The diagonal of the floor of a rectangular closet is 7$\fn_jvn \frac{1}{2}$ feet. The shorter side of the closet is 4$\fn_jvn \frac{1}{2}$ feet. What is the area of the closet in square feet?

 A) 9 B) 18 C) 27 D) 36

Explanation:

Other side = $\inline \sqrt{\left ( \frac{15}{2} \right )^{2}-\left ( \frac{9}{2} \right )^{2}}$ = $\inline \sqrt{\frac{225}{4}-\frac{81}{4}}$ = $\inline \sqrt{\frac{144}{4}}$ = 6 ft

Area of closet = (6 x 4.5) sq. ft = 27 sq. ft.

Subject: Area - Quantitative Aptitude - Arithmetic Ability
Exam Prep: AIEEE

0

Two electric bulbs marked 25W – 220V and 100W – 220V are connected in series to a 440Vsupply. Which of the bulbs will fuse?

 A) 25 W B) Both C) 100 W D) Neither

Explanation:

Resistances of both the bulbs are

$R_{1}=\frac{V^{2}}{P_{1}}=\frac{220^{2}}{25}$

$R_{2}=\frac{V^{2}}{P_{2}}=\frac{220^{2}}{100}$

Hence  $R_{1}>&space;R_{2}$

When connected in series, the voltages divide in them in the ratio of their resistances. The voltage of 440 V devides in such a way that voltage across 25 w bulb will be more than 220 V. Hence 25 w bulb will fuse.

Subject: Physics
Exam Prep: AIEEE

19

Hydrogen atom is excited from ground state to another state with principal quantum number equal to 4. Then the number of spectral lines in the emission spectra will be

 A) 2 B) 6 C) 5 D) 3

$=\frac{n(n-1)}{2}=6.$