CA Foundation Maths Question Paper May 25 With Solution
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CA Foundation May 25 Suggested Answer Other Subjects Blogs :
Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
(A) 210
(B) 1050
(C) 25200
(D) 21400
Choice 'C' is correct as --
Step-by-step:
Select 3 consonants from 7 → ⁷C₃ = 35
Select 2 vowels from 4 → ⁴C₂ = 6
Total letters = 5 → can be arranged in 5! = 120 ways
Now, total words = 35 × 6 × 120 = 25,200
Seema, Bharati, Priyanka, Khusboo and Lalita are 5 speakers. The number of ways in which Seema will always speak before Bharati shall be
(A) 24
(B) 4! × 2!
(C) 5!
(D) 12
A team of 3 persons is to be constituted from a group of 2 men and 3 women. In how many ways can this be done if these teams would consist of 1 man and 2 women?
(A) 10
(B) 6
(C) 16
(D) 8
Choice 'B' is correct as --
we need to select 1 man from 2 and 2 women from 3.
Ways = ²C₁ × ³C₂ = 2 × 3 = 6 ways.
Find the sum of n terms of the A.P., whose nᵗʰ term is 5n + 1.
(A) n/ 2
(B) 2n/ 7
(C) n(7 + 5n) / 2
(D) n(7n + 4n)/ 2
Choice 'C' is correct as –
Given nᵗʰ term (Tₙ) = 5n + 1
First term (a) = put n = 1 → a = 5(1) + 1 = 6
Common difference (d) = T₂ − T₁ = (5×2 + 1) − (5×1 + 1) = 11 − 6 = 5
Sum of n terms of an A.P. is:
Sₙ = n/2 × [2a + (n − 1)d]
= n/2 × [2×6 + (n − 1)×5]
= n/2 × [12 + 5n − 5]
= n/2 × (5n + 7)
= n(5n + 7)/2 = n(7 + 5n)/2
The sum of first three terms of a G.P. is 21/2 and their product is 27. Which of the following is not a term of the G.P., if the numbers are positive?
(A) 3
(B) 2/3
(C) 3/2
(D) 6
In how many of distinct permutations of the letters in "MISSISSIPPI" when four I’s do not come together?
(A) 34650
(B) 40320
(C) 840
(D) 33810
Find the sum of series 1 + 1/2 + 1/4 + 1/8 + ... upto 6 terms.
(A) 63/32
(B) 32/63
(C) 26/53
(D) 53/26
Choice 'A' is correct as --
This is a Geometric Progression (G.P.) with:
First term (a) = 1
Common ratio (r) = 1/2
Number of terms (n) = 6
Sum of G.P. formula:
Sₙ = a × [(1 − rⁿ) ÷ (1 − r)]
S₆ = 1 × [(1 − (1/2)⁶) ÷ (1 − 1/2)]
= (1 − 1/64) ÷ (1/2)
= (63/64) ÷ (1/2) = (63/64) × 2 = 126/64 = 63/32
✅ Final Answer: 63/32
Which of the following relations is transitive but not reflexive for the set S = {3, 4, 6}?
(A) R = {(3, 4), (4, 6), (3, 6)}
(B) R = {(1, 2), (1, 3), (1, 4)}
(C) R = {(3, 3), (4, 4), (6, 6)}
(D) R = {(3, 4), (4, 3)}
If A = {1, 2, 3, 4}, B = {2, 4, 6, 8} and C = {3, 4, 5, 6}, the value of A - (B ∪ C) is
(A) {1, 2, 3}
(B) {2, 3, 4, 5}
(C) {1}
(D) {0}
Choice 'C' is correct as --
Step-by-step:
A = {1, 2, 3, 4}
B ∪ C = {2, 3, 4, 5, 6, 8}
A − (B ∪ C) = elements in A but not in B ∪ C
= {1, 2, 3, 4} − {2, 3, 4, 5, 6, 8} = {1}
The range of the function f(x) = 3x - 2 is
(A) (−∞, ∞)
(B) ℝ − {3}
(C) (−∞, 0)
(D) (0, -∞)
Find the value of lim x→4 (2x² − 2x − 8) / (x² − 4x)
(A) 0
(B) 2
(C) 8
(D) 6
Insert 4 numbers between 2 and 22 such that the resulting sequence is an Arithmetic Progression (A.P.).
