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Simplify : $${{{5 \over 3} \times {7 \over {51}}{\text{ of }}{{17} \over 5} - {1 \over 3}} \over {{2 \over 9} \times {5 \over 7}{\text{ of }}{{28} \over 5} - {2 \over 3}}}$$
The following sentences form a paragraph. The sentences are numbered as P, Q, R, S and T. These sentences are not given in their proper order. Read the sentences and out of the five alternatives,  choose the right option that correctly arranges the sentences in the correct sequence.  Though the speech as a whole is captivating and edifying, his saying “women are not meant for appeasing her near and dear ones, they have their individuality and identity and they themselves should be aware of this fact.”  In his speech, he stresses on education, health, women empowerment and child care.  Rightly this speech is gaining popularity and is spreading like a wildfire.  But the question remains whether the widespread circulation of this speech be equally complemented with its objective of comprehensive awareness.  In a speech uploaded in the internet, we see our school teacher Rambabu addressing the masses from a stage.
After introducing "reported speech" to grade 6 students, a teacher set up a pair activity: Student A takes a piece of direct speech from a book and conveys it to Student B in reported speech. Student B tries to guess what the direct speech would have been. Student A modifies his reported speech if needed, repeatedly, till Student B guesses correctly. The above activity MOST closely represents...
In the following question, there are six parts marked S1, S6, P, Q, R and S. The position of S1 and S6 are fixed. Some parts of the sentence have been jumbled up. Rearrange these parts and choose the proper sequence from the given options. (S1) I Have a Dream is a speech by Martin Luther King Jr. (P) And one of the most iconic speeches in American history (Q) Which was delivered on August 28, 1963, during the March in Washington (R) It became one of the defining moments of the civil rights movement (S) The theme of the speech was a call for equality and freedom (S6) Some 250,000 people gathered at the Lincoln Memorial in Washington, D.C., for the march in Washington.
In the following question, there are six parts marked S1, S6, P, Q, R and S.The position of S1 and S6 are fixed. Some parts of the sentence have been jumbled up. Rearrange these parts and choose the proper sequence from the given options. (S1) I Have a Dream is a speech by Martin Luther King, Jr. (P) And one of the most iconic speeches in American history (Q) Which was delivered on August 28, 1963, during the March in Washington (R) It became one of the defining moments of the civil rights movement (S) The theme of the speech was a call for equality and freedom (S6) Some 250,000 people gathered at the Lincoln Memorial in Washington, D.C., for the march in Washington.
Given below is a sentence which has been divided into four parts. The first part, which has been marked bold, is fixed in the sequence. The other three parts have been rearranged in the sequence and the four options give possible sequences of the three parts. Choose the option which gives the correct sequence of the rearranged parts. The state has received scanty rainfall/ which has also been explained as the cause of (A)/ floods in other parts of the country (B)/ and many people attribute this to climate change (C)
In the following question, the 1st and the last part of the sentence/passage are numbered 1 and 6. The rest of the sentence/ passage is split into four parts and named P, Q, R and S. These four parts are not given in their proper order. Read the sentence/passage and find out which of the four combinations is correct. 1. In 2015, the Government of India launched a massive campaign named "Digital India". P. The main aim was to improve access to technology to the people of the country. Q. The government worked on improving internet connectivity. R. It also made sure that it was easily accessible to the remote and rural parts of the country.  S. This was started to make the government services accessible in various parts of the country. 6. One of the initiatives included a plan to connect the rural parts of the country with high-speed internet.
In a motor of 120 machine parts, 5% parts were defective. In another motorof 80 machine parts, 10% parts were defective. For the two motors considered together,the percentage of defective machine parts were
The transfer function of a discrete time LTI system is given by
$$H\left( z \right) = {{2 - {3 \over 4}{z^{ - 1}}} \over {1 - {3 \over 4}{z^{ - 1}} + {1 \over 8}{z^{ - 2}}}}$$
Consider the following statements:
S1 : The system is stable and causal for
$$ROC:\left| z \right| > {1 \over 2}$$
S2 : The system is stable but not causal for
$$ROC:\left| z \right| S3 : The system is neither stable nor causal for
$$ROC:{1 \over 4} Which one of the following statements is valid?
A charged particle q moving with a velocity \(\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\rightharpoonup$}} \over v} \) in a magnetic field \(\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\rightharpoonup$}} \over B} \) experiences a force given by \(\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\rightharpoonup$}} \over F} = q\left( {\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\rightharpoonup$}} \over v} \times \mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\rightharpoonup$}} \over B} } \right).\) What is the work done by the force during a displacement \(\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\rightharpoonup$}} \over{\Delta r}}\) of the charged particle?