Joint Entrance Examination (Main)
Question : Directions: Which two numbers, from amongst the given options, should be interchanged to make the given equation correct? (6)³ ÷ 12 + [(√81) x 4] – (28 ÷ 2) + 24 = 43
Option 1: 12 and 24
Option 2: 6 and 24
Option 3: 81 and 4
Option 4: 28 and 24
Correct Answer: 12 and 24
Solution : Given: (6)³ ÷ 12 + [(√81) x 4] – (28 ÷ 2) + 24 = 43
Interchanging the numbers as given in the options – First option: 12 and 24 (6)³ ÷ 24 + [(√81) x 4] – (28 ÷ 2) + 12
Question : DEF is an isosceles triangle such that DE = DF = 60 cm and EF = 96 cm. DG is a median to base EF. What is the length of DG?
Option 1: 22 cm
Option 2: 36 cm
Option 3: 24 cm
Option 4: 32 cm
Correct Answer: 36 cm
Solution : Given: DE = DF = 60 cm, EF = 96 DG median cuts EF into two halves. So, EG = $\frac{96}{2}=48$ cm In $\triangle$DEG, DE2 = DG2 + EG2 ⇒ DG = $\sqrt{60^2-48^2}=\sqrt{1296}=36$ cm Hence, the correct answer is 36 cm.
Question : A person bought some pens at the rate of 14 for a rupee and sold them at the rate of 10 for a rupee. What is the profit percentage?
Option 1: 30%
Option 2: 50%
Option 3: 45%
Option 4: 40%
Correct Answer: 40%
Solution : Given: A person bought some pens at the rate of 14 for a rupee and sold them at the rate of 10 for a rupee. Profit percentage = $\frac{SP–CP}{CP}×100$, where SP is the selling price and CP is the cost price. = $\frac{14–10}{10}\times 100$ =
Question : Who among the following devoted his life to the upliftment of widows and established the Widow Remarriage Association in 1893?
Option 1: Dhondo Keshav Karve
Option 2: Annie Besant
Option 3: Keshab Chandra Sen
Option 4: Behramji Malabari
Correct Answer: Dhondo Keshav Karve
Solution : The correct answer is Dhondo Keshav Karve.
Dhondo Keshav Karve, a trailblazer in promoting women's empowerment in India, was a social reformer and educator. In 1893, he founded the Widow Marriage Association, advocating for the remarriage of widows.
Question : Which radioactive isotope has a half-life of 5770 years, commonly used to estimate the age of organic materials such as paper and parchment?
Option 1: 9C
Option 2: 12C
Option 3: 14C
Option 4: 17C
Correct Answer: 14C
Solution : The correct option is 14C.
Carbon-14 (C-14) has a half-life of approximately 5,770 years and is commonly used in radiocarbon dating to estimate the age of organic materials. Carbon-14 is used in radiocarbon dating because it undergoes radioactive decay, providing a reliable
Question : Directions: A graph showing the price of rice in India during the years 2000 to 2003 is given below. Study the graph carefully and answer the questions.
For the month of May, the graph shows that the price of rice was the lowest in the year:
Option 1: 2000
Option 2: 2001
Option 3: 2002
Option 4: 2003
Correct Answer: 2003
Solution : From the given graph, the price of rice is seen lowest in 2003. Hence, the answer is 2003.
Hi
You should aim for a percentile score of around 90-95 or higher. While the exact cutoff may vary each year based on factors like difficulty level and the number of candidates, historically, scoring in this range has generally qualified students for JEE Advanced.
Minimum Marks: While specific marks vary
Question : Identify the most appropriate ANTONYM of the underlined word in the given sentence. The game continued due to heavy rainfall after the pitch became completely wet.
Option 1: ongoing
Option 2: played
Option 3: stopped
Option 4: disregarded
Correct Answer: stopped
Solution : The right option is the third option.
Among the given words, stopped is the most suitable antonym for continued in the given sentence, as it directly opposes the idea of something persisting without interruption by indicating an end or cessation.
The meanings of the
Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".
We sat on the floor to eat dinner, and he (appreciate) the fresh food my mother served.
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 2
Solution : The sentence can be improved using the second option.
The word "appreciated" is the past form of the verb "appreciate" as it agrees with the tense of the sentence. To maintain parallelism in the sentence, the verb "sat" (past form) should be
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