1
GATE ECE 2011
+2
-0.6
The sum of n terms of the series 4 + 44 + 444 +.... is
A
$$\left(4/81\right)\;\left[10^{\mathrm n+1}\;-\;9\mathrm n\;-\;1\right]$$
B
$$\left(4/81\right)\;\left[10^{\mathrm n-1}\;-\;9\mathrm n\;-\;1\right]$$
C
$$\left(4/81\right)\;\left[10^{\mathrm n+1}\;-\;9\mathrm n\;-\;10\right]$$
D
$$\left(4/81\right)\;\left[10^\mathrm n\;-\;9\mathrm n\;-\;10\right]$$
2
GATE ECE 2011
+2
-0.6
The fuel consumed by a motorcycle during a journey while traveling at various speeds is indicated in the graph below.

The distances covered during four laps of the journey are listed in the table below

From the given data, we can conclude that the fuel consumed per kilometre was least during the lap

A
P
B
Q
C
R
D
S
3
GATE ECE 2010
+2
-0.6
Hari (H), Gita (G), Irfan (I) and Saira (S) are siblings (i.e. brothers and sisters). All were born on 1st January. The age difference between any two successive siblings (that is born one after another) is less than 3 years. Given the following facts:

i. Hari’s age + Gita’s age > Irfan’s age + Saira’s age.

ii. The age difference between Gita and Saira is 1 year. However, Gita is not the oldest and Saira is not the youngest.

iii. There are not twins.

In what order were they born (Oldest first)?
A
HSIG
B
SGHI
C
IGSH
D
IHSG
4
GATE ECE 2010
+2
-0.6
If 137+276=435 how much is 731+672?
A
534
B
1403
C
1623
D
1513
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