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Question : If $14 : 30 :: 7 : x$, then what is the value of $x$?
Option 1: 15
Option 2: 21
Option 3: 9
Option 4: 12
Correct Answer: 15
Solution : $14 : 30 :: 7 : x$ ⇒ $\frac{14}{30}=\frac{7}{x}$ ⇒ $x = \frac{7\times 30}{14}$ ⇒ $x= 15$ Hence, the correct answer is 15.
Question : The perimeter of an isosceles triangle is 100 cm. If the base is 36 cm, find its semi-perimeter (in centimetres).
Option 1: 64 cm
Option 2: 60 cm
Option 3: 45 cm
Option 4: 50 cm
Correct Answer: 50 cm
Solution : Semi-perimeter of a triangle $= (\frac{\text{Perimeter}}{2})$ = $\frac{100}{2}$ = 50 cm Hence, the correct answer is 50 cm.
Question : The length, breadth, and height of a wooden box with a lid are 10 cm, 9 cm, and 7 cm, respectively. The total inner surface of the closed box is 262 cm2. The thickness of the wood (in cm) is:
Option 1: $2$
Option 2: $3$
Option 3: $\frac{23}{3}$
Option 4: $1$
Correct Answer: $1$
Solution : Given: Inner surface area = 262 cm2 The length, breadth, and height are 10 cm, 9 cm, and 7 cm, respectively. Let the thickness of the wood be $x$ cm. Surface area of the cuboid = 2(length × breadth + length × height +
Question : Which of the following statements are correct regarding the composition of the State Legislative Council as of December 2023? A. The maximum strength of the Council is fixed at one-third of the total strength of the Assembly. B. The minimum strength of the Council is fixed at 40. C. A total of 5/6 of the total number of members of a Legislative Council are indirectly elected and 1/6 members are nominated. D. The nominations (nominated members) made by the Governor can be challenged in the court.
Option 1: B, C and D only
Option 2: A, B and C only
Option 3: A, B, C and D
Option 4: A, B and D only
Correct Answer: A, B and C only
Solution : The correct answer is A, B and C only.
A state's Legislative Council may not have fewer than 40 members or more than one-third of the State Assembly's total membership, as stated in Article 171 of the Constitution. One-third or less
Question : Which of these Micro Finance Institutions (MFIs) are not regulated by the Reserve Bank of India (RBI)?
Option 1: Small finance bank-led MFIs
Option 2: Bank-led MFIs
Option 3: NBFC MFIs
Option 4: Non-profit MFIs
Correct Answer: Non-profit MFIs
Solution : The answer is Non-profit MFIs.
In general, microfinance institutions in India fall into three categories: mutual benefit, for-profit, and not-for-profit. Only non-banking financial businesses, or NBFC-MFIs, which are for-profit microfinance institutions, are subject to Reserve Bank of India (RBI) regulation.
Question : Directions: If 4 × 9 × 3 = 4 and 5 × 3 × 1 = 3, then 9 × 9 × 7 = ?
Option 1: 5
Option 2: 6
Option 3: 7
Option 4: 9
Correct Answer: 5
Solution : Given: 4 × 9 × 3 = 4, 5 × 3 × 1 = 3
The pattern in the equation→4 × 9 × 3 = 4 is 4 + 9 + 3 = 16 = 42 The pattern in the equation→
Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error.
He was unable / to help me because / he had been failed / to arrange the money.
Option 1: to help me because
Option 2: to arrange the money
Option 3: he had been failed
Option 4: he was unable
Correct Answer: he had been failed
Solution : The error lies in the third option.
The error is in the phrase he had been failed. The verb failed in this context should be used in its active form, not in the passive form with been. The correct
Question : When was the Gandhi Irwin Pact made ?
Option 1: 1935
Option 2: 1931
Option 3: 1929
Option 4: 1932
Correct Answer: 1931
Solution : The correct option is - 1931
The Gandhi-Irwin Pact, also known as the Delhi Pact, was signed on March 5, 1931. It was an agreement between Mahatma Gandhi and Lord Irwin, who was the Viceroy of India at the time. The pact marked a significant
Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2), and (3) that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).
In case of a natural calamity, the shortage of essential things must be overcome in a short time.
(1) commodities
(2) consignments
(3) material
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (1)
Solution : The sentence can be improved using the first option.
This option is the correct choice because "commodities" is a more precise and appropriate term for essential items or goods, especially when discussing overcoming shortages during a natural calamity. It is a suitable replacement that enhances
Question : Direction: In the following question, select the missing number from the given responses.
Option 1: 17
Option 2: 18
Option 3: 19
Option 4: 21
Correct Answer: 21
Solution : Given:
In the first column, 6 × 6 = 36 → 6 × 4 = 24 → 6 × 3 = 18
In the second column, 8 × 8 = 64 → 8
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