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Question : Find the effective discount for the scheme – Buy 5 get 3 free.
Option 1: 36.5%
Option 2: 37.5%
Option 3: 36%
Option 4: 37%
Correct Answer: 37.5%
Solution : Let the price of 1 article be Re. 1. Total articles = 5 + 3 = 8 So, the price of 8 articles is Rs. 8. $\therefore$ Discount percentage $=\frac{\text{Free articles}}{\text{Total articles}}×100=\frac{3}{8}×100=37.5\%$ Hence, the correct answer is 37.5%.
Question : Directions: Which two signs and two numbers should be interchanged in the following equation to make it correct? 40 – 220 ÷ 2 × 2 + 20 = 200
Option 1: 20 and 40; + and –
Option 2: 2 and 20; ÷ and +
Option 3: 220 and 40; + and ×
Option 4: 220 and 20; ÷ and ×
Correct Answer: 20 and 40; + and –
Solution : Given: 40 – 220 ÷ 2 × 2 + 20 = 200
Replace the given signs and numbers in the options one by one with the original signs and numbers in the given equation. First option: 20 and 40, +
Question : In an entrance examination at different centres, a total of 25, 30, 40, 45, 60 and 100 students appeared. The pass percentages of the different centres are 20%, 30%, 35%, 40%, 50% and 75%, respectively. The pass percentage of the entrance examination is: (correct to the nearest integer)
Option 1: 59%
Option 2: 43%
Option 3: 53%
Option 4: 50%
Correct Answer: 50%
Solution : Passing percentage = $\frac{\text{Number of students passed in the examination at all centres}}{\text{Total number of students appeared}}\times 100$ ⇒ Passing percentage = $\frac{\text{20% of 25 + 30% of 30 + 35% of 40 + 40% of 45 + 50% of 60 + 75% of 100}}{25
Question : Simplify the given expression. $18 \div 3$ of $2 \times 5+72 \div 18$ of $2 \times 3-4 \div 8 \times 2$
Option 1: $20$
Option 2: $\frac{20}{3}$
Option 3: $\frac{25}{3}$
Option 4: $25$
Correct Answer: $20$
Solution : Given: $18 \div 3$ of $2 \times 5+72 \div 18$ of $2 \times 3-4 \div 8 \times 2$ $=18 \div 6 \times 5+72 \div 36 \times 3-4 \div 8 \times 2$ $=3 \times 5+2 \times 3-1$ $=15+6-1$ $=20$ Hence, the correct answer is $20$.
Question : In which among the following markets does a firm not exercise control over price?
Option 1: Mixed competition
Option 2: Monopoly
Option 3: Oligopoly
Option 4: Perfect competition
Correct Answer: Perfect competition
Solution : The correct answer is Perfect competition.
A company does not have pricing control over its goods in a perfectly competitive market. Perfect competition is a market system that is distinguished by many essential characteristics. There are countless tiny enterprises in a completely competitive
Question : Rearrange the parts of the sentence in correct order. The ministry officials P. recommend the shortlisted names to Q. the awards selection committee R. sieve through the applicants' credentials and S. have been working overtime to
Option 1: SPRQ
Option 2: QRPS
Option 3: SPQR
Option 4: PQRS
Correct Answer: SPRQ
Solution : The correct option is the first option.
The correct order for the sentence is SPRQ. The logical flow starts with the ministry officials (S) working overtime, followed by their action of sieving through the applicants' credentials (P) to shortlist names. Subsequently, they recommend these
Question : Identify the segment that contains a grammatical error. If there is no error, select 'No error'.
Hearing those words / from his mouth, was / hard than I thought.
Option 1: hard than I thought.
Option 2: No error
Option 3: Hearing those words
Option 4: from his mouth, was
Correct Answer: hard than I thought.
Solution : The error lies in the first option.
Explanation: The correct comparative form of the adjective "hard" is "harder". In this context, a comparison is being made between the difficulty of hearing those words from his mouth and the speaker's initial perception.
Question : Four circles of equal radii are described around the four corners of a square so that each touches two of the other circles. If each side of the squares is 140 cm, then the area of the space enclosed between the circumference of the circle is: (Take $\pi=\frac{22}{7}$)
Option 1: 4200 cm2
Option 2: 2100 cm2
Option 3: 7000 cm2
Option 4: 2800 cm2
Correct Answer: 4200 cm2
Solution : Given: Four circles of equal radii are described around the four corners of a square so that each touches two of the other circles. Each side of the squares is 140 cm. Each side of the square ($a$) = 140 cm The radius
Question : Study the given table and answer the question that follows. The table shows the number of students studying in 6 different classes at 6 different schools.
Which class has the maximum number of students from all schools together?
Option 1: X
Option 2: VII
Option 3: VI
Option 4: V
Correct Answer: VI
Solution : Number of students in class V = 917 Number of students in class VI = 924 Number of students in class VII = 904 Number of students in class VIII = 919 Number of students in class IX = 903 Number of students in class
Question : Study the given pie chart and table and answer the question that follows The pie chart shows the percentage distribution of age groups of visitors to a park in a month. The table shows the male and female distribution of the visitors in terms of the percentage.
If 2000 male visitors and 1500 female visitors were there in all, then the ratio of the number of male visitors in the age group 25-35 to the female visitors of the age group 45-60 is:
Option 1: 71 : 45
Option 2: 57 : 41
Option 3: 63 : 47
Option 4: 81 : 29
Correct Answer: 81 : 29
Solution : The total number of males and females in all age groups = 2000 + 1500 = 3500 The number of male visitors in the age group 25-35 years = 60% of 27% of 3500 = $\frac{60}{100}×\frac{27}{100}×3500=567$ The number of female visitors of the
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