(A) 4, 8, 12, 16
(B) 5, 9, 13, 17
(C) 4, 10, 15, 19
(D) 6, 10, 14, 18
Choice 'D' is correct as --
We are inserting 4 numbers between 2 and 22 to form an A.P.
That means total terms = 6 → First term (a) = 2, Sixth term = 22
Use A.P. formula:
aₙ = a + (n − 1)d
22 = 2 + (6 − 1)d
→ 22 = 2 + 5d
→ 5d = 20 → d = 4
Now insert terms:
2, 6, 10, 14, 18, 22 → inserted numbers are 6, 10, 14, 18
Determine f(x), given that f′(x) = 12x² − 4x and f(-3) = 17
(A) f(x) = 4x³ − 2x² + 143
(B) f(x) =6x³ − x4 + 137
(C) f(x) = 3x⁴ − x³ − 137
(D) f(x) = 4x³ − 2x² − 143
Choice 'A' is correct as --
Integrate f′(x) = 12x² − 4x → f(x) = 4x³ − 2x² + C
Put f(−3) = 17 ⇒ −126 + C = 17 ⇒ C = 143
So, f(x) = 4x³ − 2x² + 143
Find dy/dx where x = (e^t + e^(-t)) / 2 and y = (e^t − e^(-t)) / 2
(A) y/x
(B) x/y
(C) et / e(-t)
(D) 1/et
Choice 'B' is correct as --
Given:
x = (eᵗ + e⁻ᵗ)/2 → cosh(t)
y = (eᵗ − e⁻ᵗ)/2 → sinh(t)
Now,
dy/dt = cosh(t) = x
dx/dt = sinh(t) = y
So,
dy/dx = (dy/dt) ÷ (dx/dt) = x / y
What is the differential function of √(x² + 2)?
(A) x√(x² + 2) dx
(B) [x / √(x² + 2)] dx
(C) [x² / √(x² - 2)] dx
(D) [-x/ (x² + 2)] dx
Choice 'B' is correct as --
Let f(x) = √(x² + 2)
To differentiate:
f '(x) = d/dx [ (x² + 2)¹ᐟ² ]
= (1/2)(x² + 2)⁻¹ᐟ² × 2x = x / √(x² + 2)
So, the differential is [x / √(x² + 2)] dx.
Identify the next number in the following series: 2, 8, 26, 62, 122, 212, ______
(A) 332
(B) 338
(C) 356
(D) 362
Find the missing number in the given series: 4, 18, ______, 100, 180, 294, 448
(A) 48
(B) 52
(C) 56
(D) 64
Evaluate
(A) 104
(B) 100
(C) 10
(D) 52
In a certain code “CH4IR” is written as “GL8MV”. How is “INST4GR4M” written in that code?
(A) 4HFID8EBN
(B) 4PBW7JU8O
(C) 5R9X8KV8Q
(D) 5KF2E4GR4
A certain code “564” means “all the best”, “736” means “best of luck” and “423” means “all is luck”. Which of the following is the code for “luck”?
(A) 6
(B) 3
(C) 5
(D) 7
A man is facing North-West. He turns 90° in the clockwise direction, then 180° in the anticlockwise direction and then another 90° in the same direction. Which direction is he facing now?
(A) South
(B) South-West
(C) South-East
(D) East
Rajni walked 20 m towards the North. Then she turned right and walks 30 m. Then she turns right and walks 35 m. Then she turns left and walks 15 m. Finally she turns left and walks 15 m. In which direction and how many meters is she from the starting position?
(A) 15 m West
(B) 30 m East
(C) 30 m West
(D) 45 m East
Find the odd man out from the following: 445, 221, 109, 46, 25, 11, 5
(A) 25
(B) 46
(C) 109
(D) 221
Two cars start from the opposite places on a highway, 150 km apart. First car runs for 25 km and takes a right turn and then runs 15 km. It then turns left and then runs for another 25 km and then takes the direction back to reach the main road. In the mean time, due to minor break down the other car has run only 35 km along the main road. What would be the distance between two cars at this point?
