Recent questions tagged gate2018-me-1

1
Which of the following functions describe the graph shown in the below figure? $y=\mid \mid x \mid + 1 \mid -2$ $y=\mid \mid x \mid - 1 \mid -1$ $y=\mid \mid x \mid + 1 \mid -1$ $y=\mid \mid x - 1 \mid -1 \mid$
2
Consider the following three statements: Some roses are red. All red flowers fade quickly. Some roses fade quickly. Which of the following statements can be logically inferred from the above statements? If (i) is true and (ii) is false, then (iii) is false. If (i) is true and (ii) is false, ... is true. If (i) and (ii) are true, then (iii) is true. If (i) and (ii) are false, then (iii) is false.
3
Seven machines take $7$ minutes to make $7$ identical toys. At the same rate, how many minutes would it take for $100$ machine to make $100$ toys? $1$ $7$ $100$ $700$
1 vote
4
A rectangle becomes a square when its length and breadth are reduced by $10$ m and $5$ m, respectively. During this process, the rectangle loses $650$ m$^2$ of area. What is the area of the original rectangle in square meters? $1125$ $2250$ $2924$ $4500$
1 vote
5
A number consists of two digits. The sum of the digits is $9$. If $45$ is subtracted from the number, its digits are interchanged. What is the number? 63 72 81 90
1 vote
6
For integers, $a$, $b$ and $c$, what would be the minimum and maximum values respectively of $a+b+c$ if $\log \mid a \mid + \log \mid b \mid + \log \mid c \mid =0$? $\text{-3 and 3}$ $\text{-1 and 1}$ $\text{-1 and 3}$ $\text{1 and 3}$
7
Given that $a$ and $b$ are integers and $a+a^2 b^3$ is odd, which of the following statements is correct? $a$ and $b$ are both odd $a$ and $b$ are both even $a$ is even and $b$ is odd $a$ is odd and $b$ is even
1 vote
From the time the front of a train enters a platform, it takes $25$ seconds for the back of the train to leave the platform, while traveling at a constant speed of $54$ km/h. At the same speed, it takes $14$ seconds to pass a man running at $9$ km/h in the same direction as ... and that of the platform in meters, respectively? $210$ and $140$ $162.5$ and $187.5$ $245$ and $130$ $175$ and $200$