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Veto q&a 7 Month22 (1)

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2018<br />

May<br />

@hang out<br />

Q<br />

Q<br />

Q<br />

Volume of Cylinder<br />

The number of sphere got =<br />

Volume of sphere<br />

160π 160 × 3<br />

= = = 15<br />

32<br />

π<br />

32<br />

3<br />

A garden is 90m long and 75m broad. A path 5m<br />

wide is to be built outside around it. Find the area<br />

of the path?<br />

The area of the path = Area of ABCD - Area of<br />

PQRS<br />

=(100x85) - (90x75)<br />

= 8500-6750<br />

= 1750m 2<br />

D<br />

C<br />

S<br />

90 5<br />

R<br />

5<br />

75<br />

85<br />

5<br />

P 5 Q<br />

A<br />

100<br />

A teacher driving her vehicle at 24 km/hr, reaches<br />

her school 5 minutes late. If she had driven the<br />

vehicle 25% faster on an average she would have<br />

reached 4 minutes earlier than the scheduled time.<br />

How far her school?<br />

Here first speed S 1<br />

= 24 km/hr<br />

125<br />

Second speed S 2<br />

= 24x = 30 km/hr<br />

100<br />

S1×<br />

S2<br />

Required distance = (Time difference)<br />

S1−<br />

S2<br />

24 × 30 9<br />

= x = 18km<br />

6 60<br />

Juice is sold in an aluminium can of cylindrical<br />

shape that measure 6 inches in height and 2<br />

inchesin diameter. How many cubic inches of juice<br />

are contained in a full can approximately?<br />

22<br />

Volume of the can = πr 2 h = x1x1x6<br />

7<br />

22<br />

7<br />

= x6 Cubic inch<br />

132<br />

= Cubic inch<br />

7<br />

Approximately required volume = 18.8 cubic inch<br />

B<br />

Q<br />

Q<br />

Q<br />

Q<br />

The radii of bases of a cylinder and a cone are in<br />

the ratio 3:4. Volume of cylinder and cone are in<br />

the ratio 9:8. Then their heights are in the ratio?<br />

Volume of cylinder = πr 2 h 1 1<br />

1<br />

Volume of cone = π 2 h 2 2<br />

3<br />

Ratio of volume of cylinder and cone,<br />

1<br />

3<br />

3× 3 2 h1<br />

9<br />

=<br />

2<br />

4 h 8<br />

πr 2 1 h 1 : πr2 2 h 2 = 9:8<br />

h<br />

h<br />

1<br />

2<br />

2<br />

2<br />

9×<br />

4 2<br />

= =<br />

2<br />

8× 3×<br />

3 3<br />

h 1<br />

: h 2<br />

= 2 : 3<br />

A purse contains 1 rupee, 50 paise and 25 paise<br />

coins in the ratio 7:8:9. If the total money in the<br />

purse is 159. The number of 50 paise coins in the<br />

purse will be?<br />

Ratio of values of 1 rupee, 50 paise and 25 paise<br />

7 8 9<br />

= : : = 28 : 16 : 9<br />

1 2 4<br />

Sum of the ratio = 28+16+9 = 53<br />

16<br />

Value of 50 paise coins = 159x =48<br />

53<br />

Number of 50 paise coins = 48x2 = 96<br />

In a row of students, Sherin is 12 th from the left and<br />

Athira is 19 th from the right. If they interchange their<br />

positions, Sherin becomes 16 th from the left. The,<br />

what will be position of Athira from the right?<br />

11+Sherin ....... + Athira + 18<br />

If they interchange their position, Sherin is 16 th from<br />

the left<br />

ie, 11 + Athira + 3 + Sherin + 18<br />

Athira is 23 rd from right<br />

( )<br />

8+ 2 = ?<br />

(a+b) =a +2ab+b<br />

( 8 ) + 2x 8x 2 + ( 2)<br />

=10+2 2x2x 2<br />

= 10 + 8 = 18<br />

2<br />

2 2 2<br />

2 2<br />

= 8+2x 2x4x 2+2<br />

50 Q&AUbdn current affairs & gk<br />

www.vetopsc.org<br />

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