# Recent activity by Pooja Khatri

1
Hema's age is $5$ years more than twice Hari's age. Suresh's age is $13$ years less than 10 times Hari's age. If Suresh is $3$ times as old as Hema, how old is Hema? $14$ $17$ $18$ $19$
2
A function $f$ defined on stacks of integers satisfies the following properties. $f(∅) = 0$ and $f (push (S, i)) = max (f(S), 0) + i$ for all stacks $S$ and integers $i$. If a stack $S$ contains the integers $2, -3, 2, -1, 2$ in order from bottom to top, what is $f(S)$? $6$ $4$ $3$ $2$
3
The result evaluating the postfix expression $10 \ 5 + 60 \ 6 / * 8 -$ is $284$ $213$ $142$ $71$
4
Which one of the following hash functions on integers will distribute keys most uniformly over $10$ buckets numbered $0$ to $9$ for $i$ ranging from $0$ to $2020$? $h(i) = i^2 \text{mod } 10$ $h(i) = i^3 \text{mod } 10$ $h(i) = (11 \ast i^2) \text{mod } 10$ $h(i) = (12 \ast i^2) \text{mod } 10$
5
Consider the following Finite State Automaton: The minimum state automaton equivalent to the above FSA has the following number of states: $1$ $2$ $3$ $4$
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How many 2 state DFA’s with designated initial state can be constructed over the alphabet Σ = {a, b} that accept empty language ϕ ? (a) 4 (b) 16 (c) 20 (d) 24
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Two machine $M1$ and $M2$ are able to execute any of four jobs $P,Q,R$ and $S$. The machines can perform one job on one object at a time. Jobs $P,Q,R$ and $S$ take $30$ minutes, $20$ minutes, $60$ minutes and $15$ minutes each respectively. There are $10$ objects each ... Job $S$ on $4$ objects. What is the minimum time needed to complete all the jobs? $2$ hours $2.5$ hours $3$ hours $3.5$ hours
9
The last digit of $(2171)^{7}+(2172)^{9}+(2173)^{11}+(2174)^{13}$ is $2$ $4$ $6$ $8$
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Students applying for hostel rooms are allotted rooms in order of seniority. Students already staying in a room will move if they get a room in their preferred list. Preferences of lower ranked applicants are ignored during allocation. Given the data below, which room will Ajit stay in ? ... $P$ $Q$ $R$ $S$
11
The old concert hall was demolished because of fears that the foundation would be affected by the construction of the new metro line in the area. Modern technology for underground metro construction tried to mitigate the impact of pressurized air pockets created by ... hurdle to metro construction in that area. pressurized air can be used to excavate large amount of soil from underground areas.
12
The following sequence of numbers is arranged in increasing order: $1,x,x,x,y,y,9,16,18$. Given that the mean and median are equal, and are also equal to twice the mode, the value of $y$ is $5$ $6$ $7$ $8$
13
If the radius of a right circular cone is increased by $50\%$ its volume increases by $75\%$ $100\%$ $125\%$ $237.5\%$
14
Consider the following sentences: All benches are beds. No bed is bulb. Some bulbs are lamps. Which of the following can be inferred? Some beds are lamps. Some lamps are beds. Only i Only ii Both i and ii Neither i nor ii
15
_______________ with someone else’s email account is now a very serious offence. Involving Assisting Tampering Incubating
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"Popular Hindi fiction, despite - or perhaps because of - its wide reach, often does not appear in our cinema. As ideals that viewers are meant to look up to rather identify with, Hindi film protagonists usually read books of aspirational value: textbook, ... have aspirational value, but not popular Hindi fiction People do not look up to writers of textbook, English books or high-value literature
17
An oil tank can be filled by pipe $X$ in $5$ hours and pipe $Y$ in $4$ hours, each pump working on its own. When the oil tank is full and the drainage hole is open, the oil is drained in $20$ hours. If initially the tank was empty and someone started the two pups together ... take for the tank to be filled? (Assume that the rate of drainage is independent of the Head) $1.50$ $2.00$ $2.50$ $4.00$
18
The Newspaper reports that over $500$ hectares of tribal land spread across $28$ tribal settlements in Mohinitampuram forest division have already been alienated . A top forest official said, First the tribals are duped out of their land holdings. Second, ... paragraph,______ is /are responsible for duping the tribals. forest officials landless families The Newspaper it can not be inferred who
19
Population of state $X$ increased by x$\%$ and the population of state $Y$ increased by y$\%$ from $2001$ to $2011.$ Assume that $x$ is greater than $y$. Let $P$ be the ratio of the population of state $X$ to state $Y$ in a given year. The percentage increase in $P$ from $2001$ to $2011$ is ________ $\frac{x}{y}$ $x-y$ $\frac{100(x-y)}{100+x}$ $\frac{100(x-y)}{100+y}$
20
Mohan, the manager, wants his four workers to work in pairs. No pair should work for more than $5$ hours. Ram and John have worked together for $5$ hours. Krishna and Amir have worked as a team for $2$ hours. Krishna does not want to work with Ram. Whom should Mohan allot to work with John, if he wants all the workers to continue working? Amir Krishna Ram None of three
21
Hema Das was_____ only Indian athlete to win _______ gold for India. the , many the, a an, a an , the
22
A retaining wall with measurements $30$ m $\times12$ m $\times 6$ m was constructed with bricks of dimensions $8$ cm $\times6$ cm $\times 6$ cm. If $60\%$ of the wall consists of bricks, the number of bricks used for the construction is _______ lakhs. $30$ $40$ $45$ $75$
23
Suresh wanted to lay a new carpet in his new mansion with an area of $70\times 55$ sq.mts. However an area of $550$ sq. mts. had to be left out for flower pots. If the cost carpet is Rs.$50$ sq. mts. how much money (in Rs.) will be spent by Suresh for the carpet now? $Rs.1,65,000$ $Rs.1,92,500$ $Rs.2,75,000$ $Rs.1,27,500$
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The growth rate of ABC Motors in $2017$ was the same ________ XYZ Motors in $2016.$ as off as those of as that off as that of
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Daytime temperature in Delhi can ______ $40^{\circ}C.$ get stand reach peak
26
I read somewhere that in ancient times the prestige of a kingdom depended upon the number of taxes that it was able to levy on its people. It was very much like the prestige of a head-hunter in his own community. Based on the paragraph above, the ... upon ______________ the prestige of the kingdom the prestige of the heads the number of taxes he could levy the number of heads he could gather
Two trains started at $7$AM from the same point. The first train travelled north at a speed of $80$km/h and the second train travelled south at a speed of $100$km/h. The time at which they were $540$ km apart is ________ AM. $9$ $10$ $11$ $11.30$
In a country of $1400$ million population, $70\%$ own mobile phones. Among the mobile phone owners, only $294$ million access the Internet. Among these Internet users, only half buy goods from e-commerce portals. What is the percentage of these buyers in the country? $10.50$ $14.70$ $15.00$ $50.00$
Since the last one year after a $125$ basis point reduction in repo rate by the Reserve Bank of India, banking institutions have been making a demand to reduce interest rates on small saving schemes. Finally, the government announced yesterday a reduction in interest ... A reduction in interest rates on small savings scheme follow only after a reduction in repo rate by the Reserve Bank Of India