Mathematical Abilities 01 There are three taps of diameter 2 cm, 3 cm and 4 cm, respectively. The ratio of the water flowing through them is equal to the ratio of the square of their diameters. The biggest tap can fill an empty tank alone in 81 min. If all the taps are opened simultaneously, then how long will the tank take (in min) to be filled?
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06 A glass jar contains 6 white, 8 black, 4 red and 3 blue marbles. If a single marble is chosen at random from the jar, what is the probability that it is black or blue?
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25 The difference of simple interest from two banks on ₹8,000 in 3 years is ₹800. If the rate of interest per annum in two banks are R1 and R2, then what is the value of R1 R2? (Where R1 > R2)
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Reasoning and General Intelligence 04 Swipe →
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12 A number has been denoted to each of the given letters. Select the option from the following four possible arrangements of these numbers that forms a meaningful word. E = 1, Z = 2, L = 3, P = 4, U = 5, Z = 6
A 4,5,1,6,2,3 B 6,1,4,3,5,2 C 1,5,3,4,2,6 D 4,5,6,2,3,1
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13 Swipe →
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16 Swipe →
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19 Select the option in which the following figure is embedded. (Rotation is NOT allowed)
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23 Swipe →
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24 Select the set in which the numbers are related in the same way as are the numbers of the following sets. (NOTE : Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding /deleting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is NOT allowed) (11, 33, 17), (18, 44, 21)
A (12, 40, 18) B (7, 32, 9) C (16, 43, 22) D (15, 34, 19)
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25 Swipe →
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26 Figure A is related to B in a certain pattern. Following the same pattern, figure C is related to D. Study the pattern and select the figure which should be placed in place of D.
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29
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English Language and Comprehension 07 For the four-sentence (S1 to S4) paragraph below, sentences S1 and S4 are given. From the options P, Q, R and S select the appropriate sentences for S2 and S3, respectively. (S1) The men and women took their places after the initial mingling, and immediately a surge of conversation filled the room. (S2) (S3) (S4) One or two of the women were actually bouncing up and down on the sofa cushions.
(P) So, the two parties had to lean forward, their elbows on their knees.
(Q) At the beginning they mingled awkwardly, clutching their drinks, and walking here and there.
(R) Several people made a last-minute dash to the bathroom before the conversation could start.
(S) The men’s chairs were far enough away from the women’s couches.
A P, R B R, Q C Q, S D S, P
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16 Sentences of a paragraph are given below in jumbled order. Arrange the sentences in the correct order to form a meaningful and coherent paragraph.
a. Many fitness trainers encourage their clients to include these foods in their diet to build muscle.
b. Power foods can be included in your everyday diet in a variety of ways.
c. The secret to getting the most out of power foods is, of course, knowing how to cook them properly, buying seasonal produce and recognising your preferred flavour profile.
d. Power foods are high in nutrients such as fibre, potassium and minerals.
A d, b, c, a B d, a, b, c C b, c, a, d D a, d, b, c
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Passage For questions 30–33 In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank. The Maasais live in (1)______ very beautiful part of Africa. They live on the wide plains in southern and northern Kenya and northern Tanzania. The area (2)______ of miles of rolling grass land, on which you can find thorny bushes and rocky hills. The people move from one place to another according to the seasons, looking for grasses and other plants (3)______ which their cattle can graze. They have no permanent home. When they want to settle in a place for some time, they build a kind of camp called a ‘Manyatta’, where a few families live for a (4)______ weeks or months. Then they move on again, taking their few belongings with them, and burning the old ‘Manyatta’ to the ground.
Passage For questions 34–37 Read the following passage and answer the questions given after it. The number of Indian students going abroad for higher studies has increased by 68.79 per cent in the past year, according to data provided by the Minister of State in the Ministry of Education, Subhas Sarkar. As per the data provided by him in the Lok Sabha, the number of Indians enrolled in foreign varsities increased from 4.44 lakh in 2021 to 7.5 lakh in 2022. He clarified that while the Bureau of Immigration and Ministry of Home Affairs maintain departure and arrival data of Indians, there is no index for capturing the category of Indians going abroad for higher education. “Purpose of Indians going abroad for higher education is captured manually based either on their verbal disclosure or the type of visa of the destination country produced by them at the time of immigration clearance,” Sarkar said. According to the data provided by the ministry, the number of Indian nationals increased from 4.54 lakh in 2017 to 5.17 lakh in 2018. There was a significant increase in 2019 as well, with 5.86 lakh students flying out of the country. However, during the Covid pandemic, the number of Indian nationals in foreign varsities saw a drastic dip as only 2.59 lakh students were registered. While the number continued to remain low, it saw a slight increase in 2021 with 4.44 lakh registrations. However, the number has significantly jumped to 7.5 lakh in 2022. The increase in the number of Indian nationals abroad corresponds with the latest immigration reports from some of the popular study-abroad destinations such as the US, UK, and Australia. For the UK, the Immigration Statistics Report states that 127,731 visas were granted to Indian students in September 2022, an increase of 93,470 (+273 per cent) against 34,261 in 2019. Similarly, in the US, the number of Indian students has more than doubled, and the Open Doors Report 2022 has predicted that the number of Indian students heading to America is likely to surpass those from China in 2022-23.
