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The ratio of the ages of Jaya and Divya is 3 : 5 and the age of one of them is greater than that of the other by 12 years. What will be the sum of their ages after 2 years?
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The correct answer is option 2 i.e. 52 years.
The difference between Jaya's age and Divya's age
= 12 years
Let Jaya's age = 3x
& the Divya's age = 5x
A/Q,
5x - 3x = 12
⇒ 2x = 12
⇒ x = 12/2 = 6
So, the present age of Jaya and Divya is 18 years and 30 years, respectively.
The sum of their age after 2 years will be
= 18 + 2 + 30 + 2
= 52 years
Three statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
All girls are women
Some women are engineers
Some engineers are boys
Conclusions:
I. Some girls are boys.
II. Some engineers can be girls.
The correct answer is option 2 i.e. Only conclusion II follows.
The least possible diagram would be
I. Some girls are boys. False (There is no definite relation between girls and boys so Some girls are boys It does not follow.)
II. Some engineers can be girls. True (This is a possible case and this possibility can be true because it does not affect any other relation and its possibility diagram would be like this:
So, only conclusion 2 follows.
Hence, the correct answer is Only conclusion II follows.
A series is given with one term missing. Choose the correct alternative from the given ones that will complete the series.
86, 76, 81, 71, 76, ?
The correct answer is option 4 i.e. 66.
The pattern followed here is,
86 - 10 = 76
76 + 5 = 81
81 - 10 = 71
71 + 5 = 76
76 - 10 = 66
Hence, the correct answer is 66.
Study the diagram carefully and answer the given question. The square represents girls, the circle represents tall persons, the triangle represents tennis players and the rectangle represents swimmers.
Which letter represents girls who are swimmers, play tennis but are not tall?
The correct answer is option 4 i.e. None of these.
Girls who are swimmers and play tennis are represented by the region common to the square, triangle and rectangle and no such region is given in the diagram which can represent only relationship of these three.
Hence, the correct answer is option 4.
Which amendment act provides for a Legislative Assembly and Council of Ministers for NCT of Delhi?
The correct answer is Option 2 i.e. 69th.
This legislation modifies the Government of the National Capital Territory of Delhi Act, 1991.
Following the enactment of the 69th Constitutional Amendment Act, 1991, the Union Territory of Delhi is renamed as the National Capital Territory, and the official appointed under Article 239 shall be titled as the Lieutenant Governor.
What per cent of solar energy is absorbed by the leaves of green plants during photosynthesis?
The correct answer is Option 1 i.e. 1.
Green plants absorb approximately 1% of the solar energy that reaches their leaves for photosynthesis.
The remaining 98 to 99% of solar energy, occurring at wavelengths unsuitable for photosynthesis, is reflected from leaves and other surfaces.
................colour has the maximum wavelength.
The correct answer is Option 3 i.e. Red
In C3 plants, what enzyme catalyzes the reaction between carbon dioxide and ribulose-1,5-bisphosphate (RuBP) during the Calvin cycle?
The correct answer is Option 1 i.e. Rubisco.
Identify the element that does NOT belong to Period 6 of the Modern Periodic Table.
The correct answer is option 1 i.e. Silicon.
Silicon (Si) does not belong to Period 6 of the Modern Periodic Table.
Explanation:
Period 6 in the periodic table comprises elements with atomic numbers ranging from 55 (Cesium, Cs) to 86 (Radon, Rn), including the lanthanide series. Silicon (Si), with an atomic number of 14, is situated in Period 3, not Period 6. It is a non-metal and a semiconductor that belongs to Group 14 (Carbon Group).
These elements have much higher atomic numbers compared to silicon and belong to a different period in the periodic table.
The correct answer is option 4 i.e. 1115.
1/x - 1/y = 11/24
⇒ (y - x)/xy = 11/24
⇒ -(x - y)/xy = 11/24
⇒ -11/xy = 11/24
⇒ xy = -24
⇒ x3 - y3 + x2y2 = (x - y)3 + 3xy (x - y) + (xy)2
⇒ (11)3 + 3(-24) × 11 + 576
⇒ 1331 - 792 + 576
⇒ 539 + 576 = 1115
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