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If the rate of interest is 8% per annum and Rs. 10000 lent at the compound interest half yearly then calculate the equivalent simple rate of interest for the first year?
the rate of interest is 8% per annum lent at the compound interest half yearly.
Compound interest for 6 months = 4%
Compound interest next 6 months = 4% + 4of 4% = (4 +.16)% = 4.16%
the equivalent simple rate of interest for the first year = 4 + 4.16 = 8.16%
Three taps A, B, and C can fill a tank in 20, 24, and 30 hours, respectively. How long (in hours) would the three taps take to fill the tank if all of them are opened together?
B can fill 1 unit of water in tank in 1/24 hours
C can fill 1 unit of water in tank in 1/30 hours
(A+B+C) can fill 1 unit of water in tank in 1/20+1/24+1/30 = 6+5+4/120 = 15/120 = 18 days
Therefore,
(A+B+C) can fill full tank in 8 days.
PAB and PCD are two secants to a circle. if PA =10cm , AB =12cm and PC =11cm, then what is the value of PD?
PA x PB = PC x PD
Let PD = X cm
10 x (10 + 12) = 11 x (11 + X)
11 + X = 20
X = 9
PD = 9 = 11 = 20 cm
The speed of a boat in still water is 10 km/hr. It covers a distance of 50 km upstream in 6 hours. What is the speed (in km/hr) of the stream?
Upstream speed 50/6 = 25/3 km/hr
So, Downstream speed 35/3 km/hr.
500 litres of milk solution has 40% milk in it. How much more milk should be added to make it 60% in the solution?
Water is 60% of 500 = 300 litres
ATQ,
40%of mixture = water = 300 litres
New mixture quantity = 300/40% = 750 liters
The quantity of milk in the mixture = 60 % of 750 = 450 liters
Required milk to be mixed = 450  200 = 250 liters
Therefore,
250 liter of milk should be added to make it 60% in the solution.
The shadow of a tower on the ground level is increased by 20 m, when the angle of depression by the sun changes from 60^{∘} to 30^{∘}. The height of the tower is?
Let the height of tower DC = h meter
tan 60^{0} = h/BC
Putting the value of BC from equation(l) in equation (2), we get
What will be the sum of all odd whole numbers between 10 and 38?
That is,
Last term = First term + (number of terms1) × Common difference
ATQ,
37 = 11 + (N1) × 2
So, N or Number of terms = 14
Now,
Sum of terms = N/2 [2×first term(N−1)×d]
ATQ,
Sum = 14/2 [2×11+(14−1)×2]
Sum = 336
Therefore,
The Sum of all odd whole numbers between 10 and 38 is 336
If the volume of two cubes are in the ratio 125 : 1, then what is the ratio of their edges?
A , B, and C invest in a business in the ratio 3:6:5. A and C are working partners. Only B is a sleeping partner; hence his share will be 3/4th of what it would have been if he were a working partner. If they make Rs. 50000 profit, half of which is reinvested in the business and the other half is distributed between partners, then how much does C get (in Rs)?
Given the investment ratio old ratio
A : B: C
3 : 6 : 5
ATQ,
total profit = 50000
after reinvestment the profit
= 50000/2 = 25000
The HCF and LCM of the two numbers are 45 and 270, respectively. If the ratio of the two numbers is 2:3 and the smaller of the two numbers is X, then find X^{2.}
Product of numbers = product of lcm and hcf
2y × 3y = 45 × 270
y^{2} = 45 × 45
y = 45
then smaller no.
X = 2 × 45 = 90
X^{2} = (90)^{2} = 8100
What is the value of cos40^{∘ }− cos140^{∘}/sin80^{∘ }+ sin120^{∘}?
What is the value of tan (π/4 + A) × tan (3π/4 + A)?
The distance between the centers of the two circles is 61cm and their radius is 35cm and 24cm. What is the length(in cm) of the direct common tangent to the circles?
What is the value of 2cot P−A/2/1+tan^{2} 2P−A/2 ?
= (11  10)^{2} + (7  10)^{2} + (10  10)^{2} + (13  10)^{2} + (9  10)^{2 }
= 1 + 9 + 0 + 9 + 1 = 20
Standard deviation =
If a dairy mixes cow’s milk which contains 10%fat with buffalo’s milk which contains 20% fat,then the resulting mixture has the fat of 120/7%. In what ratio was the cow’s milk mixed with buffalo’s milk?
Use alligation rule
If two complementary angles are in the ratio of 4:5, find the greater angle.
4x + 5x = 90^{∘}
9x = 90^{∘}
x = 10^{∘ }
Greater angle = 5x = 50^{∘}
In the given figure, in a right angle triangle ABC, AB = 12 cm and AC = 15cm. A square is inscribed in the triangle. One of the vertices of the square coincides with the vertex of the triangle. What is the maximum possible area of the square (cm^{2})?
AB = 12 cm, AC = 15 cm
then, BC = 15^{2}  12^{2} = 9cm
side of square
where, P = perpendicular, B = base
side of the square
area of the largest square that can be formed
inside the triangle = (36/7)^{2} = 1296/49
What is the measure of the two equal angles of a right isosceles triangle?
