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Question : Trinitrotoluene is
Option 1: Used to melt metals
Option 2: Used to fuse two metals
Option 3: Used as an abrasive
Option 4: Used as an explosive
Correct Answer: Used as an explosive
Solution : The correct answer is Used as an explosive.
Trinitrotoluene (TNT) is a type of explosive. It is a highly explosive chemical that has found widespread use in military, industrial, and mining applications. The presence of three nitro groups (-NO2) connected
Question : In a right-angled triangle $\mathrm{XYZ}$, if $\mathrm{X}=60^{\circ}$ and $\mathrm{Y}=30^{\circ}$, then find the value of $\sin (\mathrm{X}-\mathrm{Y})$.
Option 1: $\frac{3}{5}$
Option 2: $\frac{1}{2}$
Option 3: $\frac{3}{4}$
Option 4: $\frac{2}{3}$
Correct Answer: $\frac{1}{2}$
Solution : Given: $\mathrm{X}=60^{\circ}$ and $\mathrm{Y}=30^{\circ}$ Then, $\sin (\mathrm{X}-\mathrm{Y})$ = $\sin(60-30)^{\circ}$ = $\sin 30^{\circ}$ = $\frac{1}2$ Hence, the correct answer is $\frac{1}2$.
Question : $\overline{\mathrm{CT}}$ is a tangent to a circle at the point $\mathrm{T}$ on the circle. Chord $\overline{\mathrm{AB}}$ of the circle is extended to meet the tangent $\overline{\mathrm{CT}}$ at the point $\mathrm{C}$. If $\mathrm{m}(\overline{\mathrm{AB}})=3 \mathrm{~cm}$ and $\mathrm{m}(\overline{\mathrm{BC}})=2.4 \mathrm{~cm}$, find the length (in $\mathrm{cm}$ ) of the tangent $\overline{\mathrm{CT}}$.
Option 1: 4.2
Option 2: 3.6
Option 3: 3.2
Option 4: 4.0
Correct Answer: 3.6
Solution : AC = 1.5 + 1.5 + 2.4 = 5.4 cm According to the chord tangent theorem, $TC^2=AC\times BC$ ⇒ $TC^2=5.4\times 2.4$ ⇒ $TC^2=12.96$ ⇒ $TC=\sqrt{12.96}$ ⇒ $TC=3.6$ cm Hence, the correct answer is 3.6 cm.
Question : Three Science classes A, B, and C take a Life Science test. The average score for class A is 83. The average score for class B is 76. The average score in class C is 85. The average score of classes A and B is 79, and the average score of classes B and C is 81. Then the average score of classes A, B, and C is:
Option 1: 81.5
Option 2: 81
Option 3: 80.5
Option 4: 80
Correct Answer: 81.5
Solution : The average score of classes A, B, and C are 83, 76, and 85 respectively. The average score of class A and class B = 79 The average score of class B and class C = 81 Let the number of students in classes A,
Question : The difference between compound interest and simple interest on an amount of Rs. 14,400 for 2 years is Rs. 3600. Find the rate of interest.
Option 1: 30%
Option 2: 35%
Option 3: 10%
Option 4: 50%
Correct Answer: 50%
Solution : Let the rate of interest be $r$. Principal, $P$ = Rs. 14,400 Time = 2 years Difference between Simple interest and compound interest $=P(\frac{r}{100})^2$ ⇒ $3600 = 14400(\frac{r}{100})^2$ ⇒ $(\frac{r}{100})^2=\frac{36}{144}$ ⇒ $(\frac{r}{100})^2=(\frac{6}{12})^2$ ⇒ $\frac{r}{100}=\frac{6}{12}$ $\therefore r=50\%$ Hence, the correct answer is 50%.
Question : Select the wrongly spelt word.
Option 1: Declivity
Option 2: Decorous
Option 3: Cosmopolitan
Option 4: Copous
Correct Answer: Copous
Solution : The correct choice is the fourth option.
The wrongly spelt word is "Copous". The correct spelling of the word meaning abundant or plentiful is "copious". The incorrect spelling contains a spelling mistake by omitting the vowel "i" before "o".
Question : In 2018, Google Doodle celebrated the 100th birthday of Mrinalini Sarabhai. She is an exponent of which of the following dance forms?
Option 1: Bharalanatyam and Kathakali
Option 2: Odissi and Kathak
Option 3: Kuchipudi and Bharatanatyam
Option 4: Yakshagana
Correct Answer: Bharalanatyam and Kathakali
Solution : The correct answer is -Bharalanatyam and Kathakali
Mrinalini Sarabhai's 100th birthday was commemorated in 2018 by a Google Doodle. A well-known figure in Indian classical dance was Mrinalini Sarabhai. In addition to being a skilled dancer in Kathakali and Bharatanatyam, she was
Question : Directions: FJMN is related to LPST in a certain way based on a certain relationship between the given letters in the English alphabetical order. In the same way, ADEL is related to GJKR. Which of the given options is DMJN related to following the same logic?
Option 1: LPTQ
Option 2: JSPT
Option 3: TJMK
Option 4: SJJP
Correct Answer: JSPT
Solution : Given: FJMN is related to LPST and ADEL is related to GJKR.
Add 6 to the place value of each letter of FJMN, and ADEL, to obtain the related letter clusters – FJMN→F + 6 = L; J + 6 = P; M + 6
Question : Directions: In a certain code language, ASK is written as 62 and BYE is written as 64. How will CRY be written in that language?
Option 1: 68
Option 2: 72
Option 3: 86
Option 4: 92
Correct Answer: 92
Solution : Given: ASK is coded as 62 and BYE is coded as 64.
Multiply the sum of the position values of the letters of the word ASK by 2 to get the required code – A→1; S→19; K→11 ⇒ (1 + 19 + 11) × 2
Question : 14 people can do work in 28 days. In how many days, can 8 people complete double the work?
Option 1: 55 days
Option 2: 98 days
Option 3: 80 days
Option 4: 32 days
Correct Answer: 98 days
Solution : Let the total work = 14 × 28 = 392 units Time taken by 8 people to do the double work = $\frac{2×392}{8}$ = 2 × 49 = 98 days Hence, the correct answer is 98 days.
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