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Question : The given histogram shows the height of the students. The number of students whose height is in the class interval 170-175 is what per cent less than the number of students whose height is in the interval 165-170? (correct to one decimal place)
Option 1: 14.3%
Option 2: 19.5%
Option 3: 11.5%
Option 4: 17.3%
Correct Answer: 14.3%
Solution : The number of students whose height is in the class interval 170-175 = 12 The number of students whose height is in the class interval 165-170 = 14 Required percentage = $\frac{\text{Students in the class interval 165-170 – Students in the class interval 170-175}}{\text{Students in
Question : Sudhin cycled at 8.5 km/hr for 4 hours, then took an auto and travelled at 20 km/hr for 1.5 hours and then walked at 4 km/hr for y hours. If Sudhin's overall average speed for the entire journey was 10 km/hr, what is the value of y?
Option 1: 2
Option 2: 1.25
Option 3: 1.5
Option 4: 1.75
Correct Answer: 1.5
Solution : Distance travelled by Sudhin cycling at 8.5 km/h for 4 hours = 8.5 × 4 = 34 km Distance travelled by Sudhin in an auto at 20 km/h for 1.5 hours = 20 × 1.5 = 30 km Distance travelled by Sudhin walking at 4
Question : Concerning Sonepur Cattle Fair, consider the following statements and select the correct option. a) It is associated with the Hariharnath temple. b) It begins on Purnima (full moon night) and Kartik month. c) It is celebrated in the Madhya Pradesh state.
Option 1: Both a and b
Option 2: Both a and c
Option 3: Both b and c
Option 4: a, b, c
Correct Answer: Both a and b
Solution : The correct option is Both a and b.
In Bihar, Sonepur is a town close to Patna on the banks of the Gandak River. It is well-known for hosting the biggest cattle fair in India, the Sonepur Mela, which is held
Question : Directions: Select the figure that can replace the question mark (?) in the following series.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : In the question image, check the moving pattern of X and @ for the next figure. Step 1: Check the position of X as X moves one and a half positions (one position equal to half the side of a square) in the anticlockwise direction. Step
Question : What is the value of $\sin 28° \sin 35° \sin 45° \sec 62° \sec 55°$?
Option 1: $2$
Option 2: $\frac{1}{\sqrt{2}}$
Option 3: $\sqrt{2}$
Option 4: $\frac{1}2$
Correct Answer: $\frac{1}{\sqrt{2}}$
Solution : Given expression is $\sin 28° \sin 35° \sin 45° \sec 62° \sec 55°$. We know, $\sin \theta = \cos(90°-\theta)$ So, $\sin 28° = \cos(90° - 28°)$ = $\cos 62°$ Also, $\sin 35° = \cos(90° - 35°)$ = $\cos 55°$ Substituting these values in the given
Question : The mean proportion of 169 and 144 is:
Option 1: 156
Option 2: 147
Option 3: 126
Option 4: 165
Correct Answer: 156
Solution : Mean proportion of $a$ and $b$ is $\sqrt{ab}$. So, the Mean proportion of 169 and 144 $=\sqrt{169\times 144}=156$ Hence, the correct answer is 156.
Question : Direction: The table below shows the distribution of the number of people living in eight different countries and the per capita income of each of the countries. The total population of these countries taken together is 200 crore. Per capita income is calculated by dividing the country's total GDP by its population.
What is the total GDP (in crore dollars) of country 5?
Option 1: 27,120
Option 2: 31,640
Option 3: 38,280
Option 4: 44,660
Correct Answer: 31,640
Solution : The population of Country 5 is 7% of the total population. ⇒ Population of country 5 = $\frac{7}{100} × 200 = 14$ crore Also, it is given that Per capita income is calculated by dividing the country's total GDP by its population. i.e., Per capita
Question : Directions: In a certain code language, WIFE is written as 172 and CAT is written as 72. How will SON be written in that language?
Option 1: 244
Option 2: 144
Option 3: 241
Option 4: 141
Correct Answer: 144
Solution : Given: WIFE is written as 172 and CAT is written as 72.
Position values of letters of WIFE→W = 23; I = 9; F = 6; E = 5 Now, add the position values→23 + 9 + 6 + 5 = 43 Now, multiply the
Question : Pipe A can fill an empty tank in 6 hours and pipe B, in 8 hours. If both pipes are opened and after 2 hours, pipe A is closed, how much time will B take to fill the remaining tank?
Option 1: $7\frac{1}{2}$ hours
Option 2: $2\frac{2}{5}$ hours
Option 3: $2\frac{1}{3}$ hours
Option 4: $3\frac{1}{3}$ hours
Correct Answer: $3\frac{1}{3}$ hours
Solution : Given: Pipe A can fill an empty tank in 6 hours and pipe B, in 8 hours. So, in 1 hour, pipe A can fill $\frac{1}{6}$ part and pipe B can fill $\frac{1}{8}$ part of the tank separately. In 1 hour, both pipes together
Question : To cover a distance of 234 km in 1.6 hr, what should be the average speed of the car in m/s?
Option 1: 40.625
Option 2: 146.25
Option 3: 73.125
Option 4: 81.25
Correct Answer: 40.625
Solution : Given: Distance = 234 km = 234000 m Time = 1.6 hr = 1.6 × 60 × 60 = 5760 s The average speed is given by the formula: Speed = $\frac{\text{Distance}}{\text{Time}}$ Speed = $\frac{234000}{5760} = $ 40.625 m/s Hence, the correct answer is 40.625.
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