Which property is reflected by this expression:

 

12

19

  × 1 = 1 ×  

12

19

  =  

12

19

 

A.	Associative Property
B.	Distributive Property
C.	Multiplicative Identity
D.	Commutative Property

Rachel competes in a triathlon in which she has to first swim, then bike, and then run for the same distance. She swims at a rate of 2 kilometres per hour, bikes at a rate of 16 kilometres per hour, and runs at a rate of 8 kilometres per hour. What is her average speed over the entire race?

A.	26 3
B.	49 11
C.	49 10
D.	48 11

If a polygon has its sum of interior angles smaller than ^@ 2790^{\circ}, ^@ what is the maximum number of sides of the polygon^@?^@

A.	^@ 17 ^@
B.	^@ 21 ^@
C.	^@ 18 ^@
D.	^@ 15 ^@

Express ^@49^@ as a sum of odd natural numbers.

A.	^@ 2 + 4 + 6 + 8 + 10 + 12 + 14 ^@
B.	^@ 1 + 2 + 3 + 4 + 5 + 6 + 7 ^@
C.	^@ 1 + 3 + 5 + 7 + 9 + 11 + 13 ^@
D.	^@ \text { None of these }^@

Which of the following choices is the cube root of 729.

A.	-1
B.	5
C.	18
D.	9

A grocer purchased 50 kg of wheat at Rs13 per kg and mixed it with 170 kg wheat at Rs16 per kg. At what rate should he sell the mixture (per kg) to gain 16%?

A.	25.77
B.	46.77
C.	17.77
D.	30.77

Factorize (16z⁴ - 8z² + 1).

A.	(2z + 1) (2z + 1) (2z - 1) (2z - 1)
B.	(z - 1) (4z + 1) (z - 1) (4z + 1)
C.	(2z - 1) (2z - 1) (2z - 1) (2z - 1)
D.	(2z2 + 1) (2z - 1) (2z + 1)

How many vertices does a triangular prism have?

A.	^@6^@
B.	^@3^@
C.	^@4^@
D.	^@5^@

The diagonal of following quadrilateral ABCD is 20 cm long, and length of perpendiculars dropped on diagonal are 10 cm and 10 cm. Find the area of quadrilateral.

A.	100 cm2
B.	200 cm2
C.	220 cm2
D.	180 cm2

Simplify ^@ \dfrac { \sqrt{ 3 } + 1 } { \sqrt{ 3 } - 1 } ^@ .

A.	^@2 + \sqrt{ 3 }^@
B.	^@ \dfrac { 4 - 2\sqrt{ 3 } } { 4 }^@
C.	^@ 3 - 2\sqrt{ 4 }^@
D.	^@ 4 - 3\sqrt{ 3 }^@

A water tank has two types of taps (type-A and type-B). A tap of type-A can fill the tank in 16 minutes, while a tap of type-B can fill the same tank in 8 minutes. If there are 4 type-A taps and 2 type-B taps that can be used to fill the tank, how long will it take to fill an empty tank?

A.	0 minutes
B.	5 minutes
C.	4 minutes
D.	2 minutes

Find factors of xy - 5y - 8x + 40.

A.	( -x - 5)( -y - 8)
B.	(x - 5)(y + 8)
C.	( -x - 5)(y - 8)
D.	(x - 5)(y - 8)

Following chart shows the profit (in millions) of a bank. Assuming the trend between data points to be linear, find the profit for the 5^th year.

A.	26 millions
B.	25 millions
C.	27 millions
D.	23 millions

Find the value of A from following summation.

	4	B
+	A	1
1	0	A

A.	8
B.	5
C.	4
D.	6

Armonie tosses a dice twice. What is the probability that the sum of the values obtained in the throws is 7?

A.	11 36
B.	3 36
C.	6 36
D.	2 36

Yoan purchases two tricycles for ^@Rs 4130^@ each. He sold these tricycles, losing ^@7 \%^@ on one and gaining ^@6 \%^@ on the other. Find his gain or loss percent in the whole transaction.

A.	^@0.5 \% ^@
B.	^@ 6.5 \% ^@
C.	^@ 1.5 \% ^@
D.	^@ 4.5 \% ^@

Fabrice deposited an amount in bank which gives 10% simple interest. If he gets Rs 70000 after 10 years, find the amount deposited by him?

A.	Rs37000
B.	Rs36000
C.	Rs35000
D.	Rs33000

Find compound interest on Rs700 for 6 months at 14% per annum compounded half yearly.

A.	Rs53.9
B.	Rs89
C.	Rs49
D.	Rs44.1

If the base of a triangle is (4x² - 6x - 8) and its height is (2x² - 2x - 4), then what is its area?

A.	4x4 - 10x3 - 10x2 - 20x + 16
B.	4x4 + 10x3 - 10x2 + 20x + 16
C.	4x4 - 10x3 - 10x2 + 20x + 16
D.	4x4 - 10x3 - 10x2 + 20x - 16

(y² + 8xy - 9y - 72x) ÷ (y - 9) = ?

A.	-8x + y
B.	-x + 8y
C.	y + 8x
D.	-8x - y

According to a meteorological report for ^@ 700 ^@ consecutive days in a year, its weather forecasts were correct ^@ 301 ^@ times.
Out of these days, one day is chosen at random.
What is the probability that the weather forecast was not correct on that day?

A.	^@ 0.43 ^@
B.	^@ 0.57 ^@
C.	^@ 1 ^@
D.	^@ 0.53 ^@

There are 700 soldiers and captains in a battalion. If there is one captain for every 34 soldiers, find the numbers of captains in battalion.

A.	20
B.	22
C.	18
D.	19