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Browse complete papersA large cuboid-shaped container has the following dimensions: length = 15 meters, width = 8 meters, and height = 6 meters. A cube-shaped object with an edge length of 4 meters is placed inside the container. How many such cubes can be placed inside the container without any part sticking out?
12
10
6
8
Correct answer
12
A hemispherical dome of radius 14 m is to be painted both inside and outside. If the cost of painting is ₹45 per m2 and a platform costing ₹1,200 is needed for the work, find the total cost. \( (Use \ \pi \ = \ \frac{22}{7}) \)
₹1,12,080
₹1,14,500
₹1,10,200
₹1,08,500
Correct answer
₹1,12,080
Each of G, H, I, J, N, O and P has a flight on a different day of a week, starting from Monday and ending on Sunday of the same week. N has a flight immediately before I. P has a flight on one of the days after G. Only three people have flights before O. H has a flight immediately after I. Only one person has a flight after J. How many people have flights between P and H?
Three
Two
One
Four
Correct answer
Three
A circular ground has a radius of 42 meters. A running track surrounds this ground, and it is 7 meters wide. Find the outer perimeter of the running track. (Use \( \pi = \frac{22}{7} \))
254 meters
224 meters
308 meters
154 meters
Correct answer
254 meters
Two fair six-sided dice which have numbers from 1 to 6 on their faces are rolled. What is the probability that the sum of the numbers rolled is greater than 8?
\( \frac{4}{9} \)
\( \frac{1}{5} \)
\( \frac{1}{3} \)
\( \frac{5}{18} \)
Correct answer
\( \frac{4}{9} \)
Which of the following letter-clusters should replace # and % so that the pattern and relationship followed between the letter-cluster pair on the left side of :: is the same as that on the right side of :: ?
Correct answer
Find the class interval corresponding to the class mark xi = 27, where the lower limit of the first continuous class interval is 7.
| xi | fi |
|---|---|
| 11 | 3 |
| 19 | 7 |
| 27 | 11 |
| 35 | 5 |
| 43 | 3 |
21 – 33
24 – 30
23 – 31
22 – 32
Correct answer
21 – 33
AB is parallel to CD. A transversal PQ intersects AB and CD at E and F, respectively, and ∠PEB = 65°. G is a point between AB and CD such that ∠BEG = 22° and ∠GFE = 12°. What is the measure of ∠EGF?
88°
75°
73°
63°
Correct answer
88°
Two trains, 280 meters and 290 meters in length, are running in opposite directions. The first train runs at the rate of 60 km/h and the second train at the rate of 48 km/h. How long will they take to cross each other?
25 seconds
17 seconds
19 seconds
12 seconds
Correct answer
25 seconds
What will come in place of the question mark (?) in the following equation if ‘+’ and ‘−’ are interchanged and ‘×’ and ‘÷’ are interchanged?
16 ÷ 2 − 48 × 6 + 15 = ?
20
28
25
17
Correct answer
20