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Question : Substitute one word for the italicised expression.
When her teacher calls her a person who cannot be corrected, she laughs at herself.
Option 1: obedient
Option 2: reformable
Option 3: incorrigible
Option 4: manageable
Correct Answer: incorrigible
Solution : The third option is correct.
Incorrigible is used for a person or their behaviour that cannot be changed, making it the appropriate choice.
The meanings of the other options are as follows:
Question : The value of $\frac{2}{3}-\frac{5}{6} \times \frac{4}{5} \div \frac{4}{3}+\frac{1}{2}$ is:
Option 1: $\frac{2}{3}$
Option 2: $\frac{2}{5}$
Option 3: $-\frac{11}{60}$
Option 4: $0$
Correct Answer: $\frac{2}{3}$
Solution : Given: $\frac{2}{3}-\frac{5}{6} \times \frac{4}{5} \div \frac{4}{3}+\frac{1}{2}$ = $\frac{2}{3}-\frac{5}{6} \times \frac{4}{5} \times \frac{3}{4}+\frac{1}{2}$ = $\frac{2}{3}-\frac{5}{6} \times \frac{3}{5}+\frac{1}{2}$ = $\frac{2}{3}- \frac{1}{2}+\frac{1}{2}$ = $\frac{2}{3}$ Hence, the correct answer is $\frac{2}{3}$.
Question : If $a+\frac{1}{b}=b+\frac{1}{c}=c+\frac{1}{a}$ where $a \neq b\neq c\neq 0$, then the value of $a^{2}b^{2}c^{2}$ is:
Option 1: –1
Option 2: abc
Option 3: 0
Option 4: 1
Correct Answer: 1
Solution : $a+\frac{1}{b}=b+\frac{1}{c}=c+\frac{1}{a}$ $⇒a-b=\frac{1}{c}-\frac{1}{b}=\frac{b-c}{bc}...(i)$ $⇒b-c=\frac{1}{a}-\frac{1}{c}=\frac{c-a}{ac}...(ii)$ $⇒a-c=\frac{1}{a}-\frac{1}{b}=\frac{b-a}{ba}...(iii)$ Multiplying the above equations, we have, $⇒(a-b)(b-c)(a-c)=(\frac{b-c}{bc})(\frac{c-a}{ac})(\frac{b-a}{ba})$ $⇒(a-b)(b-c)(a-c)=(\frac{(b-c)(c-a)(b-a)}{a^2b^2c^2})$ $⇒ a^2b^2c^2=(\frac{(b-c)(c-a)(b-a)}{(a-b)(b-c)(a-c)})$ $a \neq b\neq c\neq 0$ $⇒ a^2b^2c^2= 1$ Hence, the correct answer is 1.
Question : The ratio of expenditure and savings of a person is 5 : 3. If the income increases by 20% and the expenditure increases by 10%, then the person's savings increase by:
Option 1: $36 \frac{2}{3}$%
Option 2: $3 \frac{1}{3}$%
Option 3: $13 \frac{2}{3}$%
Option 4: $30 \frac{1}{3}$%
Correct Answer: $36 \frac{2}{3}$%
Solution : Given: The ratio of expenditure and savings = 5 : 3. Income increases by 20% and expenditure increases by 10%. Let the expenditure and savings be $5x$ and $3x$ respectively. Income of person $= 5x + 3x = 8x$ The new income $=8x \times
Question : In which state of India is the Wangala festival celebrated?
Option 1: Meghalaya
Option 2: Kerala
Option 3: Goa
Option 4: Jharkhand
Correct Answer: Meghalaya
Solution : The correct option is Meghalaya.
The Wangala Festival is celebrated in the state of Meghalaya in India. It is a harvest festival of the Garo tribe, one of the major tribes in Meghalaya. The festival is dedicated to the god of fertility, known as
Question : Comprehension:
Read the following passage and answer the questions given after it.