(A) 65 km
(B) 75 km
(C) 80 km
(D) 85 km
Some boys are sitting in three rows all facing North such that A is in the middle row, P is just to the right of A but in the same row. Q is just behind of P, while R is in the North of A. In which direction of R is Q?
(A) South
(B) South-West
(C) North-East
(D) South-East
Seven persons namely H, I, J, K, M, N, O are sitting in a straight line facing North direction. Total three number of persons are sitting between H and K. Both N and H sits at extreme sides. Total two number of persons sit between H and O. M is not an immediate neighbour of H or N. I sits to the right of M. J and H both are not immediate neighbours. M is also not an immediate neighbour of J. Who is sitting between H and M?
(A) J
(B) O
(C) I
(D) K
At a crossing, there was a direction pole, which was showing all the four correct directions. But due to the wind, it turns in such a manner that now West points in the place of South. Harish went in the wrong direction thinking that he was travelling East. In which direction was he actually travelling?
(A) South
(B) North
(C) West
(D) East
In a class, there are seven students (including boys and girls) A, B, C, D, E, F and G. They sit on three benches I, II and III, such that at least two students on each bench and at least one girl on each bench. C who is a girl student, does not sit with A, E and D. F the boy student sits with D. B sits on the bench I with his best friends. G sits on the bench III. E is the brother of C.
Which of the following is the group of girls?
(A) BCG
(B) BFC
(C) BCD
(D) CDF
Five boys A, B, C, D and E are sitting in a row. A is to the right of B and E is to the left of B but to the right of C. A is to the left of D. Who is second from the left end?
(A) D
(B) A
(C) B
(D) E
Six friends P, Q, R, S, T and U are sitting around the hexagonal table each at one corner and are facing the centre of the hexagon. P is second to the left of U. Q is neighbour of R and S. T is second to the left of S.
Which one is sitting opposite to P?
(A) R
(B) Q
(C) T
(D) S
A, B, C, D and E are sitting on a bench. A is sitting next to B, C is sitting next to D. D is not sitting with E who is on the left end of the bench. C is on the second position from the right. A is to the right of B and E, and A and C are sitting together. In what position A is sitting?
(A) Between B and D
(B) Between B and C
(C) Between E and D
(D) Between C and E
Pointing to a photograph, Rajesh said, “He is Aarav and he is the son of the only daughter of the father of my brother”, how is Rajesh related to the Aarav referred in the photograph?
(A) Nephew
(B) Brother
(C) Father
(D) Maternal Uncle
Study the following information carefully:
A3P means A is the mother of P.
A4P means A is the brother of P.
A9P means A is the husband of P.
A5P means A is the daughter of P.
Which of the following means that K is the mother-in-law of M?
(A) M9N3K4J
(B) M9N5K3J
(C) K5J9M3N
(D) K3J9N4M
Q, W, E, R, T and Y are members of a family consisting of two children, one of whom is T is a boy. Q and R are brothers and Q is an engineer. E is a doctor married to one of the brothers. W is married to R, and Y is their only child. How T is related to Q?
(A) Father
(B) Brother
(C) Nephew
(D) Cousin
K is the son of A’s mother’s sister. Q is daughter of D, who is the father of G and grandfather of A. P is the daughter of H, who is grandmother of K. D is husband of H and G is husband of L. How is L related to Q?
(A) Mother
(B) Sister
(C) Daughter
(D) Cousin
If “A # B” means A is father of B, “A * B” means A is brother of B, “A @ B” means A is mother of B, then which of the following is correct about G @ T # P?
(A) G is mother of P
(B) P is father of T
(C) T is son of G
(D) P is brother of T
Frequency density corresponding to a class interval for the continuous frequency distribution, is the ratio of:
(A) Class frequency to the total frequency
(B) Class frequency to the class length
(C) Class length to the class frequency
(D) Class frequency to the cumulative frequency
The curve obtained by joining the points, whose X co-ordinates are the upper limits of the class intervals and Y co-ordinates are corresponding cumulative frequencies, is called:
(A) Ogive
(B) Histogram
(C) Frequency polygon
(D) Frequency curve
The following data relate to the wages of a group of workers:
|
Wages (in ₹) |
Below 100 |
Below 200 |
Below 300 |
Below 400 |
|
No. of workers |
15 |
38 |
65 |
90 |
How many workers got wages more than ₹300?
