If  

p

q

  =  

p x m

q x n

  then which of the following statements is always true?

A.	m = 1
B.	m =   1 n
C.	m = 0
D.	m = n

If f(x) = 2x - 3 and f(b) = 1, find the value of b.

A.	2
B.	4
C.	1
D.	3

Find the measure of each interior angle of a regular polygon of ^@4^@ sides.

A.	^@ 105 ^ \circ ^@
B.	^@ 90 ^ \circ ^@
C.	^@ 75 ^ \circ ^@
D.	^@ 120 ^ \circ ^@

Evaluate:
^@ 89 \times 91 ^@

A.	^@ 8190 ^@
B.	^@ 8100 ^@
C.	^@ 8010 ^@
D.	^@ 8099 ^@

Which of the following choices is the value of ^@\sqrt[3]{ -216}^@ .

A.	^@ 0 ^@
B.	^@ -12 ^@
C.	^@-6^@
D.	^@ 1 ^@

If a number x is 11% less than another number y and y is 17% more than 146, then what is the value of x?

A.	153.53
B.	152.03
C.	152.83
D.	154.93

Due to 50% increase in the price of vegetable oil, Ajoy now has to buy 4 liter less vegetable oil to keep his total expenditure on vegetable oil unchanged. If he spends ₹840 on vegetable oil, find the new price of vegetable oil per liters.

A.	₹115 per liters
B.	₹110 per liters
C.	₹95 per liters
D.	₹105 per liters

Find the 3-D shape that fits best with the given description:
^@ \text { 4 faces, 6 edges, and 4 vertices} ^@

A.	Triangular Prism
B.	Triangular Pyramid
C.	Square Pyramid
D.	None of these

A room that is 28.8 m wide and 38.4 m in length is to be completely carpeted with a carpet that is 0.48 m wide. What length of the carpet is needed (in m)?

A.	2301
B.	2305
C.	2294
D.	2304

2^-3 × 2^-2 = ?

A.	-32
B.	32
C.	1 32
D.	-1 32

If the angles of a triangle are in the ratio 5:6:7, then what is the difference between the greatest and the smallest angle?

A.	13°
B.	28°
C.	31°
D.	20°

Find factors of the polynomial ^@y^ 2 - 7xy - 5y + 35x^@.

A.	(^@ -7y + x^@)(^@ -y - 5^@)
B.	(^@ -7x + y^@)(^@ -5y - 1^@)
C.	(^@7x + y^@)(^@y - 5^@)
D.	^@(y - 7x)^@ and ^@(y - 5)^@

If point (u, v) lies on the graph of function f, which of following points must also lie in the graph of inverse of f.

A.	(v, u)
B.	(-v, -u)
C.	(-u, -v)
D.	(u, v)

Ankur picks a three digit number and subtract it from the same number after reversing order of its digits. This difference will always be fully divisible by which of following number?

A.	19
B.	9
C.	10
D.	13

If ^@p^2 + \dfrac{1 }{ p^2 } = 53^@, find the value of ^@\left( p + \dfrac{1 }{ p} \right)^2^@.

A.	52
B.	55
C.	57
D.	53

A shopkeeper mixes two variants of sugar in the ratio 2:3. The first variant costs 15 per kg, while the other costs 20 per kg. If the mixed sugar is sold at the price of 21.6 per kg then find the profit/loss percent incurred by shopkeeper.

A.	15% loss
B.	20% loss
C.	15% profit
D.	20% profit

What should be the interest rate for an amount to become 4 times of itself at simple interest in 75 years?

A.	5% pa
B.	3% pa
C.	4% pa
D.	77% pa

Find compound interest on ₹20000 for 3 years at 2% per annum compounded annually.

A.	₹1101.744
B.	₹1259.16
C.	₹1238.16
D.	₹1224.16

Find the integer ^@ x ^@ that satisfies the equation ^@ x^5 - 101 x^3 - 999 x^{ 2 } + 100900 = 0 ^@.

A.	^@ 96 ^@
B.	^@ 100 ^@
C.	^@ 10 ^@
D.	^@ 7 ^@

( -2b² - 10ab + 5b + 25a) ÷ (b + 5a) = ?

A.	2b + 5
B.	-5b - 2
C.	-2b + 5
D.	5b - 2

The numbers 1 to 13 are written on 13 pieces of paper and dropped into a box. Three of them are drawn at random. What is the probability that the three pieces of paper picked have numbers that are in arithmetic progression?

A.	1
B.	19 140
C.	18 143
D.	16 144

Pump A can fill a tank in 20 minutes, while pump B can fill the same tank in 5 minutes. Both pumps are turned on together to fill the empty tank, but when tank became half full, pump B stops working and rest of the tank is filled by pump A only. How long it took to fill the tank?

A.	11 minutes
B.	13 minutes
C.	12 minutes
D.	14 minutes