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Question : The average height of 30 boys out of a class of 50 is 160 cm. If the average height of the remaining boys is 165 cm, the average height of the whole class (in cm) is:
Option 1: 161
Option 2: 162
Option 3: 163
Option 4: 164
Correct Answer: 162
Solution : Given: The average height of 30 boys out of a class of 50 is 160 cm. Average height of remaining boys = 165 cm Formula Used: $\text{Average} = \frac{\text{Sum of the heights of all the students}}{\text{Number of students}}$ Calculation: Total height of 30 boys $=
Question : The given bar diagram represents the number of persons who have taken an insurance policy on the y-axis and the year of purchase of the insurance policy on the x-axis. What is the average number of persons who have taken the insurance policy, excluding in the year 2012?
Option 1: 72
Option 2: 60
Option 3: 70
Option 4: 62
Correct Answer: 72
Solution : The number of persons who have taken the insurance policy excluding the year 2012 = 54 + 65 + 72 + 84 + 85 = 360 $\therefore$ Required Average = $\frac{360}{5}$ = 72 Hence, the correct answer is 72.
Question : The hardness of the water is commonly measured in terms of:
Option 1: calcium carbonate equivalents
Option 2: calcium sulphate equivalents
Option 3: magnesium carbonate equivalents
Option 4: magnesium sulphate equivalents
Correct Answer: calcium carbonate equivalents
Solution : The correct answer is calcium carbonate equivalents.
The hardness of water is typically expressed in parts per million (ppm) and evaluated in terms of calcium carbonate due to the high molecular weight of calcium carbonate (100 g/mol) and the fact that it
Question : Comprehension: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
Nainital has a 1. _____lake. Tourists come from far and wide to 2. _____ boating here. There is a skating place behind it. People who skate here say that the ride seems to go around with them. Evenings are also pleasant here. The 3. _____ of the electric lights look as if they are dancing in the ripples of the lake. Truly, Nainital is an 4. _____city of 5. _____beauty. Question: Select the most appropriate option for blank 4.
Option 1: opulent
Option 2: irritating
Option 3: ominous
Option 4: excellent
Correct Answer: excellent
Solution : The correct choice is the fourth option.
The passage describes the scenic beauty and the pleasant atmosphere in Nainital, making it a charming destination. The word excellent effectively captures the magical and delightful essence of the city.
The meanings of the other options are
Question : Directions: A piece of paper is folded and cut as shown below in the question figure. Indicate how it will appear when opened.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : When the given folded paper is unfolded, it will look like –
Hence, the fourth option is correct.
Question : Identify how you will ask everyone if the children were not reading the books in a passive voice.
Option 1: Were the books being read by the children?
Option 2: Were the books not being read by the children?
Option 3: Were the book not being read by the children?
Option 4: Were the children reading the books?
Correct Answer: Were the books not being read by the children?
Solution : The correct choice is the second option.
Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active sentence becomes the
Question : Ram starts from point A at 8 a.m. and reaches point B at 2 p.m. on the same day. On the same day, Raju starts from point B at 8 a.m. and reaches point A at 6 p.m. on the same day. Both points A and B are separated by only a straight line track. At what time do they both meet?
Option 1: 11:45 a.m.
Option 2: 9:42 a.m
Option 3: 10:42 a.m.
Option 4: 12:42 p.m.
Correct Answer: 11:45 a.m.
Solution : Let the distance be D Time taken by Ram is 6 hrs and that by Raju is 10 hrs. So, speed of Ram = $\frac{D}{6}$ and speed of Raju = $\frac{D}{10}$ Now, the relative speed = $\frac{D}{6} + \frac{D}{10}=\frac{5D + 3D}{30}=\frac{8D}{30}$ Required time =
Question : Directions: Two positions of a cuboidal block are given below, each face having several small triangles. In another position of the cube, if there is one triangle at the bottom, how many triangles will be there on the top face?
Option 1: 4
Option 2: 3
Option 3: 2
Option 4: 5
Correct Answer: 3
Solution : Taking dice positions 1 and 2 with 3$\triangle$ as the common face –
Moving clockwise from the common face with 3$\triangle$ –
So, the opposite pairs are –
Thus, when there is one triangle at the bottom, three triangles will be there on the top
Question : Direction: If 1 + 4 = 9, 2 + 8 =18, 3 + 6 =15 then 7 + 8 = ?
Option 1: 41
Option 2: 23
Option 3: 30
Option 4: 32
Correct Answer: 23
Solution : Given:
1 + 4 = 9 ⇒ 1 + 4 × 2 = 9
2 + 8 =18 ⇒ 2 + 8 × 2 = 18
3 + 6 =15 ⇒ 3 + 6 × 2 = 15
Similarly, 7 + 8 = 23 ⇒
Question : The BRICS New Development Bank (NDB) has been set up for
Option 1: funding infrastructure projects in emerging economies for sustainable development.
Option 2: funding non-infrastructure projects in emerging economies for sustainable development.
Option 3: funding infrastructural projects in developed countries.
Option 4: funding infrastructural projects in BRICS countries only.
Correct Answer: funding infrastructure projects in emerging economies for sustainable development.
Solution : The correct answer is funding infrastructure projects in emerging economies for sustainable development.
The New Development Bank (NDB) was founded during the 2014 Sixth BRICS Summit in Fortaleza, Brazil, with its headquarters situated in Shanghai, China. Its
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