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Question : Direction: Select the missing number from the given responses.
Option 1: 14
Option 2: 16
Option 3: 21
Option 4: 22
Correct Answer: 16
Solution : Given:
The middle number in a row is the product of the first number and the square root of the third number.
In row 1, the square root of 4 = 2 and 14 = 7
Question : Directions: Select the correct mirror image of the given figure when the mirror is placed at MN as shown.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection. Here, according to the information provided, the mirror is placed on the right side of the figure (on line MN). So, the left side of the reflected image will appear
Question : In the following graph, the production of Raggi in 4 consecutive years is plotted. In which year the production of Raggi is maximum?
Option 1: 2020
Option 2: 2017
Option 3: 2019
Option 4: 2018
Correct Answer: 2018
Solution : From the graph, it is clear that the year 2018 has the maximum Raggi production of 4500. Hence, the correct answer is 2018.
Question : G is the centroid of the equilateral triangle ABC. If AB = 10 cm, then the length of AG (in cm) is:
Option 1: $\frac{5 \sqrt3}{3}$
Option 2: $\frac{10 \sqrt3}{3}$
Option 3: $5 \sqrt3$
Option 4: $10\sqrt 3$
Correct Answer: $\frac{10 \sqrt3}{3}$
Solution : AB = 10cm Since AD is the perpendicular bisector of BC, ⇒ BD = 5cm and $\angle$ADB = 90° ⇒ AD = $\sqrt{\text{AB}^{2}-\text{BD}^{2}}$ = $\sqrt{10^{2}-5^{2}}$ = $\sqrt{75}$ = $5\sqrt{3}$ cm Since G is the centroid, AG : GD = 2 : 1 ⇒ AG
Question : If $(\sin \theta+\operatorname{cosec} \theta)^2+(\cos \theta+\sec \theta)^2=k+\tan ^2 \theta+\cot ^2 \theta$, then the value of $k$ is equal to:
Option 1: 7
Option 2: 2
Option 3: 5
Option 4: 9
Correct Answer: 7
Solution : Given: $(\sin \theta+\operatorname{cosec} \theta)^2+(\cos \theta+\sec \theta)^2=k+\tan ^2 \theta+\cot ^2 \theta$ ⇒ $\sin^{2}θ + 2\sinθ\operatorname{cosec}θ + \operatorname{cosec}^{2}θ +\cos^{2}θ + 2\cos θ \secθ + \sec^{2}θ=k+\tan ^2 \theta+\cot ^2 \theta$ ⇒ $k = \sin^{2}θ + \operatorname{cosec}^{2}θ + \cos^{2}θ+\sec^{2}θ + 2(1+1) - \tan ^2 \theta-\cot ^2 \theta$ ⇒ $k
Question : Directions: Substitute the arithmetical signs in the place of * in the following equation. 7 * 7 * 2 * 1 = 12
Option 1: ×, –, ÷
Option 2: +, –, ×
Option 3: ×, –, +
Option 4: +, ×, –
Correct Answer: +, –, ×
Solution : Let's check the option – First option: ×, –, ÷ Equation after replacing the signs ⇒ 7 × 7 – 2 ÷ 1 = 12 Solving the L.H.S. of the equation – = 7 × 7 – 2 ÷ 1 = 7 ×
Question : Who among the following was the only athlete to represent India in the 1900 Summer Olympics?
Option 1: Norman Pritchard
Option 2: Khashaba Dadasaheb Jadhav
Option 3: Purma Banerjee
Option 4: Phadeppa Dareppa Chaugule
Correct Answer: Norman Pritchard
Solution : The correct option is Norman Pritchard.
India had its first appearance at the modern Olympic Games in 1900 when one athlete, Norman Pritchard, represented the country in the Paris Summer Olympics. He participated in athletics and tennis events during the games held in Paris.
Question : Gugga Naumi festival is celebrated in which of the following states?
Option 1: Gujarat
Option 2: Uttarakhand
Option 3: Himachal Pradesh
Option 4: Haryana
Correct Answer: Haryana
Solution : The correct answer is Haryana.
Haryana celebrates the Gugga Naumi festival during the lunar month of Bhadon. It is observed from August through September and is associated with snake worship. This festival honours Gugga Pir, who also happens to be in Bhadon. The northern Indian
Question : The following table shows the production of different types of two-wheelers from 1993 to 1998. Number of two-wheelers (in 1000s)
What is the percentage increase in the total production of all types of two-wheelers in 1998 in comparison to 1996 (rounded off to the nearest integer)?
Option 1: 27%
Option 2: 25%
Option 3: 24%
Option 4: 26%
Correct Answer: 25%
Solution : Percentage increase in the total production of all types of two-wheelers in 1998 in comparison to 1996 = $\frac{334-268}{268}×100$ = 24.63% $\approx$ 25% Hence, the correct answer is 25%.
Question : Direction: The table given below shows the statistics of the top 10 scores in IPL 2016. A few entries are missing in the table. Here INN, AVG and SR stand for innings played, batting average, and batting strike rate respectively. Based on the table answer the following question. (Strike rate = $\frac{\text{Runs}}{\text{balls faced}}\times $100) and AVG = $\frac{\text {Runs}}{\text {INN – NOT OUT}}$
By what percentage approximately is the batting average of Virat Kohli more than that of Gautam Gambhir?
Option 1: 80
Option 2: 85
Option 3: 75
Option 4: 70
Correct Answer: 85
Solution : Virat Kohli's batting average = $\frac{\text{Runs}}{\text{Inning – Not out}}$ = $\frac{752}{12-3}$ = 83.66 Also, batting average of Gautam Gambhir = 44.9 So, the required percentage = $\frac{\text{Difference in batting average}}{\text{Batting average of Gautam Gambhir}}×100$ = $\frac{83.66-44.9}{44.9}×100$ = $\frac{38.37}{44.9}×100$ = 85.45% (approx) Hence, the correct answer
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