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Question : Directions: In the following question a series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series.
5, 9, 13, 17, ?, 25
Option 1: 27
Option 2: 23
Option 3: 21
Option 4: 19
Correct Answer: 21
Solution : Given:
5, 9, 13, 17, ?, 25
In the given series, add 4 to the previous term to get the next term.
5 + 4 = 9; 9 + 4 = 13; 13 + 4 = 17; 17 + 4 = 21; 21 + 4 = 25
So, the missing number is 21. Hence, the third option is correct.
Answer laterQuestion : Which article of the Constitution of India under the Directive Principles of State Policy talks about the organisation of village panchayats?
Option 1: Article 40
Option 2: Article 48
Option 3: Article 43
Option 4: Article 39A
Correct Answer: Article 40
Solution : The correct answer is Article 40.
The constitution's Article 40 mandates that state governments set up village panchayats. The directive specifies that the state must establish village panchayats and provide them with the necessary authorities to operate as autonomous government entities.
Question : Hydrogen bomb is based on the principle of
Option 1: controlled fission reaction
Option 2: uncontrolled fission reaction
Option 3: controlled fusion reaction
Option 4: uncontrolled fusion reaction
Correct Answer: uncontrolled fusion reaction
Solution : The correct answer is uncontrolled fusion reaction.
The theory of uncontrolled nuclear fusion underpins a hydrogen bomb. The process by which the nuclei of two light atoms join to generate a new nucleus is known as nuclear fusion.
Question : A sum becomes Rs.15,500 in 7 years on simple interest at the rate of 30 percent per annum. What is the total interest for the 7 years?
Option 1: Rs. 12,200
Option 2: Rs. 1,47,000
Option 3: Rs. 10,500
Option 4: Rs. 11,500
Correct Answer: Rs. 10,500
Solution : Given, Sum= Rs. 15500
Rate of interest (r) = 30% per annum
Time (t) = 7 years
Let the principal be P.
⇒ [P + (simple interest)] = sum
⇒ [P + $\frac{\text{Prt}}{100}$] = sum
⇒ [P + $\frac{\text{P} × 30 × 7}{100}$] = 15500
⇒ [P + $\frac{\text{P} × 210}{100}$] = 15500
⇒ [P + $\frac{\text{21P}}{10}$] = 15500
⇒ $\frac{31\text{P}}{10}$ = 15500
⇒ P = $15500 × \frac{10}{31}$
⇒ P = 5000
Simple interest = 15500 – 5000 = Rs. 10500
Hence, the correct answer is Rs. 10500.
Question : The total cost of a dishwasher and a vacuum cleaner was INR 78,750. The vacuum cleaner was sold at a profit of 37% and the dishwasher at a loss of 23%. If the selling price was the same for both items, then the cost price of the cheaper item was:
Option 1: INR 51,375
Option 2: INR 29,375
Option 3: INR 30,750
Option 4: INR 28,335
Correct Answer: INR 28,335
Solution : Let the cost price of the dishwater and vacuum cleaner be INR $y$ and INR $x$, respectively.
Total cost price of a dishwasher and a vacuum cleaner = INR 78,750
$x$ + $y$ = $78750$-------------------(i)
Profit of vacuum cleaner = 37% of $x$ = $0.37x$
Selling price of vacuum cleaner = $x$ + $0.37x$ = $1.37x$
Also, the loss of dishwasher = 23% of $y$ = $0.23y$
So, selling price of dishwasher = $y$ – $0.23y$ = $0.77y$
Since both have the same selling price,
⇒ $1.37x = 0.77y$
From equation (i),
⇒ $1.37(78750-y) = 0.77y$
⇒ $2.14y =107887.5$
⇒ $y$ = INR $50414.7 $
So, $x=78750-y= 78750-50414.7=28335.3$ = INR 28,335 approx
⇒ Since the vacuum cleaner is less expensive than the dishwasher.
Hence, the correct answer is INR 28,335.
Question : Directions: A father is 5 times as old as his son. His son is 6 years old. After how many years, will the father be 4 times as old as his son?