(A) 25
(B) 65
(C) 90
(D) 27
The mode of a continuous frequency distribution can be determined graphically from:
(A) By using Histogram
(B) By using frequency polygon
(C) By using ogive
(D) By using frequency curve
A population comprises 5 members. The number of possible samples of size 2r that can be drawn from it with replacement is:
(A) 100
(B) 15
(C) 125
(D) 25
Which of the following statements about simple random sampling is NOT true?
(A) Simple random sampling ensures that each unit in the population has an equal chance of being selected.
(B) In simple random sampling with replacement, each selected unit is replaced to the population before the next unit is drawn.
(C) Simple random sampling is highly effective when the population is very large and heterogeneous.
(D) In a simple random sampling without replacement, a unit is selected, it will never be selected again.
A frequency curve which starts with a minimum frequency and then gradually reaches its maximum frequency at the other extremity is known as:
(A) Bell-shaped curve
(B) Mixed curve
(C) U-shaped curve
(D) J-shaped curve
The law of statistical regularity says that:
(A) Sample drawn from the population under discussion possesses the characteristics of population.
(B) A large sample drawn at random from the population would possess the characteristics of the population.
(C) A large sample drawn at random from the population would possess the characteristics of the population on an average.
(D) An optimum level of efficiency can be attained at a minimum cost.
A helicopter flies from A to B at the rate of 500 km/hr. and comes back at the rate 700 km/hr. The average speed of the helicopter is:
(A) 600 km/hr.
(B) 583.33 km/hr.
(C) 100√35 km/hr.
(D) 620 km/hr.
If Arithmetic Mean (A.M.) and Geometric Mean (G.M.) of two numbers are 6.50 and 6 respectively, then the two numbers are:
(A) 6 and 7
(B) 9 and 4
(C) 10 and 3
(D) 8 and 5
Which of the following is not a method of dispersion?
(A) Standard deviation
(B) Mean deviation
(C) Range
(D) Concurrent deviation method
Find out co-efficient of variation, if N = 14, Σx = 280 and σ (S.D.) = 3.
(A) 20
(B) 15
(C) 4.67
(D) Zero
The monthly profit/loss for six months of the firm is as under:
|
Months |
January |
February |
March |
April |
May |
June |
|
Profit/loss (in ₹) |
1,000 |
900 |
0 |
−200 |
−400 |
2,000 |
The co-efficient range of the above data is:
(A) 122
(B) 150
(C) 33.33
(D) 55.55
In tabulation, source of data, if any, is shown in the
(A) Footnote
(B) Body
(C) Stub
(D) Caption
If the mean of the following frequency distribution is 2.6, then the value of Y is:
|
Marks (X) |
1 |
2 |
3 |
4 |
5 |
|
No. of Students (f) |
8 |
10 |
Y |
2 |
4 |
(A) 16
(B) 6
(C) 26
(D) 12
Which one of the following measures of central tendency is based on only fifty percent (50%) of the central values?
(A) Geometric Mean
(B) Harmonic Mean
(C) Median
(D) Mode
The Arithmetic Mean (A.M.) and mode of the data are 32 and 26, respectively, then find the median of the data.
(A) 30
(B) 12
(C) 6
(D) 29
Find out the mode from the following data:
100, 110, 125, 225, 325, 125, 90, 80, 455, 375, 125
(A) 325
(B) 110
(C) 455
(D) 125
Which one of the following is the absolute measure of dispersion for open ended distributions?
(A) Range
(B) Standard deviation
(C) Mean deviation
(D) Quartile deviation
A number is selected from the first 20 natural numbers. Find the probability that it would be divisible by 3 or 7.
(A) 7/20
(B) 12/37
(C) 24/67
(D) 8/20
A father had three sons namely, Kailash, Harish and Prakash. All are above 65 years in age. Prakash happens to be the eldest while Kailash as youngest. As per the health history, it is estimated that the probability that Kailash survives another 5 years is 4/5, Harish survives another 5 years is 3/5 and Prakash survives another 5 years is 1/2. The probabilities that Kailash and Harish survive another 5 years is 0.46, Harish and Prakash survive another 5 years is 0.32 and Kailash and Prakash survive another 5 years is 0.48. The probability that all three sons survive another 5 years is 0.26. What shall be the probability that at least one of them survives another 5 years?
