SRCC GBO 2015

Given : one-third of one-fourth of a number is 15

=> Number = $$15\times3\times4=180$$

$$\therefore$$ $$\frac{3}{10}\times180=54$$

=> Ans - (D)

Square root of : $$\sqrt{105\frac{1}{16}}$$

= $$\sqrt{\frac{1681}{16}}=\frac{41}{4}=10\frac{1}{4}$$

Now, the least number to be divided to make it a whole number is clearly $$\frac{1}{4}$$

= $$10+\frac{1}{4}-\frac{1}{4}=10$$

=> Ans - (A)

$$\frac{29}{57}\approx0.5$$

$$\frac{31}{85}\approx0.36$$

$$\frac{13}{38}\approx0.33$$      [LEAST]

$$\frac{17}{42}\approx0.5$$

=> Ans - (C)

Let the two numbers be $$x$$ and $$y$$

Given :  $$x+y=12$$ and $$xy=35$$ ------------(i)

To find : $$\frac{1}{x}+\frac{1}{y}$$

= $$\frac{x+y}{xy}$$

Using equation (i), = $$\frac{12}{35}$$

=> Ans - (C)

Expression : $$\frac{\frac{1}{3} + \frac{1}{3} \times \frac{1}{3}}{\frac{1}{3} + \frac{1}{3} of \frac{1}{3}} - \frac{1}{9}$$

= $$\frac{\frac{1}{3} + \frac{1}{9}}{\frac{1}{3} + \frac{1}{9}} - \frac{1}{9}$$

= $$1-\frac{1}{9}=\frac{8}{9}$$

=> Ans - (D)

Let third number be 10

Thus, first number = 4 and second number = 5

=> Required % = $$\frac{4}{5}\times100=80\%$$

=> Ans - (A)

Let total marks = $$100x$$ and minimum marks to qualify is 45% = $$45x$$

According to ques, => $$45x=79+56$$

=> $$45x=135$$

=> $$x=\frac{135}{45}=3$$

$$\therefore$$ Max marks = 300

=> Ans - (B)

Effective % amount she gave to charity and friend = $$10+20-(\frac{10\times20}{100})=28\%$$

Now, remaining salary is $$72\%\equiv7200$$

=> Total salary = $$100\%\equiv\frac{7200}{72}\times100=Rs.$$ $$10,000$$

=> Ans - (B)

Using the formula : $$\frac{N_1-1}{N_2-1}=\frac{T_1}{T_2}$$

Let in $$t$$ years, he gets 8 times the amount.

=> $$\frac{2-1}{8-1}=\frac{7}{t}$$

=> $$\frac{1}{7}=\frac{7}{t}$$

=> $$t=49$$ years

=> Ans - (B)

Let rate of interest = $$r\%$$ and principal sum = Rs. 2400

Simple interest for 13 months = $$\frac{P\times R\times T}{100}$$

=> $$\frac{2400\times r\times13}{12\times100}=200$$

=> $$26r=200$$

=> $$r=\frac{100}{13}\approx7.7\%$$

=> Ans - (D)