Admission
Question : Which of the following statement(s) is/are TRUE? I. $\sqrt{11}+\sqrt7<\sqrt{10}+\sqrt8$ II. $\sqrt{17}+\sqrt{11}>\sqrt{15}+\sqrt{13}$
Option 1: Only I
Option 2: Only II
Option 3: Both I and II
Option 4: Neither I nor II
Correct Answer: Only I
Solution : Evaluating the given statements: I. $\sqrt{11}+\sqrt7<\sqrt{10}+\sqrt8$ Squaring both sides we get: ⇒ $(\sqrt{11}+\sqrt7)^2<(\sqrt{10}+\sqrt8)^2$ ⇒ $11+7+2\sqrt{77}<10+8+2\sqrt{80}$ ⇒ $18+2\sqrt{77}<18+2\sqrt{80}$ So, statement I is true. II. $\sqrt{17}+\sqrt{11}>\sqrt{15}+\sqrt{13}$ Squaring both sides we get: ⇒ $(\sqrt{17}+\sqrt{11})^2>(\sqrt{15}+\sqrt{13})^2$ ⇒ $17+11+2\sqrt{187}>15+13+2\sqrt{195}$ ⇒ $28+2\sqrt{187}>28+2\sqrt{195}$ So, statement II is wrong. Hence, the correct answer
Question : Direction: In this question, a word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in the two matrices, given below. The columns and rows of Matrix (I) are numbered from 0 to 4 and that of Matrix (II) are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g. G can be represented by 04,40, etc. and K can be represented by 56, 75, etc. Similarly, you have to identify the set for the word NICE.
Option 1: 66, 58, 33, 02
Option 2: 87, 65, 03, 24
Option 3: 66, 23, 68, 30
Option 4: 59, 68, 40, 02
Correct Answer: 66, 58, 33, 02
Solution : Given – NICE
Option first: 66, 58, 33, 02
NICE.
The first set represents the word NICE.
Option second: 87, 65, 03, 24
NIFC
Option third: 66, 23, 68, 30
NGKO
Option fourth: 59, 68, 40, 02
NKGE
Hence, first option is
Question : When Lead nitrate is heated, which of the following gases is produced?
Option 1: Nitrogen oxide
Option 2: Lead dioxide
Option 3: Nitrogen dioxide
Option 4: Lead oxide
Correct Answer: Nitrogen dioxide
Solution : The correct option is Nitrogen dioxide.
When Lead Nitrate (Pb(NO3)2) is heated, it undergoes thermal decomposition. The reaction can be represented as: Pb(NO3)2(s) → PbO(s) + NO2(g) + O2(g)
When Lead
Question : Directions: Select the option that is related to the third word in the same way as the second word is related to the first word. (The words must be considered meaningful English words and must not be related to each other based on the number of letters/number of consonants/vowels in the word.) India : Royal Bengal Tiger :: Australia : ?
Option 1: Horse
Option 2: Dragon
Option 3: Kangaroo
Option 4: Elephant
Correct Answer: Kangaroo
Solution : Given: India : Royal Bengal Tiger :: Australia : ?
Like, the national animal of India is the Royal Bengal Tiger. Similarly, the national animal of Australia is the Kangaroo.
Hence, the third option is correct.
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