Read the statement below along with two conclusions.
Statement: Naina asks for a pen from Mahi.
Conclusions:
I. Naina doesn’t have a pen.
II. Naina wants to write something.
Which conclusion(s) follow(s) the given statement?
Both the conclusions follow
Conclusion I alone follows
Neither I nor II follows
Conclusion II alone follows
This is a question on logical deduction. We need to analyze the given statement and determine which of the conclusions can be logically inferred from it, without making any external assumptions.
Correct Option: A) Both the conclusions follow
The question asks to identify the mobile application launched by the Ministry of Commerce and Industry to assist exporters and importers in India. This is a factual question related to government initiatives and digital tools for trade facilitation.
Correct Option: C) Niryat Mitra is the mobile application launched by the Directorate General of Foreign Trade (DGFT), under the Ministry of Commerce and Industry, to provide information to exporters and importers. It offers details on foreign trade policy, tariff lines, export incentives, and other relevant information to facilitate trade.
This problem involves setting up and solving a system of linear equations based on the given age relationships at different points in time. We will define variables for Akash's and his father's current ages and then translate the conditions into equations to find their current ages, and subsequently Akash's age next year.
Define variables:
Let Akash's current age be \(A\) years.
Let his father's current age be \(F\) years.
Formulate the first equation (a year ago):
A year ago, Akash's age was \(A-1\).
A year ago, his father's age was \(F-1\).
According to the problem, a year ago, his father's age was 9 times that of Akash.
\[ F-1 = 9(A-1) \]\[ F-1 = 9A - 9 \]\[ F = 9A - 8 \quad \text{(Equation 1)} \]Formulate the second equation (after 3 years):
After 3 years, Akash's age will be \(A+3\).
After 3 years, his father's age will be \(F+3\).
According to the problem, after 3 years, his father's age will be 5 times that of his age.
\[ F+3 = 5(A+3) \]\[ F+3 = 5A + 15 \]\[ F = 5A + 12 \quad \text{(Equation 2)} \]Solve the system of equations:
Now we have two expressions for \(F\). We can set them equal to each other:
\[ 9A - 8 = 5A + 12 \]Solve for Akash's current age (\(A\)):
Subtract \(5A\) from both sides:
\[ 4A - 8 = 12 \]Add 8 to both sides:
\[ 4A = 20 \]Divide by 4:
\[ A = \frac{20}{4} \]\[ A = 5 \]So, Akash's current age is 5 years.
Calculate Akash's age next year:
Akash's age next year will be his current age plus 1.
\[ \text{Akash's age next year} = A + 1 = 5 + 1 = 6 \text{ years} \]D) 6 years. Based on our calculations, Akash will be 6 years old next year.
How many triangles are there in the following figure?
To determine the number of triangles in the given figure, we need to systematically count all possible triangles formed by the intersecting lines. This includes small triangles, medium triangles, and large triangles formed by combining smaller ones.
Correct Option: D) 17
The question asks to identify which type of mutation is NOT hereditary. Hereditary mutations are those that can be passed down from parents to offspring. We need to understand the nature of different mutation types to determine which one does not fit this criterion.
Correct Option: C) Somatic mutation is NOT hereditary.
To determine which number is NOT a perfect square, we can use the property that perfect squares cannot end with certain digits (2, 3, 7, 8) and that the number of zeros at the end of a perfect square must be even. For numbers ending in 0, the number formed by its non-zero digits must also be a perfect square. We will examine each option based on these properties or by finding its square root.
Based on the analysis, 1250 is the only number that is not a perfect square.
A) 1250 is not a perfect square because it ends with a single zero. For a number to be a perfect square and end in zero, it must end with an even number of zeros, and the number formed by its non-zero digits must also be a perfect square. 1250 has one zero, and 125 is not a perfect square.
Select the option figure that will complete the series of question figures.
Question Figure:
Answer Figures:
The problem involves identifying the pattern in a series of figures and selecting the option that logically completes the sequence. Each figure contains a triangle with different orientations and positions of the 'TM' and smiley face symbols.
Correct Option: B) The figure with a rightward-pointing triangle and 'TM' above, smiley face below, matches the expected pattern.
The question asks to identify the Indian contestant who won the Miss Teen Universe 2017 title. This is a factual recall question related to current affairs or general knowledge about beauty pageants.
In 2017, Srishti Kaur from India was crowned Miss Teen Universe. The event took place in Managua, the capital of Nicaragua.
D) Srishti Kaur — Srishti Kaur won the Miss Teen Universe 2017 title, becoming the first Indian to achieve this feat. She was crowned at the event held in Managua, Nicaragua.
The question asks to identify where voluntary muscles are found. Voluntary muscles are those that can be controlled consciously, meaning we can decide when and how to move them. This contrasts with involuntary muscles, which operate without conscious thought.
Correct Option: B) hind limb. The muscles in the hind limb (e.g., leg muscles) are skeletal muscles, which are voluntary, meaning their movement can be consciously controlled.
The problem presents a sequence of numbers, and we need to identify the pattern to find the next term. Each number in the sequence appears to be a concatenation of multiples of a specific number.
Correct Option: C) 918273645