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Question : Directions: Find the correct alternative that when filled in the blanks in the given sequence will make the series logically complete. R_R_D_ _DR_ _R_D_
Option 1: DRDDDRRD
Option 2: RDRRDRDD
Option 3: DRRRRDRR
Option 4: RDDRDDRD
Correct Answer: DRRRRDRR
Solution : Given: R_R_D_ _DR_ _R_D_
To fill the series we have to divide the series – R_R /_D_ / _DR / _ _R / _D_ Let's check each option – First option: DRDDDRRD; RDR / RDD / DDR / DR
Question : The area of a sector of a circle of radius 28 cm is 112 cm2. Find the length of the corresponding arc of the sector.
Option 1: 4 cm
Option 2: 8 cm
Option 3: 6 cm
Option 4: 5 cm
Correct Answer: 8 cm
Solution : Given: The area of a sector of a circle of radius 28 cm is 112 cm2. The area of a sector of a circle of radius $r=\pi\times r^2 \times \frac{\theta}{360^\circ}$ ⇒ $\frac{22}{7} \times 28^2 \times \frac{\theta}{360^\circ} = 112$ ⇒ $\theta = \frac{360^\circ}{22}$
Question : Select the most appropriate option to fill in the blank. Nickel or brass can cause an allergic reaction when in __________with human skin.
Option 1: contact
Option 2: surface
Option 3: accordance
Option 4: parallel
Correct Answer: contact
Solution : The correct option is the first option.
Contact is when two things physically touch or come into contact with each other. In this context, it implies direct touching or interaction between nickel or brass and human skin, which can cause an allergic reaction.
The meanings
Question : Comprehension:
Read the passage and answer the questions that follow.
The drainage systems of India are mainly controlled by the broad relief features of the subcontinent. Accordingly, the Indian rivers are divided into two major groups: the Himalayan rivers; and the Peninsular rivers. Apart from originating from the two major physiographic regions of India, the Himalayan and the Peninsular rivers are different from each other in many ways. Most of the Himalayan rivers are perennial. It means that they have water throughout the year. These rivers receive water from rain as well as from melted snow from the lofty mountains. The major Himalayan rivers are the Indus, the Ganga, and the Brahmaputra. These rivers are long and are joined by many large and important tributaries. A river along with its tributaries may be called a river system. The two major Himalayan rivers, the Indus and the Brahmaputra originate from the north of the mountain ranges. They cut through the mountains making gorges in the upper course. The perennial Himalayan rivers have long courses from their source to the sea. They perform intensive erosional activity in their upper courses and carry huge loads of silt and sand with their swift current. In the middle and the lower courses, these rivers form meanders, oxbow lakes, levees, and many other depositional features in their floodplains as their speed slackens. They also have well-developed deltas. A large number of the Peninsular rivers like the Godavari, Kaveri, and Krishna are seasonal, as their flow is dependent on rainfall. During the dry season when it doesn’t rain, even the large rivers have reduced flow of water in their channels. The Peninsular rivers have shorter and shallower courses as compared to their Himalayan counterparts. However, some of them originate in the central highlands and flow towards the west. Most of the rivers of peninsular India originate in the Western Ghats and flow towards the Bay of Bengal.
Question:
The word ‘seasonal’ rivers in the passage means:
Option 1: rivers that never go dry in any season
Option 2: rivers whose flow is dependent upon rainfall
Option 3: rivers that change their course in every season
Option 4: rivers that flood in every season
Correct Answer: rivers whose flow is dependent upon rainfall
Solution : The second option is correct.
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g.13 – operations on 13 such as adding/subtracting/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.) (20, 6, 4) (24, 7, 5)
Option 1: (65, 9, 4)
Option 2: (22, 5, 2)
Option 3: (40, 8, 5)
Option 4: (42, 7, 3)
Correct Answer: (65, 9, 4)
Solution : Given: (20, 6, 4), (24, 7, 5)
Subtract the square of the third number from the second number and the result is equal to the first number – ⇒ (20, 6, 4)→62 – 42 = 36 – 16 = 12 ⇒
Question : The area of an isosceles trapezium is 176 cm2 and the height is $\frac{2}{11}$th of the sum of its parallel sides. If the ratio of the length of the parallel sides is 4 : 7, then the length of a diagonal (in cm) is:
Option 1: $28$
Option 2: $\sqrt{137}$
Option 3: $2\sqrt{137}$
Option 4: $24$
Correct Answer: $2\sqrt{137}$
Solution :
Let the lengths of the parallel sides of the isosceles trapezium be as $a$ and $b$ $(a < b)$, and the height as $h$. Given that the area of the trapezium is 176 cm2. $⇒A = \frac{1}{2} (a + b) h = 176
Question : Directions: Select the option that is related to the third word in the same way as the second word is related to the first word. (The words must be considered meaningful English words and must NOT be related to each other based on the number of letters/number of consonants/vowels in the word.) Socks : Feet :: Glares : ?
Option 1: Eyes
Option 2: Wrist
Option 3: Hand
Option 4: Knees
Correct Answer: Eyes
Solution : Given: Socks : Feet :: Glares : ?
The first term is an accessory and the second term is the part of the body where it is worn – Like in, Socks : Feet→Socks are worn on feet. Similarly, follow the same pattern for Glares
Question : Two trains running in opposite directions on parallel tracks, at speeds of 42 km/hr and 57 km/hr, take 18 seconds to cross each other. If the length of one train is 270 m, then the length of the other train is:
Option 1: 250 m
Option 2: 225 m
Option 3: 230 m
Option 4: 242 m
Correct Answer: 225 m
Solution : The relative speed of the two trains is the sum of their individual speeds, as they are moving in opposite directions. So, the relative speed = 42 km/hr + 57 km/hr = 99 km/hr We convert this speed into m/s multiplying by $\frac{5}{18}$. The
Question : Directions: In the following question a series is given, with two terms missing. Choose the correct alternative from the given ones that will complete the series. 24, 35, 20, 31, 16, 27, ?, ?
Option 1: 12, 23
Option 2: 5, 30
Option 3: 8, 25
Option 4: 9, 9
Correct Answer: 12, 23
Solution : Given: 24, 35, 20, 31, 16, 27, ?, ?
Subtract 4 from each alternative number to get the required missing number –
Therefore, the missing terms are 12 and 23. Hence, the first option is correct.
Question : Which of the following is a prime number?
Option 1: 54
Option 2: 42
Option 3: 68
Option 4: 89
Correct Answer: 89
Solution : As we know, prime numbers are numbers that have only two factors which are 1 and the number itself. Thus, there are 25 prime numbers between 1 and 100, i.e. 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47,
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