1
GATE CE 2022 Set 2
MCQ (Single Correct Answer)
+1
-0.33

$$x:y:z = {1 \over 2}:{1 \over 3}:{1 \over 4}$$

What is the value of $${{x + z - y} \over y}$$ = ?

A
1.25
B
0.75
C
3.25
D
2.25
2
GATE CE 2022 Set 2
MCQ (Single Correct Answer)
+1
-0.33

Both the numerator and the denominator of $${3 \over 4}$$ are increased by a positive $${15 \over 17}$$ integer, x, and those of _____ are decreased by the same integer. This operation results in the same value for both the fractions. What is the value of x?

A
3
B
4
C
1
D
2
3
GATE CE 2018 Set 2
MCQ (Single Correct Answer)
+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
$${a^2}\, + \,{b^2}$$
4
GATE CE 2018 Set 2
MCQ (Single Correct Answer)
+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
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