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

If

p : q = 1 : 2

q : r = 4 : 3

r : s = 4 : 5

and u is 50% more than s, what is the ratio p : u?

A
2 : 15
B
16 : 15
C
1 : 5
D
16 : 45
2
GATE CE 2022 Set 1
MCQ (Single Correct Answer)
+1
-0.33

In the following diagram, the point R is the center of the circle. The lines PQ and ZV are tangential to the circle. The relation among the areas of the squares, PXWR, RUVZ and SPQT is

GATE CE 2022 Set 1 General Aptitude - Numerical Ability Question 28 English

A
Area of SPQT = Area of RUVZ = Area of PXWR
B
Area of SPQT = Area of PXWR = Area of RUVZ
C
Area of PXWR = Area of SPQT = Area of RUVZ
D
Area of PXWR = Area of RUVZ = Area of SPQT
3
GATE CE 2022 Set 1
MCQ (Single Correct Answer)
+1
-0.33

P invested Rs.5000 per month for 6 months of a year and Q invested Rs. x per month for 8 months of the year in a partnership business. The profit is shared in proportion to the total investment made in that year. If at the end of that investment year, Q receives $${4 \over 9}$$ of the total profit, what is the value of (in Rs.)?

A
2500
B
3000
C
4687
D
8437
4
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
$${a^2}\, + \,{b^2}$$
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