Standing in ankle-deep water engulfing his field, Kamal Singh Dhangar takes a wild shot at the likely yield from the soybean crop that practically lies in ruins behind him. "One bag, two bags with difficulty,” notes the 58-year-old with a wry smile, minutes after a fresh spell of rain has lashed Guradiya Sirajuddin village in Ashta tehsil of Madhya Pradesh’s (MP) Sehore district. While the same three-acre plot had given nearly 16 quintals of soybean last year, Dhangar this time isn’t sure he can even afford labourers to harvest the negligible produce staring in his face. He draws solace only from his not being alone. Most farmers in Guradiya Sirajuddin as well as neighbouring villages have reported widespread damage to their already matured standing crop. Gulab Singh, who owns 10 acres not far from Dhangar’s field, is ruing his decision to have taken an additional six acres of land on lease for cultivating soybean and wheat this year. “I have paid the owner Rs 1.5 lakh. By now, this soybean crop should have been ready for taking to Ashta mandi (agriculture produce market at the tehsil town, about 10 km away). But my expensive pursuit has proved costly,” remarks the 60-year-old, who, too, cannot enter his field without wading through water almost touching the knees. Seated at the edge of his flooded field a few hundred meters away, Dev Singh, a sprightly octogenarian, cannot remember the year when the monsoon rains caused such late-stage havoc. “I may have been this big,” he says, pointing to a man many decades younger than him. Western MP, in which Sehore falls, has received 1,335.4 mm of average rainfall from 1 June 1 to 25 September, 58% more than the region’s historical normal of 845.3 mm for this period. However, the real story lies in the month-wise figures. In June, the opening month of the southwest monsoon season, the rains were actually 25.6% below the long-period average. In July, they were 31.2% above average. That surplus rose to 63.6% in August, while a whopping 158% more so far till September, confirming Dev Singh’s observation. Worse, there’s little respite, with more rains predicted over the next few days. The monsoon has taken its toll mainly on soybeans. According to the Union Agriculture Ministry’s data, a total area of 113.449 lakh hectares (lh) has been planted under this leguminous oilseed in the current Kharif season, with the bulk of it accounted for by MP (55.16 lh), Maharashtra (39.595 lh) and Rajasthan (10.608 lh). Within MP, the main soybean-growing districts are Ujjain, Dewas, Indore, Dhar, Ratlam, Mandsaur, Rajgarh, Shajapur, Sehore and Vidisha. The crop in low-lying areas is the one that has been worst affected. “Farmers who had sown early-maturity (80-90 days duration) varieties such as JS 9560 and JS 2034 just after mid-June will take the biggest hit. Their crop would already have matured; the longer it remains in the field, the more the chances of the grain rotting. Also, these farmers will not be able to save this grain for use as seed next year,” admits V S Bhatia, director of the Indian Institute of Soybean Research at Indore.
Question: Which of the following statements is NOT true, according to the passage?
Option 1: In July–August, the actual rainfall was 25.6% below the long-period average.
Option 2: By September, the soybean crop should have been ready for taking to Ashta mandi.
Option 3: From 1 June to 25 September, 58% more rainfall was recorded than the region’s historical normal.
Option 4: The three-acre plot of Kamal Singh had given nearly 16 quintals of soybean in the past year.
Correct Answer: In July–August, the actual rainfall was 25.6% below the long-period average.
Solution : The first option is the correct choice.
The statement "In July–August, the actual rainfall was 25.6% below the long-period average" is not true, according to the passage. The passage provides the month-wise figures for rainfall,
Question : Directions: Which answer figure will complete the question figure?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : On comparing the question figure and all the answer figures, the following figure will combine and make the complete pattern –
Hence, the first option is correct.
Question : If $\tan\left ( A-B \right )=x$, then the value of $x$ is:
Option 1: $\frac{\tan A+\tan B}{1-\tan A \tan B}$
Option 2: $\frac{\tan A+\tan B}{1+\tan A \tan B}$
Option 3: $\frac{\tan A-\tan B}{1-\tan A \tan B}$
Option 4: $\frac{\tan A-\tan B}{1+\tan A \tan B}$
Correct Answer: $\frac{\tan A-\tan B}{1+\tan A \tan B}$
Solution : $\tan(A-B) = \frac{\sin(A-B)}{\cos(A-B)}$ We know that, $\sin(A-B)=\sin A \cos B - \cos A \sin B$ $\cos(A-B)=\cos A \cos B + \sin A \sin B$ On substituting the values, $\tan(A-B) = \frac{\sin A \cos B - \cos A \sin B}{\cos A
Question : Directions: In a code language, the following alphabets are coded in a particular way.
$\triangle$
Which word can be decoded as (?@@$\bigoplus$+?;$\triangle$)?
Option 1: ABOLISH
Option 2: APPROVAL
Option 3: ACCOMPLISH
Option 4: APPROACH
Correct Answer: APPROACH
Solution : Given:
(?@@$\bigoplus$+?;$\triangle$) = ?
The given code can be decoded using the given table. ?→A; @→P;
Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No error".
He is (1) / fatter (2) / than me. (3) / No error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The error lies in the third part of the sentence.
The sentence is incorrect as "me" is an objective pronoun. The sentence must end with the subject I as the subjective pronoun; he should be compared with the subjective pronoun I.
Therefore, the
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