# GATE Questions

Q:

Ravi, Anand and Pranay are running a business firm in partnership. What is Anand's share in the profit earned by them?
a. Ravi, Anand and Pranay invested the amounts in the ratio of 2 : 4 : 7.
b. Pranay's share in the profit is Rs. 8750.

 A) Only a is sufficient B) Neither a nor b is sufficient C) Only b is sufficient D) Both a and b sufficient

Explanation:

Given Pranay's profit in the share is Rs. 8750
But given that their investments are in the ratio 2:4:7
$\inline&space;\fn_jvn&space;\small&space;\frac{7}{13}\times&space;P$ = 8750
P = 16250
Now Anand's share = $\inline \fn_jvn \small \frac{4}{13}\times 16250$ =Rs.5000

Thus both staements a and b are sufficient to answer this question.

1 318
Q:

Calculate the angle between the two hands of clock when the clock shows 4 : 20 p.m. ?

 A) 5 degrees B) 10 degrees C) 15 degrees D) 25 degrees

Explanation:

Since at 4 : 20 the minute hand will be at 4 and the angle between them will be same as the distance covered in degree by the hour hand in 20 minutes.

Required angle = distance of hour hand = speed × time = $\inline \frac{1}{2}$ × 20 =10 degrees.

Filed Under: Clock puzzles
Exam Prep: Bank Exams , CAT , GATE , GRE
Job Role: Bank Clerk , Bank PO

3 317
Q:

Vishal invested 10% more than Trishul. Trishul invested 10% less than Raghu. If the total sum of their investments is Rs. 5780, how much amount did Raghu invest ?

 A) Rs.2010 B) Rs.2200 C) Rs.2000 D) Rs.2100

Explanation:

Let money invested by Raghu = Rs. x
Money invested by Trishul = 9/10 x = 0.9x
Money invested by Vishal = 9/10x * 110/100 = 0.99x
Also, x+0.9x+0.99x = 5780
= x= 5780/2.89 = 2000

Therefore, amount invested by Raghu is Rs. 2000.

6 317
Q:

An amount of Rs. 25000 is invested in two types of shares. The first yields an interest of 6% p.a. and the second, 10% p.a. If the total interest at the end of one year is  $\inline \fn_jvn \small 7\tfrac{3}{4}$ %, then the amount invested in each share is ?

 A) Rs. 21812.5 B) Rs. 31245.7 C) Rs. 24315.5 D) Rs. 20000

Explanation:

Let the amount invested at 6% be Rs. P and that invested at 10% be Rs. (25000-P).
Then,

$\inline \fn_jvn \small \left ( \frac{P\times 6\times 1}{100} \right )+\left ( \frac{(25000-P)\times 10\times 1}{100}\right )=\left ( 25000\times \frac{31}{4}\times \frac{1}{100} \right )$

$\inline \fn_jvn \small \Rightarrow \frac{6P+250000-10P}{100}=\frac{105\times 31}{2}$

$\fn_jvn&space;\small&space;\Rightarrow$ P = Rs. 21812.5

3 316
Q:

A man rows his boat 60 km downstream and 30 km upstream taking 3 hrs each time. Find the speed of the stream ?

 A) 5 kmph B) 10 kmph C) 15 kmph D) 45 kmph

Speed of the boat downstream  $\inline \fn_jvn \small s=\frac{d}{t}$ = $\inline \fn_jvn \small \frac{60}{3} = 20 kmph$
Speed of the boat upstream $\inline \fn_jvn \small s= \frac{d}{t} = \frac{30}{3} = 10 kmph$
$\fn_jvn&space;\small&space;\therefore$ The speed of the stream = $\inline \fn_jvn \small \frac{(speed of downstream - speed of upstream)}{2} = 5kmph$.