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Two natural numbers A and B have HCF of 13 and LCM of 455. What is the sum of the numbers? (Given A ≠ B ≠ 13)
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The correct answer is Option 2 i.e. 156.
If A and B have HCF = 13
A = 13p and B = 13q
HCF × LCM = A × B
⇒ 13 × 455 = 169 × pq
⇒ 35 = pq
⇒ p = 5 and q = 7
⇒ A = 65 and B = 91
⇒ A + B = 156
2 men, 3 women and 5 children can complete a work in 7 days. A man does double the work a woman does and a child does one fourth the work a man does. In how many days do 4 women can complete the work?
The correct answer is option 2 i.e 133/8 days
Ratio of efficiency of man, woman and child is 4 : 2 : 1
Total work = Person × Efficiency × days
Total work = {(2 × 4) + (3 × 2) + (5 × 1)} × 7 = 133 unit
If 4 women do the work, then number of days will be = 133/8 days
If the speed of a boat in still water is 15 km/h and the speed of the stream is 8 km/h, then find the total time taken by the boat to cover 70 km downstream and 20 km upstream.
The correct answer is Option 4 i.e. 5.9 hrs.
The speed of the boat in still water = 15 km/hr
Speed of stream = 8 km/hr
Speed of downstream = speed of the boat in still water + speed of the stream
Speed of upstream = speed of the boat in still water - speed of the stream
Distance = Time × speed
Time taken by boat downstream to cover 70 km = 70/23 = 3.04 hrs
Time taken by boat upstream to cover 20 km = 20/7 = 2.86 hrs
Total time = 3.04 + 2.86 = 5.9 hrs
A number if reduced by 20% becomes 228. By what percent should it be increased so that it becomes 313.5?
The correct answer is option 1 i.e. 10%
Let the number be x.
A/Q, {x × (100 - 20)}/100 = 228
x × 80/100 = 228
x = (228×100)/80
x = 285
Percentage increase = {(final value - intial value) × 100}/intial value = {(313.5 - 285) × 100}/285 = 10%
So, percentage increase = 10%
For what sum will the simple interest at 10% per annum for n years be 50n?
The correct answer is option 3 i.e. 500.
Simple interest = (Principal × rate × time)/100
Let the sum be P
A/Q,
50n = (P × 10 × n)/100
P = 500
Find the odd one out.
The correct answer is option 4 i.e 16, 4564
1. 14, 2750 = (14)3 + 6 = 2744 + 6 = 2750
2. 18, 5838 = (18)3 + 6 = 5832 + 6 = 5838
3. 19, 6865 = (19)3 + 6 = 6859 + 6 = 6865
4. 16, 4564 = (16)3 + 6 = 4096 + 6 = 4102 not 4564
Hence, the correct answer is 16, 4564.
Out of the following four figures, three are alike in some manner and one differs from these in that manner. Select the odd figure.
The correct answer is option 4.
Logic: Figure 4 is opposite to all other three figures.
Hence, the correct answer is option 4.
Select the odd one out.
The correct answer is option 4 i.e. Parrot : Water
Logic: Animals and their shelter
Lion lives in the den, monkey lives on the tree, snake lives in the hole but parrot does not live in water.
Parrot lives on a tree (branch of the tree).
Hence, the correct answer is Parrot : Water.
Read the following information carefully and answer the questions given below.
There are seven persons A, B, C, D, E, F, and G sitting in a row. All of them are facing north but not necessarily in the same order.
Only three people sit between A and B but neither of them sits on any of the extreme ends of the row. E sits second to the left of B. C sits third to the right of E. Number of people to the right of D is the same as the number of people to the left of F. The immediate neighbour of E is F and D. G sits second to the left of F.
Who is sitting in the middle of the row?
The correct answer is option 1 i.e. E
1. Only three people sit between A and B but neither of them sits on any of the extreme ends of the row.
2. E sits second to the left of B. C sits third to the right of E.
3. The number of people to the right of D is the same as that to the left of F. The immediate neighbor of E is F and D. G sits second to the left of F.
So, E sits in the middle of the row.
Hence, the correct answer is E.
In the following question statements are given and they are followed by conclusions. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read the conclusions and decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.
Statement:
I. All Lakshmi is Vishnu
II. No Vishnu is Kali
III. Some Kali is Shiva
Conclusion:
I. Some Lakshmi is Shiva
II. All Kali is Shiva
The correct answer is option 2 i.e. Neither conclusion I nor II follows
The least possible Venn Diagram for the given statements is shown below:
I. Some Lakshmi is Shiva → False (This is possible but not definite as their is no direct relationship between the two elements)
II. All Kali is Shiva → False (This is possible but not definite as some Kali is shiva is given)
Hence, the correct answer is Neither conclusion I nor II follows.
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