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Question : If the measure of one angle of a right triangle is 30º more than the measure of the smallest angle, then the measure of the smallest angle is:
Option 1: 90º
Option 2: 60º
Option 3: 30º
Option 4: 75º
Correct Answer: 30º
Solution : Given: The measure of one angle of a right triangle is 30º more than the measure of the smallest angle. Let the smallest angle be $x$. So, the other angle = $(x+30°)$ According to the question, $x+(x+30°)+90°=180°$ ⇒ $2x=180°–120°$ ⇒ $x=\frac{60°}{2}$ ⇒ $x=30°$ Hence, the
Question : Select the most appropriate meaning of the given idiom.
To raise a dust
Option 1: To meet one's defeat
Option 2: To be satisfied with what you have achieved
Option 3: To be secretly or inwardly amused
Option 4: To cause disruption or confusion
Correct Answer: To cause disruption or confusion
Solution : The correct option is the fourth option.
Explanation: The idiom to raise a dust is figurative and does not refer to the literal act of raising dust particles. Instead, it is used metaphorically to signify causing disruption or confusion. The idiom
Question : In which of the following years did Rabindranath Tagore establish an experimental school at Santiniketan?
Option 1: 1924
Option 2: 1901
Option 3: 1912
Option 4: 1956
Correct Answer: 1901
Solution : The correct answer is 1901.
Rabindranath Tagore opened his school at Santiniketan on December 22, 1901, with five pupils—including his oldest son—and the same number of teachers. He gave it the original name Brahmacharya Ashram, following the custom of ancient forest hermits.
Question : In which year did the Central Statistical Office adopt the GVA concept in India?
Option 1: 2012
Option 2: 2015
Option 3: 1993
Option 4: 2010
Correct Answer: 2015
Solution : The correct option is - 2015
In order to more accurately estimate economic activity, the Central Statistics Office (CSO) abandoned GDP at factor cost in 2015 and switched to the global practice of GDP at market price and the Gross Value Addition (GVA) measure. An
Question : Avi alone can do a piece of work in 60 days while Prakash alone can do it in 80 days. In how many days will they finish it together?
Option 1: $\frac{250}{6}$ days
Option 2: $\frac{270}{6}$ days
Option 3: $\frac{240}{7}$ days
Option 4: $\frac{140}{6}$ days
Correct Answer: $\frac{240}{7}$ days
Solution : Let the amount of work be represented by the variable $W$. A can complete the work in 60 days. ⇒ A's work rate is $\frac{W}{60}$ per day. Prakash can complete the work in 80 days. ⇒ Prakash's work rate is $\frac{W}{80}$ per day. When
Question : A sum of Rs. 5,000 is divided into two parts such that the simple interest on the first part for $4 \frac{1}{5}$ years at $6 \frac{2}{3} \%$ p.a. is double the simple interest on the second part for $2 \frac{3}{4}$ years at 4% p.a. The ratio of the second part to the first part is:
Option 1: 11:14
Option 2: 11 : 13
Option 3: 14 : 11
Option 4: 13 : 11
Correct Answer: 14 : 11
Solution : Let the first part of the sum as $x$ and the second part as $5000 - x$. Given that the simple interest on the first part is double the simple interest on the second part. $x \times \frac{21}{5} \times \frac{20}{3} \% = 2
Question : NIN (National Institute of Nutrition ) Central Office is located at
Option 1: Hyderabad
Option 2: Mumbai
Option 3: Bengaluru
Option 4: Kolkata
Correct Answer: Hyderabad
Solution : The correct option is Hyderabad.
the National Institute of Nutrition (NIN) is an Indian research institute that is part of the Indian Council of Medical Research (ICMR). The central office of the National Institute of Nutrition is located in Hyderabad, Telangana, India.
Question : What is the volume of the largest sphere that can be carved out of a wooden cube of sides 21 cm?$\left(\pi=\frac{22}{7}\right)$
Option 1: 3851 cm3
Option 2: 6858 cm3
Option 3: 4851 cm3
Option 4: 5821 cm3
Correct Answer: 4851 cm3
Solution : The largest sphere that can be carved out of a cube of side 21 cm will have a diameter of 21 cm. So, the radius of the sphere, $r$ = $\frac{21}{2}$ cm Now the volume of the sphere = $\frac{4}{3}\pi r^3$ = $\frac{4}{3}×\frac{22}{7}×\frac{21}{2}×\frac{21}{2}×\frac{21}{2}$
Question : The 'Kannauj assembly' organised by Harsha was held in honour of
Option 1: Fa-Hien
Option 2: Itsing7
Option 3: Hieun-Tsang
Option 4: Megasthenes
Correct Answer: Hieun-Tsang
Solution : The correct option is - Hieun-Tsang
The Kannauj assembly organized by King Harshavardhana was held in honor of the Chinese Buddhist monk Hieun-Tsang. Hieun-Tsang was a renowned Buddhist scholar, traveler, and translator who journeyed to India in the 7th century CE during the Tang Dynasty
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following set. (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.) (26, 14, 170) (31, 7, 18)
Option 1: (11, 5, 17)
Option 2: (34, 10, 72)
Option 3: (21, 9, 60)
Option 4: (14, 6, 24)
Correct Answer: (21, 9, 60)
Solution : Given: (26, 14, 170); (31, 7, 18)
In the given sets, add the first and the third numbers. The resultant is the square of the second number. (26, 14, 170)→26 + 170 = 196; (14)2 = 196 (31, 7, 18)→31 + 18
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