[Download PDF] AP ICET 2015 Paper with Solutions

Instructions

For the following questions answer them individually

Question 71

For any $$a, b \epsilon R$$, define
a * b = max {a, b} and aob = min {a, b}. Then a * (boc) =

Video Solution

Question 72

In 20 seconds the hours hand in a clock moves an angle

Video Solution

Question 73

$$1 + \frac{2}{3} + \left(\frac{2}{3}\right)^2 + \left(\frac{2}{3}\right)^3 + ...... $$ to infinity =

Video Solution

Question 74

{$$x^2 : x$$ is an integer, $$\mid x - 2 \mid < 4} =$$

Video Solution

Question 75

If the year 2003 starts with Monday, then it ends with

Video Solution

Question 76

The greatest number which divides 121, 134 and 147 leaving 4 as the remainder in each case is

Video Solution

Question 77

The reciprocal of the sum of the reciprocals of $$\frac{5}{8}$$ and $$\frac{3}{4}$$ is

Video Solution

Solution

Sum of the reciprocals of $$\frac{5}{8}$$ and $$\frac{3}{4}=\frac{8}{5}+\frac{4}{3}=\frac{24+20}{15}=\frac{44}{15\ }$$

$$\therefore\ $$Reciprocal of the Sum of the reciprocals of $$\frac{5}{8}$$ and $$\frac{3}{4}=\frac{15}{44}$$

Hence, the correct answer is Option C

Question 78

The correct order of $$a = \frac{3}{4}, b = \frac{4}{7}, c = \frac{11}{13}$$ and $$d = \frac{13}{15}$$ is

Video Solution

Question 79

$$2\frac{1}{3} + 3\frac{3}{4} \div \frac{3}{4} - 2\frac{1}{3}\left(6\frac{1}{2} - 2\frac{1}{4}\right) \div 2\frac{1}{4} =$$

Video Solution

Solution

$$\frac{7}{3}+\frac{\frac{15}{4}}{\frac{3}{4}}-\frac{\frac{7}{3}\left(\frac{17}{4}\right)}{\frac{9}{4}}$$

$$\frac{7}{3}+5-\frac{119}{27}$$

$$\frac{63}{27}+\frac{105}{27}-\frac{119}{27}=\frac{79}{27}$$

Question 80

Two numbers x and y are respectively 20% and 25% more than the third number z. If x is a% of y, then a =

Video Solution

Solution

x is 20% more than z

$$\Rightarrow$$ x = $$\frac{120}{100}$$z

y is 25% more than z

$$\Rightarrow$$ y = $$\frac{125}{100}$$z

Also, x is a% of y

$$\Rightarrow$$ x = $$\frac{a}{100}$$y

$$\Rightarrow$$ $$\frac{120}{100}$$z = $$\frac{a}{100}\times\frac{125}{100}$$z

$$\Rightarrow$$ a = 96

CAT Content

AP ICET 2015

For any $$a, b \epsilon R$$, define a * b = max {a, b} and aob = min {a, b}. Then a * (boc) =

In 20 seconds the hours hand in a clock moves an angle

$$1 + \frac{2}{3} + \left(\frac{2}{3}\right)^2 + \left(\frac{2}{3}\right)^3 + ...... $$ to infinity =

{$$x^2 : x$$ is an integer, $$\mid x - 2 \mid < 4} =$$

If the year 2003 starts with Monday, then it ends with

The greatest number which divides 121, 134 and 147 leaving 4 as the remainder in each case is

The reciprocal of the sum of the reciprocals of $$\frac{5}{8}$$ and $$\frac{3}{4}$$ is

The correct order of $$a = \frac{3}{4}, b = \frac{4}{7}, c = \frac{11}{13}$$ and $$d = \frac{13}{15}$$ is

$$2\frac{1}{3} + 3\frac{3}{4} \div \frac{3}{4} - 2\frac{1}{3}\left(6\frac{1}{2} - 2\frac{1}{4}\right) \div 2\frac{1}{4} =$$

Two numbers x and y are respectively 20% and 25% more than the third number z. If x is a% of y, then a =

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For any $$a, b \epsilon R$$, define
a * b = max {a, b} and aob = min {a, b}. Then a * (boc) =