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Question : What is the greatest number which, on dividing 342 and 480, leaves remainders of 6 and 4 respectively?
Option 1: 14
Option 2: 4
Option 3: 7
Option 4: 28
Correct Answer: 28
Solution : The greatest number on dividing 342 and 480 leaves the remainder 6 and 4 respectively is the HCF of (342 - 6 = 336) and (480 - 4 = 476) 336 = 28 $\times$ 12 476 = 28 $\times$ 17 $\therefore$ HCF (333, 476) is
Question : What is the total number of factors of the number 840 except 1 and the number itself?
Option 1: 29
Option 2: 30
Option 3: 28
Option 4: 31
Correct Answer: 30
Solution : Given number = 840 We can write it as, $2^3×3×5×7$ Now, Total factors $=(3+1)×(1+1)×(1+1)×(1+1)=4×2×2×2=32$ ⇒ Total number of factors apart from 1 and 840 itself = 32 – 2 = 30 Hence, the correct answer is 30.
Question : While Magadha was a powerful Mahajanapada, Vajji, with its capital at Vaishali (Bihar), was under a different form of government known as:
Option 1: Samajwadi
Option 2: gana or sangha
Option 3: loktantra
Option 4: Panchayati
Correct Answer: gana or sangha
Solution : The correct option is gana or sangha.
Vaishali, in Bihar, served as the capital of the Vajji governmental system, which was referred to as "gana" or "sangha". The Vajji Mahajanapada has a distinct system of governance, distinguished by a republican framework. It
Question : If the length of a side of the square is equal to that of the diameter of a circle, then the ratio of the area of the square and that of the circle is:
Option 1: 14 : 11
Option 2: 7 : 11
Option 3: 11 : 14
Option 4: 11 : 7
Correct Answer: 14 : 11
Solution : Let the side of the square be $s$. $\therefore$ Area of this square = $s^2$ Diameter of the circle = $s$ So, the radius of the circle = $\frac{s}{2}$ Area of the circle = $\pi (\frac{s}{2})^2$ $\therefore$ Required ratio = $\frac{s^2}{\pi (\frac{s}{2})^2}=\frac{4\times 7}{22}=\frac{14}{11}$
Question : Refer to the following data table and answer the question.
What was the revenue of the company if its expenditure was Rs. 525 crore in the year when its % profit was the least?(In Rs.crore)
Option 1: 577.5
Option 2: 603.75
Option 3: 525
Option 4: 551.25
Correct Answer: 551.25
Solution : According to the given table, Profit was minimum in the year 2012 = 5% Expenditure = Rs. 525 crore Revenue = 105% of expenditure = $\frac{105}{100}×525$ = Rs. 551.25 crore Hence, the correct answer is 551.25.
Question : Sullage water is -
Option 1: waste water released from kitchen
Option 2: waste water released from toilets
Option 3: waste water released from factories
Option 4: waste water released from hospitals
Correct Answer: waste water released from kitchen
Solution : The correct oprtion is waste water released from kitchen.
Sullage water, commonly known as graywater or greywater, is wastewater produced by household activities that does not include human faeces or sewage. Water from bathing, showering, handwashing, laundry and kitchen sink use
Question : Which of the following shortcut keys is used to make the contents of a cell italic in MS Excel 365?
Option 1: Ctrl+4
Option 2: Ctrl+3
Option 3: Ctrl+6
Option 4: Ctrl+2
Correct Answer: Ctrl+3
Solution : The correct answer is Ctrl+3.
In Microsoft Excel 365, the following shortcut keys are used to make the contents of a cell italic: Ctrl+I or Ctrl+3. Simply select the cell or range of cells, the content of which is required to make italics and
Question : Which of the following controls the insurance business of India?
Option 1: RBI
Option 2: IDBI
Option 3: SEBI
Option 4: IRDAI
Correct Answer: IRDAI
Solution : The correct option is IRDAI.
The regulatory organization in charge of observing and controlling the insurance sector in India is the Insurance Regulatory and Development Authority of India (IRDAI). The protection of policyholder interests and the steady development of India's insurance industry are the responsibilities
Question : If $\sec 3\mathrm{A}=\operatorname{cosec}\left(\mathrm{A}-72^{\circ}\right)$, then what is the value of A ?
Option 1: 34.5°
Option 2: 30°
Option 3: 40.5°
Option 4: 25°
Correct Answer: 40.5°
Solution : $\sec 3A = \operatorname{cosec} (A - 72°)$ ⇒ $\sec 3A = \sec [90° - (A - 72°)]$ ⇒ $\sec 3A = \sec (162° - A)$ ⇒ $3A = 162° - A$ ⇒ $4A = 162°$ ⇒ $A = 40.5°$ Hence, the correct answer is 40.5°.
Question : The Arms Act which disallowed Indians from having arms was passed in ______.
Option 1: 1878
Option 2: 1925
Option 3: 1920
Option 4: 1855
Correct Answer: 1878
Solution : The correct answer is 1878.
In 1878, the British passed the Arms Act, which disallowed Indians from possessing any firearms. The Act was part of the broader colonial policies designed to maintain control and prevent potential uprisings or resistance against British rule. Lord
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