(A) 0.78
(B) 0.72
(C) 7/10
(D) 9/10
Two dice are thrown simultaneously. Find the probability that the sum of digits on the two dice would be 8 or more.
(A) 5/18
(B) 5/12
(C) 5/36
(D) 7/12
Two cards are drawn from a pack of 52 cards. The probability that one is a spade and one is a heart is:
(A) 3/20
(B) 29/34
(C) 47/100
(D) 13/102
Choice (D) is correct
Explanation:
Number of ways to choose 2 cards from 52 cards = 52C2 = 1326
Favorable outcomes = Ways to choose 1 spade and 1 heart
= 13C1 × 13C1 = 13 × 13 = 169
Probability = 169 / 1326 = 13 / 102
A problem is given to 5 students P, Q, R, S and T. If the probability of solving the problem individually is 1/2, 1/3, 2/3, 1/5 and 1/6 respectively, then find the probability that the problem is solved.
(A) 0.47
(B) 0.93
(C) 0.57
(D) 0.27
Choice (B) is correct
Explanation:
Let the probabilities that each student fails to solve the problem be:
P: 1 − 1/2 = 1/2
Q: 1 − 1/3 = 2/3
R: 1 − 2/3 = 1/3
S: 1 − 1/5 = 4/5
T: 1 − 1/6 = 5/6
Probability that none of them solves the problem:
= (1/2) × (2/3) × (1/3) × (4/5) × (5/6) = 40 / 540 = 2 / 27
So, probability that at least one solves the problem:
= 1 − 2/27 = 25 / 27 ≈ 0.93
In a leap year, what is the probability that there will be 53 Sundays?
(A) 53/365
(B) 1/7
(C) 3/7
(D) 2/7
Poisson probability distribution is appropriately applied in:
(A) The height of students in the university.
(B) The distribution of passing of students in university examinations.
(C) Tossing of a coin hundred times.
(D) Number of deaths by a rare disease
In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected is:
(A) 21/46
(B) 25/17
(C) 1/50
(D) 3/25
Choice (A) is correct
Explanation:
Total students = 15 boys + 10 girls = 25
We want the probability of selecting 1 girl and 2 boys out of 3 selected students.
Favorable outcomes = 10C1 × 15C2 = 10 × 105 = 1050
Total outcomes = 25C3 = 2300
Probability = 1050 / 2300 = 21/46
What is the probability of making 3 corrected guesses in 5 True-False answer type questions?
(A) 0.3125
(B) 0.4156
(C) 1.3888
(D) 0.5235
If 5% of the families in large population city do not use gas as a fuel, what will be the probability of selecting 10 families in a random sample of 100 families who do not use gas as a fuel?
[Given that e⁻⁵ = 0.0067]
(A) 0.038
(B) Zero
(C) 0.018
(D) 0.048
Choice (C) is correct
Explanation:
This is a Poisson distribution problem since the probability is small (5%) and the number of trials is large (n = 100).
Let X = number of families not using gas.
Here, mean λ = np = 100 × 0.05 = 5
We need P(X = 10):
P(X = 10) = (e−5 × 510) / 10!