Option 1: 5 years
Option 2: 6 years
Option 3: 4 years
Option 4: 2 years
Correct Answer: 2 years
Solution : Given:
The present age of the son = 6 years
The father's present age is five times the age of his son,
⇒ Father's present age = 6 × 5 = 30 years
Let's assume that after Y years, his father's age will be four times his son's age.
After Y years, Father's age = (30 + Y) years, his son's age = (6 + Y) years
According to the given statement,
⇒ 4 × (6 + Y) = (30 + Y)
⇒ 24 + 4Y = 30 + Y
⇒ 4Y – Y = 30 – 24
⇒ 3Y = 6
⇒ Y = 2
So, after 2 years the age of the father will be 4 times as old as his son. Hence, the fourth option is correct.
Question : Directions: After interchanging the given two numbers (not digits) what will be the values of expression (I) and (II) respectively?
6 and 4
l. 10 × 6 – 30 ÷ 4 + 20
II. 8 – 4 × 5 + 6 ÷ 2
Option 1: 12 and –6
Option 2: 20 and 55
Option 3: 55 and –20
Option 4: 10 and –6
Correct Answer: 55 and –20
Solution : Given:
l. 10 × 6 – 30 ÷ 4 + 20
II. 8 – 4 × 5 + 6 ÷ 2
Let's solve each equation after interchanging the numbers according to the instructions.
On interchanging the numbers 6 and 4 in the first equation, we get –
= 10 × 4 – 30 ÷ 6 + 20
= 10 × 4 – 5 + 20
= 40 – 5 + 20
= 55
On interchanging the numbers 6 and 4 in the second equation, we get –
= 8 – 6 × 5 + 4 ÷ 2
= 8 – 6 × 5 + 2
= 8 – 30 + 2
= –20
Therefore, after solving the given equations the required answer is 55 and –20. Hence, the third option is correct.
Question : $x$ does $\frac{1}{4}$ of a job in 6 days. $y$ completes the rest of the job in 12 days. Then $x$ and $y$ could complete the job together in:
Option 1: $9$ days
Option 2: $9\frac{3}{5}$ days
Option 3: $8\frac{1}{8}$ days
Option 4: $7\frac{1}{3}$ days
Correct Answer: $9\frac{3}{5}$ days
Solution : Time taken by $x$ to complete $\frac{1}{4}$ of a job = 6 days
Time taken by $x$ to complete whole work = 6 × 4 = 24 days
Part of work done by $x$ in a day = $\frac{1}{24}$
Time taken by $y$ to complete $\frac{3}{4}$ of a job = 12 days
Time taken by $y$ to complete whole work = $\frac{12 × 4}{3}$ = 16 days
Part of work done by $y$ in a day = $\frac{1}{16}$
Part of work done by $x$ and $y$ in a day = $\frac{1}{24}$ + $\frac{1}{16}$ = $\frac{4 + 6}{96}$ = $\frac{10}{96}$
Time taken by $x$ and $y$ together to complete whole work = $\frac{96}{10}$ = $9\frac{3}{5}$ days
Hence, the correct answer is $9\frac{3}{5}$ days.
Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2), and (3) that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).
The work you have submitted is not to the mark.
(1) as the
(2) from the
(3) up to the mark
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The sentence can be improved using the third option.
This is the correct phrase in English to convey that something meets the expected standard or is satisfactory. "The work you have submitted is not up to the mark", indicates that the work does not meet the required or expected standard.
Therefore, the correct sentence is: The work you have submitted is not up to the mark.
Question : Select the most appropriate ANTONYM of the word "established" from the given sentence:
Siben feels great satisfaction and gratified when he finds his pupils established successfully in the society when a lot have been displaced because of several failed attempts.
Option 1: displaced
Option 2: fail
Option 3: gratified
Option 4: pupils
Correct Answer: displaced
Solution : The right option is the first option.
Established implies being settled, well-founded, or having achieved success, while displaced means being removed, unsettled, or forced to leave a place, which is its antonym in this context.
So, the meanings of the other given words are:
- Fail means to be unsuccessful or to not achieve the desired objective.
- Gratified means to be pleased or satisfied as a result of achieving or fulfilling something.
- Pupil refers to a student or a learner, especially in a school or educational setting.
So, the most appropriate antonym of established is displaced.
