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Question : Directions: How many triangles are there in the given figure?
Option 1: 22
Option 2: 21
Option 3: 16
Option 4: 24
Correct Answer: 22
Solution : The given figure can be labelled as shown below –
In the above-labelled figure, there are a total of 22 triangles. They are AKM, ADH, HNM, HEA, HNO, HEF, HMO, HAF, FOP, FHI, FPQ, FIJ, FOQ, FHJ, JRQ, JGF, JRS, JGB, JQS, JFB, BSL, BJC.
Question : The Finance Commission:
Option 1: draws up five-year plans
Option 2: formulates monetary policy
Option 3: recommends pay revision of central government employees
Option 4: adjudicates on the sharing of resources between the centre and states
Correct Answer: recommends pay revision of central government employees
Solution : The correct option is to recommend pay revision for central government employees.
A constitutional authority in India called the Finance Commission is in charge of advising how tax income should be split between the Union and state governments.
Question : In which of the following states in Jog Falls located?
Option 1: Orissa
Option 2: Kerela
Option 3: Andhra Pradesh
Option 4: Karnataka
Correct Answer: Karnataka
Solution : The correct option is - Karnataka
In the Shimoga district of Karnataka's Western Ghats, Jog Falls is a waterfall on the Sharavathi River. It is India's second-highest plunge waterfall. It is a segmented waterfall that changes its form depending on the time of year and
Question : Which among the following is India’s first indigenously developed COVID-19 vaccine?
Option 1: Sputnik V
Option 2: Covishield
Option 3: COVAXIN
Option 4: Novavax
Correct Answer: COVAXIN
Solution : The correct option is COVAXIN.
India's first indigenously developed COVID-19 vaccine is Covaxin. It was developed by Bharat Biotech in collaboration with the Indian Council of Medical Research (ICMR) and the National Institute of Virology (NIV). Covaxin received emergency use authorisation in India and played
Question : Directions: Which of the following pieces will fit in the figure given below?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Because there is no restriction on the rotation of the figure, we will check all possible orientations of the option figures to determine which one may fit in the question figure. By comparison of all the option figures, only the fourth option figure is embedded in
Question : What is the ratio of the mean proportional between 1.6 and 3.6 and the third proportional of 5 and 8?
Option 1: 2 : 15
Option 2: 5 : 16
Option 3: 3 : 16
Option 4: 4 : 15
Correct Answer: 3 : 16
Solution : Mean proportion of 1.6 and 3.6 $=\sqrt{ab}=\sqrt{1.6\times 3.6}=2.4$ Now, the third proportion of 5 and 8 $=\frac{b^2}{a}=\frac{8^2}{5}=\frac{64}{5}$ $\therefore$ Ratio of mean proportion to third proportion = $2.4:\frac{64}{5}$ = 12 : 64 = 3 : 16 Hence, the correct answer is 3 : 16.
Question : 42 boys can complete a piece of work in 20 days working 8 hours per day. In how many days can 14 boys complete the same work, each boy working 12 hours per day?
Option 1: 39 days
Option 2: 40 days
Option 3: 41 days
Option 4: 42 days
Correct Answer: 40 days
Solution : Let the number of days be $D$ for 14 boys working 12 hours per day. Use the formula: $M_1D_1H_1= M_2D_2H_2$ Where $M_1$ and $M_2$ are persons, $D_1$ and $D_2$ are days and $H_1, H_2$ are hours per day. ⇒ 42 × 20 × 8
Question : The length of a rope, by which a calf is tied, is decreased from 9 m to 5 m. Find the decrease in the area that can be grazed by the calf. [Use $\pi=\frac{22}{7}$]
Option 1: 112 m2
Option 2: 154 m2
Option 3: 122 m2
Option 4: 176 m2
Correct Answer: 176 m2
Solution : Given: Original length of rope = 9 m The new length of rope = 5 m (Length of rope taken as the radius of the circle) So, Old area = $\pi (9^{2}) = 81\pi $ New area = $\pi (5^{2}) = 25\pi $
Question : DE is tangent to the circumcircle of $\triangle$ABC at the vertex A such that $DE \parallel BC$. If AB = 17 cm, then the length of AC is equal to:
Option 1: 16 cm
Option 2: 16.8 cm
Option 3: 17.3 cm
Option 4: 17 cm
Correct Answer: 17 cm
Solution : Given: DE || BC and AB = 17 cm. From the alternate segment theorem, we get $\angle$DAB = $\angle$ACB Also, $\angle$DAB = $\angle$ABC (Alternate angle) So, $\angle$ACB = $\angle$ABC ⇒ AB = AC = 17 cm Hence, the correct answer is 17 cm.
Question : Directions: Six regular hexagons of side 5 cm are joined together to form the figure given below. What is the perimeter of the figure?
Option 1: 210
Option 2: 180
Option 3: 120
Option 4: 240
Correct Answer: 120
Solution : Given: The side of a regular hexagon is 5cm.
The perimeter of a given figure(P) = (Total length of the external boundary) + (Total length of the internal boundary) P = (AB + BC + CD + DE + EF + FG + GH +
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