The area of the base of a rectangular tank is 6500 cm^2 and the volume of water contained in it is 2.6 cubic metres. The depth of the water tank is-

Report

Report an issue

Name

Email

Message

Submit

Cancel

RRB ASSISTANT LOCO PILOT (Patna) 2013 click here to view all questions

The area of the base of a rectangular tank is 6500 cm^2 and the volume of water contained in it is 2.6 cubic metres. The depth of the water tank is-

A2.5 metre

B3 metre

C5.5 metre

D4 metre

rahim ? Jan 8 '2020 at 10:32

Correct answer is: 4 metre

Explanation:

\(l \times b = 6500 \text{ cm}^2 = 0.65 \text{ m}^2\)
\(l \times b \times h = 2.6 \text{ m}^3\)
\(0.65 \times h = 2.6\)
\(h =\frac{2.6}{0.65}\)
\(h = 4m\)

View Answer

Discuss

Two angles are complementary, if the sum of their measures is-

Report

Report an issue

Name

Email

Message

Submit

Cancel

RRB ASSISTANT LOCO PILOT (Patna) 2013 click here to view all questions

Two angles are complementary, if the sum of their measures is-

A90°

B100°

C180°

D360°

raju ? Jan 8 '2020 at 7:49

Correct answer is :90°

Explanatopn:

(i) If two angles are complementary, then the sum of their measures is 9090.

(ii) If two angles are supplementary, then the sum of their measures is 180180.

(iii) Two angles forming a linear pair are supplemetary.

(iv) If two adjacent angles are supplementary, they form a linear pair.

(v) If two lines intersect at a point, then the vertically opposite angles are always equalequal.

(vi) If two lines intersect at a point, and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite angles are obtuseobtuse.

View Answer

Discuss

The sides of a triangle are in the ratio of 1/2 : 1/3 : 1/4. If its perimeter is 52 cm, the length of the smallest side is :

Report

Report an issue

Name

Email

Message

Submit

Cancel

RRB ASSISTANT LOCO PILOT (Patna) 2013 click here to view all questions

The sides of a triangle are in the ratio of 1/2 : 1/3 : 1/4. If its perimeter is 52 cm, the length of the smallest side is :

A9 cm

B10 cm

C11 cm

D12 cm

rihad ? Jan 8 '2020 at 10:44

Correct answer is: 12 cm

Explanation:

\(\text{Let the sides be } \frac{1}{2}x, \frac{1}{3}x,\frac{1}{4}x\)

\(\text{Perimeter }= a+b+c\)

\(52cm = \frac{1}{2}x+\frac{1}{3}x+\frac{1}{4}x\)
 
\(52cm= \frac{(6x+4x+3x)}{12}\)

\(52= \frac{13}{12}x\)

\(\frac{52\times12}{13}=x\)

\(4\times12=x=48\)

\(\text{Sides are }\frac{1}{2}\times48=24cm;\)
\(\frac{1}{3}\times48=18cm;\)
\(\frac{1}{4}\times48=12cm\)

\(\therefore \text{12 cm is the smallest side}\)

View Answer

Discuss

The radius of the wheel of a vehicle is 70 cm. The wheel makes 10 revolutions in 5 seconds. The speed of the vehicle is-

Report

Report an issue

Name

Email

Message

Submit

Cancel

RRB ASSISTANT LOCO PILOT (Patna) 2013 click here to view all questions

The radius of the wheel of a vehicle is 70 cm. The wheel makes 10 revolutions in 5 seconds. The speed of the vehicle is-

A29.46 km/ hr

B31.68 km/ hr

C36.25 km/ hr

D32.72 km/ hr

raju ? Jan 8 '2020 at 10:50

Correct answer is : 31.68 km/hr

Explanation:

Circumference = 2πr
\(= 2 \times \frac{22}{7} \times \text{70 cm}\)
= 440 cm

Distance travelled in 10 revolutions = 440 x 10 cm
= 4400 cm
= 44 m

\(\therefore Speed = \frac{distance}{time} \)

\(= \frac{44}{5} \text{ m/sec}\)

\(= \frac{44}{5} \times \frac{18}{5} \text{ km/hr} \)

\(= 31.68 \text{ km/hr}\)

View Answer

Discuss

A train 132 metre long passes a telegraph post in 6 seconds. The speed of the train is-

Report

Report an issue

Name

Email

Message

Submit

Cancel

RRB ASSISTANT LOCO PILOT (Patna) 2013 click here to view all questions

A train 132 metre long passes a telegraph post in 6 seconds. The speed of the train is-

A70 km/ hr

B72 km/ hr

C79.2 km/ hr

D80 km/ hr

raju ? Jan 8 '2020 at 10:54

Correct answer is: 79.2 km/ hr

Explanation:

 

Speed =  \(\frac{132}{6} \text{ m/sec} \)

\(\Big(22\times \frac{18}{5}\Big) km/hr \)

79.2 km/hr

View Answer

Discuss