Find the additive inverse of ^@ \dfrac{ -2 }{ -19 }. ^@

A.	^@ \dfrac{ -2 }{ -19 } ^@
B.	^@ \dfrac{ -2 }{ 19 } ^@
C.	^@ \dfrac{ -19 } { -2 } ^@
D.	^@ \dfrac{ -19 } { 2 } ^@

Find the sum of all possible values of ^@ a ^@ such that the following equation has real root in ^@ x: ^@
^@ (x-a)^2 + (x^2 -10 x + 21 )^2 = 0 ^@

A.	^@ 15 ^@
B.	^@ 7 ^@
C.	^@ 3 ^@
D.	^@ 10 ^@

Look at the figure given below:

Find the value of angle ^@x.^@

A.	^@ 71^\circ ^@
B.	^@ 59^\circ ^@
C.	^@67^\circ^@
D.	^@ 76^\circ ^@

Find the square of ^@\dfrac{ 10 }{ 11 }^@.

A.	^@\dfrac{ 110 }{ 121 }^@
B.	^@\dfrac{ 10 }{ 121 }^@
C.	^@\dfrac{ 100 }{ 121 }^@
D.	^@\dfrac{ 100 }{ 110 }^@

Solve the following:
^@ \sqrt[ 3 ]{ -9800 } \times \sqrt[ 3 ]{ 2240 } ^@

A.	^@-78400^@
B.	^@-280^@
C.	^@78400^@
D.	^@273^@

Matthew borrowed ^@ ₹90000 ^@ from a bank at the interest rate of ^@ 20 \% ^@ per annum compounded annually. What would be the amount payable to bank after ^@3^@ years?

A.	^@ ₹155520 ^@
B.	^@ ₹139968^@
C.	^@ ₹155553^@
D.	^@ ₹155532^@

In an exam 3 marks are awarded for each correct answer, and one mark is deducted for each incorrect answer. If Ankur attempts 39 questions and scores 77 marks, find the correct answers.

A.	22
B.	26
C.	29
D.	38

The diagram shows a segment of a circle such that ^@ CD ^@ is perpendicular bisector of the chord ^@ AB. ^@ Given that ^@ AB = 8 ^@ and ^@ CD = 2, ^@ find the radius of the circle.

A.	^@ 10 ^@
B.	^@ 3 ^@
C.	^@ 5 ^@
D.	^@ 2 ^@

Except for one face of a given cube, identical cubes are glued through their faces to all the other faces of the given cube. If each side of the given cube measures ^@4 \space cm^@, then what is the total surface area of the solid body thus formed?

A.	^@406\space cm^2^@
B.	^@416 \space cm^2^@
C.	^@424\space cm^2^@
D.	^@412\space cm^2^@

Simplify:
^@\left(\dfrac{ x^a }{ x^b }\right)^{ a^2 + b^2 + ab } \times \left(\dfrac{ x^b }{ x^c }\right)^{ b^2 + c^2 + cb } \times \left(\dfrac{ x^c }{ x^a }\right)^{ c^2 + a^2 + ca }^@

A.	^@x^2(a^3+b^3+c^3+ab^2+a^2b+bc^2+cb^2+ac^2+a^2c)^@
B.	^@x^2(a^3+b^3+c^3)^@
C.	^@1^@
D.	^@0^@

Pump A and B can fill a tank in 6 minutes and 3 minutes respectively. Both the pumps started filling the tank together but Pump B stopped when the tank was half full and the rest of the tank is filled by Pump A alone. How long did it take to fill the tank?

A.	4 minutes
B.	3 minutes
C.	2 minutes
D.	7 minutes

Factorize:
^@m(mx - ny)^2 + mn(mx - ny) + n(mx - ny)^@

A.	^@(mx - ny)[m^2x - mny + mn + n]^@
B.	^@(mx + ny)[mx^2 - mny + mn + n]^@
C.	^@(mx - ny)[mx^2 - mny + mn + n]^@
D.	^@(mx + ny)[m^2x - mny + mn + n]^@

The graph below shows the production of phones (in thousands) of two factories (A and B) for ten years. Find the difference in the production of phones of two factories in the year when the difference in production of phones was maximum.

A.	14 thousands
B.	17 thousands
C.	15 thousands
D.	16 thousands

In a ^@3^@-digit number, the hundreds digit is ^@twice^@ the tens digit while the units digit is ^@thrice^@ the tens digit. Also, the sum of its digits is ^@18^@. Find the number.

A.	^@963^@
B.	^@369^@
C.	^@396^@
D.	^@639^@

Pump A and B can fill a tank in 12 minutes and 24 minutes respectively. Both the pumps started filling the tank together but Pump B stopped when the tank was half full and the rest of the tank is filled by Pump A alone. How long did it take to fill the tank?

A.	10 minutes
B.	11 minutes
C.	8 minutes
D.	9 minutes

Profit earned by selling an article for ^@₹1429^@ is ^@23\%^@ more than the loss incurred by selling the article for ^@₹983^@. At what price should the article be sold to earn ^@14\%^@ profit?

A.	^@₹1349.62^@
B.	^@₹1356.62^@
C.	^@₹1347.62^@
D.	^@₹1348.62^@

Joel deposited an amount in bank which gives ^@ 10 \% ^@ simple interest. If he gets ^@ ₹75000 ^@ after ^@ 5 ^@ years, find the amount deposited by him?

A.	^@ ₹52000^@
B.	^@ ₹49000^@
C.	^@ ₹51000^@
D.	^@ ₹50000 ^@

A sum of money triples itself in ^@5^@ years when the interest is compounded annually. In how many years will it amount to ^@9^@ times of itself?

A.	^@8^@ years
B.	^@10^@ years
C.	^@30^@ years
D.	^@15^@ years

Find the product of the following polynomials:
( -2p² - 0.5p + 1) and (0.4p² + 0.3p + 1)

A.	- 0.8p4 - 0.8p3 - 1.75p2 + 0.2p - 1
B.	- 0.8p4 - 0.8p3 - 1.75p2 - 0.2p - 1
C.	-0.8p4 - 0.8p3 - 1.75p2 - 0.2p + 1
D.	0.8p4 - 0.8p3 - 1.75p2 - 0.2p + 1

(9x² - 79x - 18) ÷ (9x + 2) = ?

A.	-x - 9
B.	-9x + 1
C.	x - 9
D.	9x + 1

If a die is thrown, what is the probability of getting an even number?

A.	1
B.	0
C.	2 6
D.	1 2

The price of diamond varies directly as square of its weight. The price of a 12 decigrams diamond is ₹14400. If diamond breaks into two pieces whose weights are in the ratio 1:2, find the loss incurred.

A.	₹6600
B.	₹6300
C.	₹6400
D.	₹6500