A.T.Q
∠B = 90°
and AB = BC
So, ∠A = ∠C
we know that
∠A + ∠B + ∠C = 180°
x + 90° + x = 180°
2x = 90°
x = 45°
If 108^{2} = 11664, then what is the value of √1.1664 + √116.64 ?
The length and breadth of a rectangular field are in the ratio of 5 : 2. If the perimeter of the field is 140 metres, then what is the breadth (in metres)?
Perimeter = 2(Length + Breadth)
140 = 2(5x+2x)
70 = 7x
So, x = 10 m
Therefore, Breadth of rectangle = 2×10=20 metre
Calculate the amount on Rs. 37,500 @ 8% p.a compounded half yearly for 1 1/2 years.
As the interest compounded half yearly
So time will be =3 half year
Rate = 8/2 = 4%
= 42182.4
The mean of 17 numbers is 12. If two numbers 9 and 15 are removed, then what will be the mean of remaining number?
After removal of 9 and 15, sum becomes 180.
Therefore,
Mean of remaining 15 numbers = 180/15=12
Ram Naresh got two successive discounts, a bag with a list price of Rs. 400 is available at Rs. 160. If the second discount is 20%, find the first discount.
Let the first discount be x%
First a discount of 20% means that you multiply the price by. 80(1  0.20)
The initial price is therefore first multiplied by x, then by 0.80, and the result is 160.
Multiply by 0.5 means reduce by 50%.
If the diagonal of a square is 12 cm, then what is the area (in cm^{2}) of the square?
Diagonal of square = side x √2
Area of square = side^{2}
ATQ,
Diagonal = 12cm
Side x √2 = 12
So, side = 12/√2
Therefore,
Area = (12/√2)^{2} ⇒ 144/2 ⇒ 72
A line passing through (3, 5) makes the angle of 135^{∘} with xaxis. What will be its equation?
Slope = tan 1350 = −1 = m
⇒ A (3,5)
(y  5) = (x  3)
Equation of line
x + y  8 = 0
Three toys are in the shape of the cylinder, hemisphere, and cone . The three toys have the same base. The height of each toy is 2 √2. What is the ratio of the total surface areas of the cylinder, hemisphere and cone respectively ?
Height of each toy = 2√2
since height of hemisphere = radius of hemisphere
= radius of each toy = 2√2
slant height of cone(l)
ratio = T.S.A of cylinder: T.S.A of the hemisphere : T.S.A of cone
A sum of Rs 4000 becomes Rs 5800 in 3 years, when invested in a scheme of simple interest. If the same sum is invested in a scheme of compound interest with same yearly interest rate (compounding of interest is done yearly), then what will be the amount (in Rs) after 2 years?
Average of the runs of 133 players of a team is 38. If the average of the runs of the male players is 43 and the average of the runs of the female players is 24, then what will be the ratio of the total runs of male players and the total runs of female players respectively?
M :F = 1 4 :1 0 = 14 : 5
No. of males
Total runs of males
= 98 x 43
No. of females
= 133  9 8 = 35
Total runs of females
= 35 x 24
Required ratio
D said A’s father is the only brother of my sister’s son. How is A’s father related to D?
A’s father is the nephew of D. Hence option (b) is correct.
In the given sequence how many such symbols and numbers are there which are either immediately preceded or immediately followed by the letters which is from the first half of the English alphabet?
2 L K @ 8 $ P B 1 V # 6 % G W 9 J C D 4 © 7 F R 4 A
2L, K@, B1, %G, 9J, D4, 7F, 4A,
In the following questions, find out the answer figure which completes the problem figure matrix.
Problem Figure
Answer Figure
Arrange the given words in the sequence in which they occur in the dictionary.
1. Crown
2. Custom
3. Cable
4. Cupid
5. Creep
3. Cable
5. Creep
1. Crown
4. Cupid
2. Custom
In the questions given below, some relationship has been expressed through symbols as shown below. Based on the meaning of these symbols and choose the correct answer.
ϕ means ‘less than.’
Δ means ‘not greater than.’
 means ‘equal to.’
+ means ‘not equal to.’
× means ‘not less than.’
= means ‘greater than.’
X  Y = Z implies
X  Y = Z ⇒ X = Y > Z
Using the proper notations/symbols in option (b), we get
There are two alternate series.
1st series: 5, 6, 7, 8, 9, ... and so on.
2nd series: 2 (×2), 4 (×2), 8 (×2) ... and so on.
How many hexagons are their in the figure given below?
∴ Total hexagons = CDEKLM, CEUKMQ, CFHJMQ, BEUKNP, BFHJNP = 5
‘Suma’ is shorter than ‘Uma’, ‘Neha is taller then ‘Suma’, ‘Sudha’ is taller than ‘Uma’ but shorter than ‘Hema’. ‘Uma’ is taller than ‘Neha’. Who is the tallest among them?