Passage For questions 38–41 Read the given passage and answer the questions that follow.
We sit in the last row, bumped about but free of stares. The bus rolls out of the dull crossroads of the city, and we are soon in the open countryside, with fields of sunflowers as far as the eye can see, their heads all facing us. Where there is no water, the land reverts to the desert. While still on level ground, we see in the distance the tall range of the Mount Bogda, abrupt like a shining prism laid horizontally on the desert surface. It is over 5,000 metres high, and the peaks are under permanent snow, in powerful contrast to the flat desert all around. Heaven lake lies part of the way up this range, about 2,000 metres above sea level, at the foot of one of the highest snow-peaks. As the bus climbs, the sky, brilliant before, grows overcast. I have brought nothing warm to wear. It is all down at the hotel in Urumqi. Rain begins to fall. The man behind me is eating overpoweringly smelly goat’s cheese. The bus window leaks inhospitably but reveals a beautiful view. We have passed quickly from the desert through arable land to pasture and the ground is now green with grass, the slopes dark with pine. A few cattle drink at a clear stream flowing past moss-covered stones; it is a Constable landscape. The stream changes into a white torrent, and as we climb higher I wish more and more that I had brought with me something warmer than the pair of shorts that have served me so well in the desert. The stream (which, we are told, rises in Heaven Lake) disappears, and we continue our slow ascent. About noon, we arrive at Heaven Lake, and look for a place to stay at the foot, which is the resort area. We get a room in a small cottage, and I am happy to note that there are thick quilts on the bed. Standing outside the cottage, we survey our surroundings. Heaven Lake is long, sardineshaped and fed by snowmelt from a stream at its head. The lake is an intense blue, surrounded on all sides by green mountain walls, dotted with distant sheep. At the head of the lake, beyond the delta of the inflowing stream, is a massive snow-capped peak which dominates the vista; it is part of a series of peaks that culminate, a little out of view, in Mount Bogda itself. For those who live in the resort, there is a small mess-hall by the shore. We eat here sometimes, and sometimes buy food from the vendors outside, who sell kabab and naan until the last buses leave. The kababs, cooked on skewers over charcoal braziers, are particularly good; highly spiced and well-done. Horse’s milk is available too from the local Kazakh herdsmen, but I decline this. I am so affected by the cold that Mr. Cao, the relaxed young man who runs the mess, lends me a spare pair of trousers, several sizes too large but more than comfortable. Once I am warm again, I feel a pre-dinner spurt of energy—dinner will be long in coming—and I ask him whether the lake is good for swimming in.
Passage For questions 43–45 Read the following passage and answer the questions given after it. From January 28 to February 4, 2023, a Chinese-operated, large white high-altitude balloon was seen in North American airspace, including Alaska, western Canada, and the contiguous United States. The American and Canadian militaries asserted that the balloon was for surveillance, while the Chinese government maintained it was a civilian meteorological research airship that had been blown off course. Analysts said that the balloon's flight path and structural characteristics made it dissimilar from those which have typically been used for meteorological research. The U.S. Department of State said that the balloon was capable of locating electronic communication devices, including mobile phones and radios, and that American U-2 reconnaissance aircraft deployed to track the balloon in the air revealed that the balloon carried antennas and other equipment "clearly for intelligence surveillance and inconsistent with the equipment on board weather balloons." The State Department said that the spy balloon was part of a global Chinese military-directed surveillance effort in which Chinese spy balloons have flown over more than 40 nations in five continents. On February 4, the U.S. Air Force shot down the balloon over U.S. territorial waters off the coast of South Carolina, on the order of U.S. President Joe Biden. Debris from the wreckage was recovered and sent to the FBI Laboratory in Quantico, Virginia, for analysis. The incident increased U.S.-China tensions. The incident prompted U.S. Secretary of State Antony Blinken to delay a diplomatic visit to Beijing, which was set to be his first since 2018. It also further strained Canada–China relations, as Canada summoned the Chinese ambassador because of the violation of Canadian airspace. On February 3, the U.S. Department of Defense announced that a second Chinese balloon was passing over Latin America, which China also said belonged to it. On February 10, the Air Force shot down another aerial object over U.S. territory at the order of President Biden.
General Awareness 10
A a-i, b-ii, c-iv, d-iii B a-ii, b-i, c-iii, d-iv C a-i, b-ii, c-iii, d-iv D a-ii, b-i, c-iv, d-iii
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