= (0.0067 × 9765625) / 3628800 ≈ 0.018
The correlation co-efficient between X and Y is 0.8. If we add a number 10 in the X variable and subtracted 20 from Y variable, then the new correlation co-efficient will be:
(A) 0.4
(B) 0.6
(C) 0.9
(D) 0.8
When both the regression co-efficients are bₓᵧ = 0.7 and bᵧₓ = 0.8 respectively, then correlation co-efficient between x and y is:
(A) 0.75
(B) 0.56
(C) 0.28
(D) 0.87
If the points of inflexion of a normal curve are 6 and 14, then standard deviation of the distribution is:
(A) 4
(B) 8
(C) 9.17
(D) 32
If r = 0.7, then co-efficient of non-determination is:
(A) 0.49
(B) 0.51
(C) Zero
(D) 0.71
Choice (B) is correct
Explanation:
The coefficient of non-determination is given by:
= 1 − r²
Given r = 0.7 ⇒ r² = 0.49
Coefficient of non-determination = 1 − 0.49 = 0.51
Given x = 2y + 4 and y = kx + 6 are the two lines of regression x on y and y on x respectively. If the value of correlation co-efficient (r) is 0.5, then the value of k is:
(A) 1/8
(B) 1/4
(C) 1/3
(D) ½
Choice (A) is correct
Explanation:
Given: Regression equation of x on y: x = 2y + 4 → bxy = 2
Regression equation of y on x: y = kx + 6 → byx = k
Correlation coefficient r = 0.5
We know r² = bxy × byx
⇒ (0.5)² = 2 × k
⇒ 0.25 = 2k
⇒ k = 1/8
If Σpₙqₙ = 249, Σp₀q₀ = 150, Σpₙq₀ = 145 and Paasche’s Index Number = 150, then Fisher’s Ideal Price Index Number is:
(A) 75
(B) 126.9
(C) 120.62
(D) 171
From the following data, find out an Index number for 2022 taking 2021 as base (using simple aggregative method):
|
Commodities |
Price in 2021 |
Price in 2022 |
|
A |
80 |
120 |
|
B |
220 |
200 |
|
C |
300 |
400 |
Options:
(A) 100
(B) 120
(C) 108
(D) 190
For 9 college students group, the sum of squares of differences in ranks for History and Hindi marks was found to be 62, then what is the value of rank correlation co-efficient?
(A) 1
(B) 0.48
(C) 0.52
(D) 0.87
The prices of a commodity in the years 2015 and 2020 were 50 and 60 respectively. Price relative of 2015 on 2020 is:
(A) 100
(B) 110
(C) 83.33
(D) 120
Chain Index is equal to:
(A) (link relative of current year × chain index of current year) / 100
(B) (link relative of previous year × chain index of current year) / 100
(C) (link relative of current year × chain index of previous year) / 100
(D) (link relative of previous year × chain index of previous year) / 100
From the following chain base index numbers based on 2015, find out new chain base index number for the year 2022 by shifting the base year 2019.
|
Years |
2015 |
2016 |
2017 |
2018 |
2019 |
2020 |
2021 |
2022 |
|
Index No. |
100 |
105 |
95 |
85 |
120 |
110 |
130 |
150 |
|
(Base 2015) |
(A) 125
(B) 180
(C) 100
(D) 150
The sum of three numbers is 98. If the ratio of the first to second number is 2 : 3 and that of the second to third is 5 : 8, then the second number is:
(A) 20
(B) 30
(C) 48
(D) 58
If log (a + b / 4) = 1/2 (log a + log b), then the value of (a / b + b / a) will be:
(A) 12
(B) 14
(C) 16
(D) 8
If 4ˣ = 5ʸ = 20ᶻ, then z is equal to:
(A) xy
(B) (x + y) / xy
(C) 1 / xy
(D) xy / (x + y)
If ₹ 58 is divided among 150 children such that each girl and each boy gets 25p and 50p respectively. Then how many girls are there?
(A) 52
(B) 54
(C) 68
(D) 62
A startup business was initiated by an entrepreneur by investing ₹ 1,40,000. His friend joined him after six months with an amount of ₹ 2,10,000. Thereafter an angel investor joined them with ₹ 2,80,000 after another six months. What should be the ratio of distribution of total earnings, three years since beginning of business among entrepreneur, his friend and angel investor?
(A) 7 : 6 : 10
(B) 12 : 15 : 16
(C) 42 : 45 : 56
(D) 2 : 3 : 4
The quadratic equation 2x² – √5x + 1 = 0 has
(A) Two distinct real roots
(B) Two equal real roots
(C) No real roots
(D) More than two real roots
For equation x³ – 6x² + 5x + 12 = 0, the product of two roots is 12. Which of the following is correct set of roots of the equation?
(A) 1, –3, –4
(B) 1, 6, 2
(C) –1, 3, 4
(D) –1, –6, –2
On solving the inequalities 6x + y ≥ 18, x + 4y ≥ 12, 2x + y ≥ 10; which of the following are correct solutions?
