Question

Question :-
Tow giraffe shorty and tally are 11 m away and the ant is somewhere between them .shorty is 2√3m long. from the ant pint of view the angle of elevation of shorty and tally 60 and 30° respectively .
How tall is tally ?​

Answer 1

Answer:

Quantitative Aptitude: Data Sufficiency Questions Set 8

September 1, 2017

Quantitative Aptitude Questions for IBPS RRB/PO/Clerk, SBI PO, NIACL, NICL, RBI Grade B/Assistant, BOI, Bank of Baroda and other competitive exams

Directions(1-10): In each of the following questions, a question is followed by two statements . Read all the statements and find that which statements are required to answer the question and answer accordingly.

There are two cylindrical rollers – bigger and smaller. How many rotations will the bigger roller take to flatten a stretch of land(X)?

The respective ratio of the radii of the bigger and the smaller roller is 7:3. Both the rollers are of the same length.

II. The smaller takes 63 rotations to flatten the stretch of land(X).

A) Either I or II

B) Neither I nor II

C) Only II

D) Only I

E) Both are required

View Answer

What was the total compound interest on a sum after three years?

I. The interest after one year was Rs. 100 and the sum was Rs. 1000.

II. The difference between simple interest and compound interest on a sum of Rs. 1000 at the end of two years was Rs. 10.

A) Only II

B) Only I

C) Either I or II

D) Neither I nor II

E) Both I and II

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What is the marked price of the pen ?

I. The marked price of the pen is 20% above the cost price of the pen.

II. When a discount of 25% is given on the marked price of the pen, the loss incurred is 10%. The cost price of the pen is Rs.300.

A) Both I and II

B) Only I

C) Neither I nor II

D) Only II

E) Either I or II

View Answer

In how many days, men A , B and C together can finish the same piece of work

I. A and B can together finish the same piece of work in 6 days. B and C together can finish the same piece of work in 12 days. C and A can finish the same piece of work in 10 days .

II. The time taken by A alone to finish the same piece of work is 24 days less than time taken by C alone to finish the same piece of work.

A) Only I

B) Either I or II

C) Neither I nor II

D) Only II

E) Both I and II

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In a certain village is losing 12% of its water supply each day because of a burst water pipe, then what is the loss in rupees per day?

I. The cost to the village for every 24000 gallons of water lost is Rs. 25.

II. The daily water to the village is 700 m gallon.

A) Neither I nor II

B) Either I or II

C) Only II

D)Both I and II

E) None of these

View Answer

Rohan and Mohan start walking towards each other simultaneously. What is the distance between them when they start?

I. 30 minutes after crossing each other they were 1200 m apart.

II. After crossing each other, Rohan reaches the starting point of Mohan in twice as much time as Mohan takes to reach the starting point of Rohan.

A) Both I and II

B) Only I

C) Only II

D) Either I or II

E) Neither I nor II

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What is the area of the circular field?

I. The area of the largest square that can be inscribed in the given circular field is 3000 sq. cm.

II. The area of the smallest square in which the given circular field can be inscribed is 3600 sq. cm.

A) Only II

B) Either I or II

C)Neither I nor II

D) Both I and II

E) Only I

View Answer

Find the average of five consecutive odd numbers .

I. The sum of the first two numbers is 5 more than the seventh number.

II. The difference of fifth number and the first number is 10.

A) Only I and II

B) Only I

C)Either I nor II

D)Neither I nor II

E) Both I and II

View Answer

What is the present age of Tina ?

I. Tina is 5 years older than her brother .

II. The ratio of the present ages of her brother and Tina is 4:5 resp.

A) Only I

B) Only II

C) Both I and II

D) Either I or II

E) Neither I nor II

View Answer

Every student in a school was given one ticket for a function. The school was charged a total of $6000 for these tickets, all of which were of equal value. What was the price of one ticket?

I. If the price of each ticket had been $2 more , the total bill would have increased by 40%.

II. If the price of each ticket had been $1 less, the total cost would have been 1,200 less.

A) Only I

B) Either I or II

C)Only II

D) Both I and II

E) Neither I nor II

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Answer 2

$\huge\sf\pink{Answer}$

☞ Height of Tally is 3√3 m

━━━━━━━━━━━━━

$\huge\sf\blue{Given}$

✭ There are two giraffes named Shorty and Tally

✭ There's an ant placed somewhere between these two giraffes

✭ Height of shortly is 2√3 m

✭ From the ant's point of view the angle of elevation for these two giraffes are 60° & 30°

━━━━━━━━━━━━━

$\huge\sf\gray{To \:Find}$

◈ Height of Tally?

━━━━━━━━━━━━━

$\huge\sf\purple{Steps}$

$\large\underline{\underline{\sf Let}}$

• AB be the height of Tally
• ED be the height of Shortly
• BD be the distance between the two giraffes
• CD be x which is equal to the distance between the ant and Shortly
• BC be 11-x which is equal to the distance between the ant and Tally

In ∆EDC

➝ $\sf tan \theta = \dfrac{Opposite}{Adjacent}$

➝ $\sf tan \ 60^{\circ} = \dfrac{ED}{CD}$

➝ $\sf tan \ 60^{\circ} = \dfrac{2\sqrt{3}}{x}$

$\sf \bigg\lgroup tan \ 60^{\circ} = \sqrt{3}\bigg\rgroup$

➝ $\sf \sqrt{3} = \dfrac{2\sqrt{3}}{x}$

➝ $\sf \sqrt{3} \times x = 2\sqrt{3}$

➝ $\sf x = \dfrac{2\sqrt{3}}{\sqrt{3}}$

➝ $\sf \green{x = 2 \ m}$

So then the value of ABC will be,

➳ $\sf BC = 11-x$

➳ $\sf BC = 11-2$

➳ $\sf \red{BC = 9 \ m}$

In ∆ABC

»» $\sf tan \theta = \dfrac{Opposite}{Adjacent}$

»» $\sf tan \ 30^{\circ} = \dfrac{AB}{BC}$

»» $\sf tan \ 30^{\circ} = \dfrac{AB}{9}$

$\sf\bigg\lgroup tan \ 30^{\circ} = \dfrac{1}{\sqrt{3}}\bigg\rgroup$

»» $\sf \dfrac{1}{\sqrt{3}} = \dfrac{AB}{9}$

»» $\sf 1 \times 9 = \sqrt{3} \times AB$

»» $\sf 9 = \sqrt{3} AB$

»» $\sf AB = \dfrac{9}{\sqrt{3}}$

Rationalising the denominator,

➠ $\sf AB = \dfrac{9}{\sqrt{3}} \times \dfrac{\sqrt{3}}{\sqrt{3}}$

➠ $\sf AB = \dfrac{9\sqrt{3}}{3}$

➠ $\sf \orange{AB = 3\sqrt{3} \ m}$

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☯ $\underline{\sf Know \ More}$

$\begin{gathered}\bullet\:\sf Trigonometric\:Values :\\\\\boxed{\begin{tabular}{c|c|c|c|c|c}Radians/Angle & 0 & 30 & 45 & 60 & 90\\\cline{1-6}Sin \theta & 0 & \dfrac{1}{2} & \dfrac{1}{\sqrt{2}} & \dfrac{\sqrt{3}}{2} & 1\\\cline{1-6}Cos \theta & 1 & \dfrac{\sqrt{3}}{2}& \dfrac{1}{\sqrt{2}}& \dfrac{1}{2}&0\\\cline{1-6}Tan \theta&0& \dfrac{1}{\sqrt{3}}&1&\sqrt{3}&Not D{e}fined\end{tabular}}\end{gathered}$

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