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Question : The least number, which when divided by 5, 6, 7 and 8 leaves a remainder of 3, but when divided by 9, leaves no remainder, is:
Option 1: 1677
Option 2: 1683
Option 3: 2523
Option 4: 3363
Correct Answer: 1683
Solution : The LCM of 5, 6, 7, and 8 is 840. If 3 is added to 840 it becomes 843, which, when divided by 5, 6, 7, and 8, leaves the remainder of 3. 843 is not completely divisible by 9 and hence, we will take
Question : In which state of India did the Kuchipudi dance originate?
Option 1: Gujarat
Option 2: Maharashtra
Option 3: Karnataka
Option 4: Andhra Pradesh
Correct Answer: Andhra Pradesh
Solution : The correct answer is Andhra Pradesh.
One of the most important Indian traditional dances is Kuchipudi. Its place of origin is the Indian state of Andhra Pradesh, specifically the village of Kuchipudi. Kuchipudi is a dance-drama performance that has its origins in the
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 4, 11, 21, 37, 62, 99, 151, ?
Option 1: 255
Option 2: 211
Option 3: 215
Option 4: 221
Correct Answer: 221
Solution : Given: 4, 11, 21, 37, 62, 99, 151, ?
Here, the pattern followed is as follows –
So, the missing number in the series is 221. Hence, the fourth option is correct.
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
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