If a = 3¹²⁹ x 5¹²⁸ x 7²² ,

b = 3¹²⁸ x 5¹²⁹ x 7²¹,

c = 3¹²⁸ x 5¹²⁹ x 7²¹ and

d = 3¹²⁷ x 5¹²⁸ x 7²⁴, then HCF of a, b, c and d is

• 3¹²⁸ x 5¹²⁹ x 7²¹

• 3¹²⁷ x 5¹²⁸ x 7²¹

• 3¹²⁷ x 5¹²⁸ x 7²²

• 3¹²⁸ x 5¹²⁸ x 7²¹

The value of ${\left[5{\left(8^{\frac{1}{3}} + {27}^{\frac{1}{3}}\right)}^3\right]}^{\frac{1}{4}} \mathrm{is}$

• 5

• 5²

• 5³

• 5⁴

The price of petrol increased by 25%. In order that expenses on petrol should not increase, one must reduce travel

• 25%

• 20%

• 18%

• 15%

$\frac{5^{\mathrm{n} + 3} - 6 \times 5^{\mathrm{n} + 1}}{9 \times 5^{\mathrm{n}} - 2^2 \times 5^{\mathrm{n}}} \mathrm{is}$

• 91

• 19

• 10

• 1

Find the least number of square tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad

• 902

• 800

• 814

• None of these

76.

A motor boat whose speed is 15 km/h in still water goes 36 km upstream and comes back to the starting point in 5 hours. Find the speed of the stream

• 5 km/h

• 10k/h

• Cant determine

• 3km/h

$\mathrm{The} \mathrm{reciprocal} \mathrm{of} \left[{\left(\frac{3}{8}\right)}^{ - 2} \times {\left(\frac{ - 4}{5}\right)}^{ - 3}\right] \mathrm{is}$

• $\frac{ - 9}{125}$

• ${\left(\frac{8}{3}\right)}^2 \times {\left(\frac{5}{ - 4}\right)}^3$

• $\frac{125}{9}$

• $\frac{9}{125}$

$\mathrm{If}({13}^2 - 5^2{)}^{3/2} = 6^3 \times \mathrm{A}, \mathrm{then} \mathrm{the} \mathrm{value} \mathrm{of} \mathrm{A} \mathrm{is}$

• 2

• 2⁴

• 2²

• 2³

One of the factors of x⁴ + 4 is

• x² + 2

• x² + 2x - 2

• x² - 2x + 2

• x² - 2

The students (in Lakh) who appeared and ratio of pass and fail in different cities are given in the following table. Read carefully and answer following questions

City	Applicants (in lakh)	Ratio of pass and fail
A	1.25	7 : 3
B	3.14	5 : 3
C	1.08	4 : 5
D	2.27	1 : 3
E	1.85	3 : 2
F	2.73	7 : 5

How many applicants pass in City E

• 13000

• 1110000

• 113000

• 111000