Neha > Suma (ii)
Hema > Sudha > Uma > Neha (iii)
On combining above statement,
Hema > Sudha > Uma > Neha > Suma
Therefore, Hema is the tallest among all.
A word is represented by only one set of numbers as given in anyone of the alternatives. Two alphabets classes represent the set of numbers given in the alternatives, as in the 2 matrices given below. The columns and rows of Matrix I are from 0 to 4 and Matrix II from 5 to 9. A letter can be represented first by its row and next by its column number. e.g., ‘C’ can be represented by 02, 21, etc. ‘T’ can be represented by 65, 96, etc. Similarly, you have to identify the set of words for ‘STAMP.’
∴ Stamp = 98, 89, 75, 23, 34
DRIVEN is related to EIDRVN in the same way as BEGUM is related to ________.
As,
Similarly,
Choose the odd one out from the given alternatives.
Select the related word from the give alternatives.
BCG : URP :: LMQ : ???
Same way,
If HOSPITAL is written as 32574618 in a certain code, how would POSTAL be written in that code ?
Three of the following four are alike in a certain way and hence form a group. Which is the one that does not belong to that group?
Here option (D) does not belong to the group.
In the question below, there are few statements followed by few conclusions. You have to take the given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusion logically follow(s) from the given statements.
Statements:
1. Some books are pens.
2. Some pens are pencils.
3. All pencils are rubber.
Conclusions:
I. Some books are pencils.
II. No book is a pencil.
Identify the diagram that best represents the relationship among Iron, Lead, Nitrogen.
Choose the correct venn diagram.
So,
In the following questions, a word is followed by five other words, one of which cannot be formed by using the letters of the given the word. Find this word
CLASSIFICATION
If in a certain code language ‘CONTROL’ is written as ‘DMQPWIS’, then how will ‘BROTHQR’ be written in that code?
Similarly,
Mohan starts walking East and walked 30 metres, then he turned right and walked 50 metres and he again turned left and walked 40 metres. Again he turned left and walked 50 metres. Now, how far is he from his starting point?
Start point is A
End point is C
AC = AB + BC
= 30 + 40
= 70 (BC = ED)
Solve the following series?
B2F, G4K, L12P, Q38U, ?
V118Z will come in place of ‘?’.
What should come at the place of question mark?
2, A, 9, B, 6, C, 13, D, ?
Here,
Series I = 2, 9, 6, 13, ?
Series II = A, B, C, D
In Series I,
A and B are sisters. R and S are brothers. A’s daughter is R’s sister. What is B’s relation to S?
Clearly B is the aunt of S.
There are two sets of figures namely problem Figure containing five figures 1, 2, 3, 4, 5 and answer figures (a), (b), (c), (d). You have to select one Figure from the answer set which will continue the same series as given in problem set figures.
Problem figure
Answer figure
Through which of the following states does the river Chambal flow?
Radcliffe Line was the boundary demarcation line between India and ___________
How many members of the Rajya Sabha retire from the house every 2 years?
Which country recently launched its first satellite for spacebased broadband to rival Google?
Which of the following sultans used to patronize MinhajusSiraj?
Whom does the President of India send his resignation if he wants to quit his office?
The book “The God of small things” is written by :
What is the rank of TCS in 100 most valuable U.S. brands
Who was the Chairman of the first Finance Commission?
Which of the following gases has the highest concentration in the atmosphere after nitrogen?
Which of the following countries has become the second country to legalize the use of cannabis?
The Qutub Minar was completed by the famous ruler.
Who has signed an MoU for establishing ROSHNICentre of Women Collectives led Social Action with Deendayal Antyodaya Yojana – National Rural Livelihood Mission (DAYNRLM) and Ministry of Rural Development?
What is the directional growth movement of a plant part in response to the touch of an object called?
Which of the following colour will scatter the most while passing through a prism?
The chemical behaviour of an atom is determined by its
Which vitamin is prepared by our body in the presence of sunlight?
Most enzymes are proteins, although a few are catalytic RNA molecules.
Carbonated water, also known as sparkling water, seltzer water, seltzer or the closely related club soda or soda water into which carbon dioxide gas under pressure has been dissolved.
Within elastic limit, the ratio of lateral strain to the linear strain is known as
The lowest frequency Range is of __________in the radio spectrum ?.
Due to which of the following are oversized holes in drilling caused?
The dimensional formula for universal gravitational constant is
= M^{–1}L^{3}T^{–2}
The lightest or least dense metal that is a pure element is lithium, which has a density of 0.534 g/cm3. This makes lithium nearly half as dense as water, so if lithium was not so reactive, a chunk of the metal would float on water.
Which one of the following nonmetals is not a poor conductor of electricity?
Modern bulbs are usually filled with a mixture of argon and nitrogen. More rarely, some bulbs are filled with pure argon, krypton, or xenon.
When the speed of electrons increases, then the value of the specific charge on an electron
Which of the following characters is not shown by hydrogen____
Hydrogen is combustible but not a supporter of combustion.
Computed tomography (CT) Scan generally uses ________?
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