

What is the angle between the hour and the minute hands of the clock when the clock shows 7:00?

A.	140°
B.	160°
C.	150°
D.	120°

If ^@AL, BM,^@ and ^@CN^@ are the medians of the ^@\triangle ABC,^@ then:

A.	^@(AB + BC + CA) > (AL + BM + CN)^@
B.	^@(AB + BC + CA) = (AL + BM + CN)^@
C.	^@(AB + BC + CA) < (AL + BM + CN)^@
D.	None of these

The sum of the angles of a quadrilateral is

A.	450°
B.	540°
C.	360°
D.	270°

The area of a trapezium is 120 cm² and the distance between its parallel sides is 20 cm. If one of the parallel sides is of length 5 cm, find the length of the other side.

A.	14 cm
B.	7 cm
C.	3.5 cm
D.	5 cm

If O is center of the circle and ∠ABC = 35°, the value of ∠AOC is:

A.	65°
B.	70°
C.	60°
D.	75°

To construct an angle of ^@ 120^\circ, ^@ we bisect:

A.	^@ 247.5^\circ ^@
B.	^@ 255^\circ ^@
C.	^@ 270^\circ ^@
D.	^@ 240^\circ ^@

The sides of a triangular field are 8 m, 15 m and 17 m. Find the number of rose beds that can be prepared in the field, if each rose bed, on an average needs 600 cm² space.

A.	1011
B.	2000
C.	1000
D.	995

The area of a trapezium is 231 cm² and the distance between its parallel sides is 11 cm. If one of the parallel sides is of length 28 cm, find the length of the other side.

A.	7 cm
B.	12 cm
C.	28 cm
D.	14 cm

Using the assumed-mean method, find the mean age of people from the following frequency-distribution table.

^@\text{ Age }(in \space years)^@	^@36^@	^@42^@	^@48^@	^@54^@	^@60^@	^@66^@	^@72^@
^@\text{ Number of people }^@	^@30^@	^@16^@	^@2^@	^@21^@	^@18^@	^@8^@	^@28^@

A.	^@58.33 \space years^@
B.	^@61.56 \space years^@
C.	^@49.29 \space years^@
D.	^@53.71 \space years^@

Rohit is participating in a race. The probability that he will come first in the race is 0.1. The probability that he will come second in the race is 0.15. The probability that he will come in 3rd is 0.6, and the probability that he will be 4th is 0.15. What is the probability that he will win 2nd position or win the race?

A.	0.25
B.	0.2
C.	0.35
D.	0.3

In a basketball game, Gauri made 12 baskets. Each basket was worth either 2 or 3 points. How many different numbers could represent the total points that Gauri could have made?

A.	13
B.	16
C.	12
D.	14

Sachin buys p oranges at ₹5 each and q bananas at ₹6 each. How much does he pay for the fruits?

A.	₹(6p + 5q)
B.	₹(5p − 6q)
C.	₹(6p − 5q)
D.	₹(5p + 6q)