(A) (0, 18), (12, 0), (4, 2) and (2, 6)
(B) (3, 0), (0, 3), (4, 2) and (7, 6)
(C) (5, 0), (0, 10), (2, 4) and (2, 6)
(D) (0, 18), (12, 0), (4, 2) and (0, 7)
The longest side of a triangle is 2 times the shortest side and the third side is 4 cm shorter than the longest side. If the perimeter of the triangle is at least 61 cm, find the minimum length of the shortest side.
(A) 7 cm
(B) 9 cm
(C) 11 cm
(D) 13 cm
Puru gets on the elevator at the 11th floor of a building and rides up at the rate of 57 floors per minute. At the same time, Ishu gets on an elevator at the 51st floor of the same building and rides down at the rate of 63 floors per minute. If they continue travelling at these rates, then at which floor will their paths cross?
(A) 17
(B) 19
(C) 27
(D) 30
here is 60% increase in amount in 6 years at simple interest. What will be the compound interest of ₹ 12,000 after three years at the same rate?
(A) ₹ 2,160
(B) ₹ 3,120
(C) ₹ 3,972
(D) ₹ 6,240
The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half-yearly is:
(A) 6.06%
(B) 6.07%
(C) 6.08%
(D) 6.09%
The compound interest on a certain sum for 2 years at 10% per annum is ₹ 525. The simple interest on the same sum for double the time at half the rate percent per annum is:
(A) ₹ 400
(B) ₹ 500
(C) ₹ 600
(D) ₹ 800
Find the future value of an investment of ₹ 7,000 compounded quarterly at 10% per annum for 3 years.
[Given that (1.025)¹² = 1.34489]
(A) ₹ 9,414.20
(B) ₹ 7,435.73
(C) ₹ 7,941.42
(D) ₹ 8,000.00
A sum of ₹ 725 is lent in the beginning of a year at a certain rate of simple interest. After 8 months, a sum of ₹ 362.50 more is lent but at the rate twice the former. At the end of the year, ₹ 33.50 is earned as interest from both the loans. What was the original rate of interest?
(A) 3.6%
(B) 4.54%
(C) 3.46%
(D) 4
Shiv deposits ₹ 10,000 annually in a bank for 5 years, at 10 percent annual compounding interest rate. Calculate the approximate value of this series of deposits at the end of five years, if each deposit occurs at the beginning of the year.
(A) ₹ 61,050
(B) ₹ 67,156
(C) ₹ 71,050
(D) ₹ 77,160
If you deposit ₹ 4,000 into an account paying 6% annual interest compounded quarterly, how much approximate money will be in the account after 5 years?
[Given that (1.015)²⁰ = 1.34489]
(A) ₹ 3387.42
(B) ₹ 4387.42
(C) ₹ 5387.42
(D) ₹ 6387.42
Relationship between annual nominal rate of interest and annual effective rate of interest, if frequency of compounding is greater than one:
(A) Effective rate < Nominal rate
(B) Effective rate > Nominal rate
(C) Effective rate = Nominal rate
(D) Effective rate = 0.9 times Nominal rate
Madhu invests ₹ 15,000 in a scheme and at the time of maturity the amount became ₹ 25,000. If CAGR for this investment is 8.88%, calculate the approximate number of years for which she has invested the amount.
[Given that log(1.667) = 0.2219 and log(1.0889) = 0.037]
(A) 6 years
(B) 7.7 years
(C) 5.5 years
(D) 7 years
Raju will pay instalments of ₹ 3,150 per month for the next 3 years towards his loan at an interest rate 12.4%, discounted monthly. What was the approximate amount of loan taken initially?
[Given that (1.01033)³⁶ = 1.4481]
(A) ₹ 13,683.60
(B) ₹ 9,742.29
(C) ₹ 94,345.17
(D) ₹ 74,158.24
Dinesh received a cash bonus of ₹ 1,00,000 which he deposited in a bank which pays 10 percent interest compounded annually. How much approximate equal amount can Dinesh withdraw annually for a period of 10 years?
[Given that (1.1)10 = 2.59374]
(A) ₹ 16,273
(B) ₹ 38,554
(C) ₹ 62,745
(D) ₹ 32,474
Find the approximate future value of an annuity due of ₹ 500 per quarter for 8 years and 9 months at the interest rate of 6% compounded quarterly.
