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Question : ABCD is a cyclic trapezium whose sides AD and BC are parallel to each other. If $\angle$ABC = $75^{\circ}$, then the measure of $\angle$BCD is:
Option 1: $75^{\circ}$
Option 2: $95^{\circ}$
Option 3: $45^{\circ}$
Option 4: $105^{\circ}$
Correct Answer: $75^{\circ}$
Solution : ABCD is a cyclic trapezium, The two pairs of adjacent angles in a cyclic trapezium are equal in measure. So, $\angle$ABC = $\angle$BCD = $75^{\circ}$. Hence, the correct answer is $75^{\circ}$.
Question : The process of arranging data in a logical sequence is called:
Option 1: Classifying
Option 2: Reproducing
Option 3: Summarising
Option 4: Sorting
Correct Answer: Sorting
Solution : The correct answer is Sorting.
Sorting is the process of organising data in a logical order. Rearranging a group of items in a sequence to put them in a logical order is the process of sorting. In both commercial data processing and contemporary scientific
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 as meaningful English words and must not be related to each other based on the number of letters/consonants/vowels in the word.) Tortoise : Hatchling :: Rabbit : ?
Option 1: Shoat
Option 2: Kitten
Option 3: Piglet
Option 4: Calf
Correct Answer: Kitten
Solution : Given: Tortoise : Hatchling :: Rabbit : ?
Like, a baby tortoise is called a hatchling. Similarly, a baby rabbit is called a kitten.
Hence, the second option is correct.
Question : Directions: In the following question, find the odd letter from the given alternatives.
Option 1: BDGK
Option 2: JLOS
Option 3: NPSW
Option 4: MORU
Correct Answer: MORU
Solution : Let's check the options – First option: BDGK; B + 2 = D; D + 3 = G; G + 4 = K Second option: JLOS; J + 2 = L; L + 3 = O; O + 4 = S Third option: NPSW; N
Question : At what rate of simple interest per annum will a sum of money triple itself in 16 years?
Option 1: 11.5%
Option 2: 11%
Option 3: 12%
Option 4: 12.5%
Correct Answer: 12.5%
Solution : Let the rate of interest per annum be $r$. Let $P$ be the principal amount invested. Time of investment, $t$ = 16 years If P amount of money triples itself in 16 years, then interest gained $= 3P - P = 2P$ Simple Interest =
Question : Tsomgo Lake is a glacial lake located in which of the following states?
Option 1: Meghalaya
Option 2: Punjab
Option 3: Sikkim
Option 4: Gujarat
Correct Answer: Sikkim
Solution : The correct option is Sikkim.
Tsomgo Lake, sometimes referred to as Changu Lake, is found in the state of Sikkim. Located in the eastern Himalayas, Sikkim is a state in northeastern India. Tsomgo Lake is a glacier lake situated at an elevation of approximately 12,313
Question : The sum of three consecutive natural numbers divisible by 3 is 45. The smallest number is:
Option 1: 18
Option 2: 3
Option 3: 12
Option 4: 9
Correct Answer: 12
Solution : Let the three consecutive numbers divisible by 3 be (x – 3), x, and (x + 3). According to the question, (x – 3) + x + (x + 3) = 45 ⇒ 3x = 45 ⇒ 3x = 45 ⇒ x = $\frac{45}{3}$ =
Question : The question below consists of a set of labeled sentences. Out of the four options given, select the most logical order of the sentences to form a coherent paragraph.
P. The demand for fish has increased. Q. However, adequate fish is not available in the lake. R. This is mainly because the migratory fish from Chindwin-Irrawaddy river system to Manipur river system have declined steadily after the barrage came up. S. At least two lakh people are directly dependent on the lake for fishing.
Option 1: SPQR
Option 2: RPSQ
Option 3: QRPS
Option 4: RQSP
Correct Answer: SPQR
Solution : The correct solution is the first option.
Explanation:
Sentence S: This sentence sets the stage by providing the context that at least two lakh people are directly dependent on the lake for fishing.
Sentence P: Following the introduction, this sentence explains that the demand for
Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error.
She watched / the thief who / steal the purse / in the bus.
Option 1: the thief who
Option 2: in the bus
Option 3: steal the purse
Option 4: She watched
Correct Answer: steal the purse
Solution : The error lies in the third option.
The error lies in the tense agreement between "watched" (past tense) and "steal" (present tense). In a grammatically correct sentence, the verbs should be in the same tense when they refer to actions happening
Question : Directions: Select the number from among the given options that can replace the question mark (?) in the following series. 48, 75, 108, ?, 192
Option 1: 153
Option 2: 147
Option 3: 112
Option 4: 126
Correct Answer: 147
Solution : Given: 48, 75, 108, ?, 192
Here, the pattern followed is as follows –
So, 147 is the missing term in the series. Hence, the second option is correct.
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