1
GATE CE 2018 Set 1
MCQ (Single Correct Answer)
+2
-0.6
The price of a wire made of a superalloy material is proportional to the square of its length. The price of 10 m length of the wire is Rs. 1600. What would be the total price (in Rs.) of two wires of lengths 4 m and 6m?
A
768
B
832
C
1440
D
1600
2
GATE CE 2018 Set 1
MCQ (Single Correct Answer)
+2
-0.6
A fruit seller sold a basket of fruits at 12.5% loss. Had he sold it for Rs. 108 more, he would have made a 10% gain. What is the loss in Rupees incurred by the fruit seller?
A
48
B
52
C
60
D
108
3
GATE CE 2018 Set 1
MCQ (Single Correct Answer)
+2
-0.6
Which of the following function(s) is an accurate description of the graph for the range(s) indicated? GATE CE 2018 Set 1 General Aptitude - Numerical Ability Question 24 English $$\eqalign{ & (i)\,\,y = 2x + 4\,for\, - 3 \le x \le - 1 \cr & (ii)\,y = \,|x - 1|\,for\, - 1 \le x \le 2 \cr & (iii)\,y = \,\left| {\left| x \right| - 1} \right|\,for\, - 1 \le x \le 2 \cr & (iv)\,y = 1\,for\,2 \le x \le 3 \cr} $$
A
(i), (ii) and (iii) only.
B
(i), (ii) and (iv) only.
C
(i) and (iv) only.
D
(ii) and (iv) only.
4
GATE CE 2018 Set 1
MCQ (Single Correct Answer)
+2
-0.6
Consider a sequence of numbers $${a_1},{a_2},{a_3},....,{a_n}$$ where $${a_n} = {1 \over n} - {1 \over {n + 2}}$$, for each integer n > 0. What is the sum of the first 50 terms?
A
$$\left( {1 + {1 \over 2}} \right) - {1 \over {50}}$$
B
$$\left( {1 + {1 \over 2}} \right) + {1 \over {50}}$$
C
$$\left( {1 + {1 \over 2}} \right) - \left( {{1 \over {51}} + {1 \over {52}}} \right)$$
D
$$1 - \left( {{1 \over {51}} + {1 \over {52}}} \right)$$
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