[Given that (1.015)35 = 1.6839]
(A) ₹ 13,740.86
(B) ₹ 29,428.23
(C) ₹ 56,971.95
(D) ₹ 22,796.66
A project is expected to provide cash inflows as follows for 3 years:
|
Year |
1 |
2 |
3 |
|
Cash inflows(₹) |
40,000 |
50,000 |
30,000 |
The company’s cost of capital or required rate of return is 15%. What is the present value of cash inflows of the company?
(A) ₹ 99,240
(B) ₹ 1,02,840
(C) ₹ 1,12,640
(D) ₹ 92,315
How much approximate amount should you save annually to accumulate ₹ 20,00,000 by the end of 12 years, if the saving earns an interest of 14 percent compound annually?
[Given that (1.14)12 = 4.8179]
(A) ₹ 4,15,118
(B) ₹ 5,23,848
(C) ₹ 73,339
(D) ₹ 1,11,200
Ruchika Saboo
An All India Ranker (AIR 7 - CA Finals, AIR 43 - CA Inter), she is one of those teachers who just loved studying as a student. Aims to bring the same drive in her students.
Ruchika Ma'am has been a meritorious student throughout her student life. She is one of those who did not study from exam point of view or out of fear but because of the fact that she JUST LOVED STUDYING. When she says - love what you study, it has a deeper meaning.
She believes - "When you study, you get wise, you obtain knowledge. A knowledge that helps you in real life, in solving problems, finding opportunities. Implement what you study". She has a huge affinity for the Law Subject in particular and always encourages student to - "STUDY FROM THE BARE ACT, MAKE YOUR OWN INTERPRETATIONS". A rare practice that you will find in her video lectures as well.
She specializes in theory subjects - Law and Auditing.
Yashvardhan Saboo
A Story teller, passionate for simplifying complexities, techie. Perfectionist by heart, he is the founder of - Konceptca.
Yash Sir (As students call him fondly) is not a teacher per se. He is a story teller who specializes in simplifying things, connecting the dots and building a story behind everything he teaches. A firm believer of Real Teaching, according to him - "Real Teaching is not teaching standard methods but giving the power to students to develop his own methods".
He cleared his CA Finals in May 2011 and has been into teaching since. He started teaching CA, CS, 11th, 12th, B.Com, M.Com students in an offline mode until 2016 when Konceptca was launched. One of the pioneers in Online Education, he believes in providing a learning experience which is NEAT, SMOOTH and AFFORDABLE.
He specializes in practical subjects – Accounting, Costing, Taxation, Financial Management. With over 12 years of teaching experience (Online as well as Offline), he SURELY KNOWS IT ALL.
"Koncept perfectly justifies what it sounds, i.e, your concepts are meant to be cleared if you are a Konceptian. My experience with Koncept was amazing. The most striking experience that I went through was the the way Yash sir and Ruchika ma'am taught us in the lectures, making it very interesting and lucid. Another great feature of Koncept is that you get mentor calls which I think drives you to stay motivated and be disciplined. And of course it goes without saying that Yash sir has always been like a friend to me, giving me genuine guidance whenever I was in need. So once again I want to thank Koncept Education for all their efforts."
"Hello everyone, I am Kaushik Prajapati. I recently passed my CA Foundation Dec 23 exam in first attempt, That's possible only of proper guidance given by Yash sir and Ruchika ma'am. Koncept App provide me a video lectures, Notes and best thing about it is question bank. It contains PYP, RTP, MTP with soloution that help me easily score better marks in my exam. I really appericiate to Koncept team and I thankful to Koncept team."
"Hi. My name is Arka Das. I have cleared my CMA Foundation Exam. I cleared my 12th Board Exam from Bengali Medium and I had a very big language problem. Koncept Education has helped me a lot to overcome my language barrier. Their live sessions are really helpful. They have cleared my basic concepts. I think its a phenomenal app."
"I cleared my foundation examination in very first attempt with good marks in practical subject as well as theoretical subject this can be possible only because of koncept Education and the guidance that Yash sir has provide me, Thank you."
