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Question :
Direction: In the following question you have to identify the correct response from the given premises stated according to the following symbols:
If '+' means '×', '–' means '÷', '×' means '–', and '÷' means '+', then what will be the value of 16 ÷ 64 – 8 × 4 + 2 ?
Option 1: 18
Option 2: 24
Option 3: 16
Option 4: 12
Correct Answer: 16
Solution : Given:
'+' means '×'
'–' means '÷'
'×' means '–'
'÷' means '+'
16 ÷ 64 – 8 × 4 + 2 = ?
Now, replacing the symbols as per the code language given in the question, we get –
16 + 64 ÷ 8
Question : The average score in an English exam of a class of 45 students in a coaching centre is 52. A group of 6 boys having an average score of 40 leave the class and another group of eight boys having an average score of 43 join the class. What is the new average score of the class?
Option 1: 48
Option 2: 53
Option 3: 49.5
Option 4: 52
Correct Answer: 52
Solution : We know, Average = $\frac{\text{Sum of all the scores of the students}}{\text{No. of students}}$ The sum of the scores of all 45 students = Average × No. of students = 52 × 45 = 2340 Now, A group of 6 boys leaving the class, the
Question : Mahavir Jayanti is an important festival of the _________.
Option 1: Jains
Option 2: Sikhs
Option 3: Buddhists
Option 4: Parsis
Correct Answer: Jains
Solution : The correct answer is Jains.
Mahavir Jayanti is an important festival for the Jain community. It commemorates the birth of Lord Mahavir, the 24th Tirthankara and a key figure in Jainism, believed to have been born in the 6th century BCE. The day is
Question : In $\triangle ABC$, right angled at B, if $\tan A=\frac{1}{2}$, then the value of $\frac{\sin A(\cos C+\cos A)}{\cos C(\sin C-\sin A)}$ is:
Option 1: $2$
Option 2: $1$
Option 3: $3$
Option 4: $2\sqrt5$
Correct Answer: $3$
Solution : $\tan A=\frac{1}{2}$ $⇒\frac{BC}{AB}=\frac{1}{2}$ Let $BC=x$ units, then $AB=2x$ units Using Pythagoras theorem, $⇒AC^2=AB^2+BC^2$ $⇒AC^2=x^2+(2x)^2$ $⇒AC^2=5x^2$ $⇒AC =x\sqrt5 $ units Now, we have $\triangle ABC$ right-angled at B, with $\tan A=\frac{1}{2}$, and we've found that $BC=x$, $AB=2x$, and $AC=x\sqrt{5}$. $⇒\sin A = \frac{BC}{AC} = \frac{x}{x\sqrt{5}} =
Question : What is the difference between a single discount of 35% on INR 700 and two successive discounts of 18% and 12% on the same amount (correct to two places of decimals)?
Option 1: INR 51.20
Option 2: INR 50.12
Option 3: INR 52.10
Option 4: INR 49.80
Correct Answer: INR 50.12
Solution : First discount = 35% of 700 Successive discounts = 18% and 12% Effective discount = $18+12-\frac{18×12}{100}= 30-2.16 = 27.84$% Second discount = 27.84% of 700 Required difference = (35 – 27.84)% of 700 = 7.16% of 700 = 0.0716 × 700 = 50.12 Hence,
Question : Directions: In the following question, select the related word from the given alternatives. Intelligent : Dumb :: Inflate : ?
Option 1: Raise
Option 2: Deflate
Option 3: Degrade
Option 4: Aerated
Correct Answer: Deflate
Solution : Given: Intelligent : Dumb :: Inflate : ?
Intelligent and dumb are antonyms. Similarly, inflate and deflate are antonyms.
Hence, the second option is correct.
Question : Directions: Study the following bar graph carefully and answer the question.
Total enrolments in both State University and Central University during the years 1980, 1990, and 2000 are:
Option 1: 80,000
Option 2: 66,000
Option 3: 70,000
Option 4: 76,000
Correct Answer: 70,000
Solution : As per the given graph: The number of students enrolled at State and Central Universities in 1980 = 8000 + 10000 = 18000 The number of students enrolled at State and Central Universities in 1990 = 14000 + 12000 = 26000 The number of students
Question : The wind vane instrument measures the _______.
Option 1: relative humidity
Option 2: temperature
Option 3: wind velocity
Option 4: wind direction
Correct Answer: wind direction
Solution : The correct answer is wind direction.
The wind vane instrument measures the direction of the wind. It is a simple and common meteorological tool used to determine the wind's compass direction. The instrument typically consists of a vane or arrow that aligns itself
Question : The President of which of the following countries was invited as the Chief Guest for the Republic Day parade on 26 January 2020?
Option 1: New Zealand
Option 2: Australia
Option 3: Brazil
Option 4: Indonesia
Correct Answer: Brazil
Solution : The correct option is Brazil.
The President of Brazil, Jair Bolsonaro, was invited as the Chief Guest for the Republic Day parade on January 26, 2020. His invitation reflected various geopolitical considerations and aimed to strengthen India's ties with Brazil in areas like trade,
Question : In a circle, a diameter AB and a chord PQ (which is not a diameter) intersect each other at X perpendicularly. If AX : BX = 3 : 2 and the radius of the circle is 5 cm, then the length of the chord PQ is:
Option 1: $2\sqrt{13}\;\mathrm{cm}$
Option 2: $5\sqrt{3}\;\mathrm{cm}$
Option 3: $4\sqrt{6}\;\mathrm{cm}$
Option 4: $6\sqrt{5}\;\mathrm{cm}$
Correct Answer: $4\sqrt{6}\;\mathrm{cm}$
Solution :
We have, $\mathrm{AX:BX = 3:2}$ and the radius of the circle is $5\;\mathrm{cm}$. $\mathrm{AX=\frac{3}{5} \times 10 = 6}\;\mathrm{cm}$ $\mathrm{BX=\frac{2}{5} \times 10 = 4}\;\mathrm{cm}$ We know the theorem states that the two chords of a circle intersect within the circle, the product of the segments of
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