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Question : In triangle MNO, AB is parallel NO and MA = 2.5, AN = 7.5, MB = 2.2, find the value of BO.
Option 1: 6.6
Option 2: 8.2
Option 3: 5.4
Option 4: 4.8
Correct Answer: 6.6
Solution : Given: In triangle MNO, AB is parallel NO and MA = 2.5, AN = 7.5, MB = 2.2 Here, triangles MNO and MAB are similar because angle M in triangle MNO is equal to angle M in triangle MAB. So, $\frac{MA}{MN}=\frac{MB}{MO}$ ⇒ $\frac{2.5}{2.5+7.5}=\frac{2.2}{MO}$ $\therefore MO=8.8$
Question : Bombayala Devi is associated with which sport?
Option 1: Kabaddi
Option 2: Archery
Option 3: 400 metres race
Option 4: Shot put
Correct Answer: Archery
Solution : The correct answer is Archery.
Bombayla Devi Laishram is a female archer from India. She has been part of India's national recurve squad since 2007. She has been awarded with Padma Shri and Arjuna awards for her performance. She also won four gold, five silver
Question : Which of the statements given below is correct?
I. Deforestation reduces the amount of CO2 in the air. II. CO2 traps heat and does not allow it to escape into the air.
Option 1: Only I
Option 2: Neither I nor II
Option 3: Both I and II
Option 4: Only II
Correct Answer: Only II
Solution : The correct solution is Only II.
Afforestation has the purpose of restoring an area that has been destroyed due to previous overuse of the land. It helps in the reduction of soil erosion. Carbon dioxide (CO2) traps heat and does not
Question : Select the option that can be used as a one-word substitute for the given group of words. A shortened version of a larger work
Option 1: Summary
Option 2: Precise
Option 3: Shorts
Option 4: Abridgement
Correct Answer: Abridgement
Solution : The correct choice is the fourth option.
Abridgement is a term used to describe a version of a larger work that has been condensed. This involves shortening the original work by omitting details while still preserving the essential content and narrative.
The meanings of
Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error.
The little boy / hurted himself / when he fell off / his bicycle.
Option 1: hurted himself
Option 2: his bicycle
Option 3: when he fell off
Option 4: The little boy
Correct Answer: hurted himself
Solution : The correct choice is the first option.
Explanation: The correct past tense form of the verb "hurt" is "hurt". The past tense of "hurt" doesn't follow the regular pattern of adding "-ed" to the base form. Irregular verbs like "hurt" have
Question : Directions: In the following question below, some statements are followed by some conclusions. Taking the given statements to be true, even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusions logically follows from the given statements. Statements: I. Some mangoes are not red. II. All reds are raw. III. Some raw are mangoes. Conclusions: I. Some mangoes are not raw. II. Some red are not mangoes. III. All raw are red.
Option 1: Only conclusion I follows
Option 2: Only conclusions II and III follow
Option 3: Only conclusions I and III follow
Option 4: No conclusion follows
Correct Answer: No conclusion follows
Solution : The possible Venn diagram, according to the given statements is as follows–
Let's analyse the conclusions – Conclusion I: Some mangoes are not raw – There is no direct or definite negative relation between mango and raw. So, this conclusion does not follow.
Question : The sides of a triangle are in the ratio $\frac{1}{2}:\frac{1}{3}:\frac{1}{4}$ and its perimeter is 104 cm. The length of the longest side (in cm) is:
Option 1: 52
Option 2: 48
Option 3: 32
Option 4: 26
Correct Answer: 48
Solution : Given: The ratio of the triangle's sides $=\frac{1}{2} : \frac{1}{3} : \frac{1}{4}$. $=\frac{1}{2} × 12 : \frac{1}{3} × 12 : \frac{1}{4} × 12$ $=6: 4: 3$ The perimeter of the triangle is $104$ cm. $\therefore$ The longest length of the triangle = $\frac{104}{6+4+3}×6= 48$ cm
Question : Comprehension: In the following passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each number.
A marketplace is always abuzz with activity. It is especially (1)___________a visit in the evenings. A (2)_________range of items are on display. (3) _________and getting a satisfactory (4) _________give the necessary sense of (5) __________to the bored housewife and bring a smile (6) ___________her face. People from all (7) __________of life, rich and poor, (8) ___________shoulders with each other. From their busy (9). ___________, here people find time to (10) __________a greeting with friends or neighbours.
Question: Select the most appropriate option to fill in the blank number 10.
Option 1: displace
Option 2: transfer
Option 3: exchange
Option 4: return
Correct Answer: exchange
Solution : The correct choice is the third option.
The word exchange is appropriate in this context as it implies a mutual or reciprocal action of giving and receiving greetings.
People at the marketplace take time from their busy schedules not just to offer greetings but also
Question : The data given in the table shows the number of boys and girls enrolled for different games in an academy over 5 years.
Which game has the maximum enrollment and during which year?
Option 1: Cricket in 2020
Option 2: Basketball in 2019
Option 3: Football in 2019
Option 4: Basketball in 2020
Correct Answer: Basketball in 2020
Solution : In 2018, Basketball: 46 + 34 = 80 Football: 42 + 37 = 79 Cricket: 45 + 35 = 80 In 2019, Basketball: 40 + 41 = 81 Football: 44 + 38 = 82 Cricket: 42 + 32 = 74 In 2020, Basketball:
Question : If $\sec \theta+\tan \theta=5, (\theta \neq 0)$, then $\sec \theta$ is equal to:
Option 1: $\left(5+\frac{1}{5}\right)$
Option 2: $\frac{1}{2}\left(3+\frac{1}{3}\right)$
Option 3: $\frac{1}{2}\left(5+\frac{1}{5}\right)$
Option 4: $\left(3+\frac{1}{3}\right)$
Correct Answer: $\frac{1}{2}\left(5+\frac{1}{5}\right)$
Solution : Given: $\sec \theta+\tan \theta=5$ ..... equation1 $\sec^{2}\theta - \tan^{2}\theta =1$ ⇒ $(\sec \theta+\tan \theta)(\sec \theta-\tan \theta)=1$ ⇒ $\sec \theta-\tan \theta=\frac{1}{5}$......equation2 Adding equation1 and equation2 $2\sec\theta = 5 + \frac{1}{5}$ ⇒ $\sec\theta=\frac{1}{2}\left(5+\frac{1}{5}\right)$ Hence, the correct answer is $\frac{1}{2}\left(5+\frac{1}{5}\right)$.
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