1
GATE CE 2018 Set 2
+1
-0.3
$$\underbrace {{\rm{a}}\,{\rm{ + }}\,{\rm{a}}\,{\rm{ + }}\,{\rm{a}}\,{\rm{ + }}\,.......\,{\rm{ + }}\,{\rm{a}}}_{{\rm{n}}\,{\rm{times}}} = {a^2}b$$ and $$\underbrace {b\,{\rm{ + }}\,b\,{\rm{ + }}\,b\,{\rm{ + }}\,.......\,{\rm{ + }}\,b}_{m\,\,{\rm{times}}} = a{b^2}$$, where a, b, n and m are natural numbers. What is the value of $$\left( {\underbrace {b\,{\rm{ + }}\,b\,{\rm{ + }}\,b\,{\rm{ + }}\,.......\,{\rm{ + }}\,b}_{n\,\,{\rm{times}}}} \right)\left( {\underbrace {a\,{\rm{ + }}\,a\,{\rm{ + }}\,a\,{\rm{ + }}\,.......\,{\rm{ + }}\,a}_{m\,\,{\rm{times}}}} \right)$$?
A
$$2{a^2}{b^2}$$
B
$${a^4}{b^4}$$
C
$$ab\left( {a\, + \,b} \right)$$
D
$${a^2}\, + \,{b^2}$$
2
GATE CE 2018 Set 2
+1
-0.3
A three-member committee has to be formed from a group of 9 people. How many such distinct committees can be formed?
A
27
B
72
C
81
D
84
3
GATE CE 2018 Set 2
+1
-0.3
For non-negative integers, a, b, c, what would be the value of a + b + c if $$\log \,a\, + \,\log \,b\, + \,\log \,c\, = \,0?$$\$
A
3
B
1
C
0
D
-1
4
GATE CE 2018 Set 1
+1
-0.3
Tower A is 90 m tall and tower B is 140 m tall. They are 100 m apart. A horizontal skywalk connects the floors at 70 m in both the towers. If a taut rope connects the top of tower A to the bottom of tower B, at what distance (in meters) from tower A will the rope intersect the skywalk?
A
22.22
B
50
C
57.87
D
77.78
GATE CE Subjects
Engineering Mechanics
Construction Material and Management
Geotechnical Engineering
Fluid Mechanics and Hydraulic Machines
Geomatics Engineering Or Surveying
Environmental Engineering
Transportation Engineering
General Aptitude
EXAM MAP
Medical
NEET