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Question : Let $x, y, z$ be fractions such that $x<y<z$. If $z$ is divided by $x$, the result is $\frac{5}{2}$, which exceeds $y$ by $\frac{7}{4}$. If $x+y+z=1 \frac{11}{12}$, then the ratio of $(z-x):(y-x)$ is:
Option 1: 6 : 5
Option 2: 9 : 5
Option 3: 5 : 6
Option 4: 5 : 9
Correct Answer: 6 : 5
Solution : Given that $z$ divided by $x$ is $\frac{5}{2}$. $⇒z = \frac{5}{2}x$ Also, given that $\frac{5}{2}$ exceeds $y$ by $\frac{7}{4}$. $⇒y = \frac{5}{2} - \frac{7}{4} = \frac{3}{4}$ Substituting $y = \frac{3}{4}$ and $z = \frac{5}{2}x$ into the equation $x + y + z =
Question : 'Ashta Mahasthan' refers to the eight significant places associated with the life of the Buddha. Which among the following is not one of those?
Option 1: Lumbini
Option 2: Raigad
Option 3: Sarnath
Option 4: Bodh Gaya
Correct Answer: Raigad
Solution : The correct option is Raigad.
Raigad is not one of the Ashta Mahasthan, the eight significant places associated with the life of Buddha. These include Lumbini, Bodh Gaya, Sarnath, Kushinagar, Shravasti, Sankissa, and Rajgir. Raigad, a historic fort in Maharashtra, lacks any connection to Buddha's
Question : Directions: In the following question a series is given, with two terms missing. Choose the correct alternative from the given ones that will complete the series. 1, 1, 6, 6, 11, 11, 16, ___, ___
Option 1: 13, 11
Option 2: 16, 21
Option 3: 17, 21
Option 4: 21, 16
Correct Answer: 16, 21
Solution : Given: 1, 1, 6, 6, 11, 11, 16, ___, ___
Follow the pattern to find the missing term –
So, 16 and 21 are the missing terms in the series. Hence, the second option is correct.
Question : Directions: Select the figure that will come next in the following figure series.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : According to the given figures – The pentagon with the arrow on top is rotating 90° in the clockwise direction. So, following the above pattern, the required figure will be as follows –
Hence, the first option is correct.
Question : Direction: Study the following bar diagram carefully and answer the question. The bar graph given below shows the foreign exchange reserves of a country (in million US dollars) from 1991– 1992 to 1998– 1999.
The foreign exchange reserves in 1996– 97 were approximately what percent of the average foreign exchange reserves over the period under review?
Option 1: 95%
Option 2: 110%
Option 3: 115%
Option 4: 124%
Correct Answer: 124%
Solution : Based on the provided bar graph, The 1996– 1997 foreign exchange reserves were $4320$ million. Average foreign exchange reserves over the given period = $\frac{2640+3720+2520+3360+3120+4320+5040+3120}{8} = 3480$ million US dollars 3480 million US dollars is the average foreign exchange reserves over all years. Required percentage
Question : Study the given histogram that shows the marks obtained by students in an examination and answer the question that follows. The number of students who obtained less than 200 marks is:
Option 1: 75
Option 2: 30
Option 3: 45
Option 4: 135
Correct Answer: 30
Solution : From the given histogram, the number of students who obtained less than 200 marks is 30. Hence, the correct answer is 30.
Question : Mr. Y purchased a flat for Rs. 9,25,000 and spent Rs. 35,000 for its renovation. If he sold the flat for Rs. 10,80,000 then his profit percent is:
Option 1: 15%
Option 2: 17.5%
Option 3: 20%
Option 4: 12.5%
Correct Answer: 12.5%
Solution : The total money spent on flat (Cost price) = 925000 + 35000 = Rs. 9,60,000 The selling price of flat = Rs. 10,80,000 Profit = 1080000 – 960000 = Rs. 1,20,000 Profit percent = $[\frac{\text{Profit}}{\text{Cost price}}]$ × 100 Profit percent = $\frac{120000}{960000}$ × 100 =
Question : Direction: Study the pie chart and answer the question. Details of % of employees working in various departments and number of males among them. Total number of employees = 800 The ratio of males working in the marketing department to the number of females in that department is:
Option 1: 52 : 7
Option 2: 52 : 9
Option 3: 55 : 7
Option 4: 55 : 9
Correct Answer: 55 : 9
Solution : Number of employees in the marketing department = $\frac{24}{100} \times 800$ = 192 Total number of Males = 165 Total number of Females = 192 –165 = 27 ∴ Required ratio = 165 : 27 = 55 : 9 Hence, the correct answer
Question : Meteorology is the science of:
Option 1: Weather
Option 2: Meteors
Option 3: Metals
Option 4: Earthquakes
Correct Answer: Weather
Solution : The correct answer is the weather.
Meteorology is a branch of the atmospheric sciences with a major focus on weather forecasting. It also includes atmospheric chemistry and atmospheric physics. A person who studies the weather is called a meteorologist.
Question : What is the compound interest on Rs. 20000 at 10% per annum for 1 year 6 months, compounded half-yearly?
Option 1: Rs. 3215.5
Option 2: Rs. 3200
Option 3: Rs. 3152.5
Option 4: Rs. 3300
Correct Answer: Rs. 3152.5
Solution : Principal = Rs. 20000 Rate = 10% yearly, $\frac{R}{2}$ = 5% compounded half yearly Time = 1 year 6 months compounded half yearly = 3 times We know that, $ A= P(1+\frac{\frac{R}{2}}{100})^{T}$ ⇒ $ A= 20000(1+\frac{5}{100})^{3}$ ⇒ $ A= 20000(\frac{105}{100})^{3}$ ⇒ $ A= 20000\times\frac{21}{20}\times\frac{21}{20}\times\frac{21}{20}$
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