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Browse complete papersAn arithmetic progression has 42 as its first term, 60 as its last term, and a total of 14 terms. What is the sum of these 14 terms?
717
716
711
714
Correct answer
717
Pure ghee costs \( ₹120 \) per kg. After adulterating it with vegetable oil costing \( ₹60 \) per kg, a shopkeeper sells the mixture at the rate of \( ₹98 \) per kg, thereby making a profit of 40%. In what ratio does he mix the two?
3 : 7
2 : 7
2 : 5
1 : 5
Correct answer
3 : 7
The following data pertaining to the number of insects per plant. Find median number of insects per plant.
| Number of insects per plant (x) | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| No. of plants (f) | 1 | 3 | 5 | 6 | 10 | 13 | 9 | 5 | 3 | 2 | 2 | 1 |
\( 5 \)
\( 9 \)
\( 6 \)
\( 8 \)
Correct answer
\( 5 \)
Six people, H, I, J, N, O and P, live on six different floors of the same building. The lowermost floor in the building is numbered 1, the floor above it is numbered 2 and so on, till the topmost floor, which is numbered 6.
N lives on floor numbered 2. H lives on a floor below N. Only four people live between O and H. P lives on an even-numbered floor. J lives on an odd-numbered floor but not on floor number 5. How many people live between I and N?
Four
Three
One
Two
Correct answer
Four
Two taps can fill a cistern in 3 hours and 48 hours, respectively. A third tap can empty the filled cistern in 48 hours. How long (in hours) will it take to fill two-third of the empty cistern if all of them are opened together?
4
2
6
8
Correct answer
4
If 2 is added to each odd digit and 1 is subtracted from each even digit in the number 1326342, then what will be the difference between the highest and the lowest digits in the number thus formed?
5
4
7
6
Correct answer
5
Three identical cubes, each with edge 8 cm, are placed adjacent to each other to form a cuboid. What is the percentage decrease in the total surface area compared to the sum of surface areas of the three separate cubes? (Rounded off to two decimal places.)
22.22%
27.53%
25.67%
20.24%
Correct answer
22.22%
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
Some pen are lead.
Some lead are ruler.
Conclusions:
(I): Some pen are ruler.
(II): All ruler are lead.
Neither conclusion (I) nor (II) follows.
Only conclusion (II) follows.
Both conclusions (I) and (II) follow.
Only conclusion (I) follows.
Correct answer
Neither conclusion (I) nor (II) follows.
The circumference of the base of a cylindrical vessel is 220 cm and its height is 60 cm. How many litres of water can it hold?
231
216
233
202
Correct answer
231
The ratio of Ruby and Anita’s salary is 4 : 3. Ruby and Anita receive a festival allowance of ₹1,000 and ₹2,000, respectively, in a certain month, which makes the ratio of their salary as 5 : 4. Find the difference in the salaries (in ₹) of Ruby and Anita.
5,200
7,000
6,500
6,000
Correct answer
5,200