Please wait...
/
-
Arun invested a certain amount in simple interest at 10% rate of interest per annum in the first year and the rate of interest increased by 2% per annum for every year for the same principal. If the total interest received after 3 years was Rs.1080, then find the principal.
Verify mobile number to view the solution
Answer: D
SI = PNR/100
Let the principal be Rs.x
x * 10 * (1/100) + x * (10 + 2) * (1/100) + x * (10 + 2 + 2) * (1/100) = 1080
x * 10 + x * 12 + x * 14 = 1080 * 100
x = 1080 * (100/36) = 3000
The required principal amount = Rs. 3000
Pipe P alone can fill the tank in 3x minutes and pipe Q alone can fill the tank in x minutes and pipe R alone can fill the tank in 3x/2 minutes. If pipes P, Q and R together can fill half of the tank in 4 minutes, then find the time taken by pipe Q and R together can fill the tank?
Pipes P, Q and R together fill the whole tank in = 4*2 = 8 minutes
1/3x+1/x+2/3x = 1/8
(1+3+2)/3x = 1/8
6*8 = 3x
x = 48/3
x = 16
Pipe Q alone can fill the tank = 16 minutes
Pipe R alone can fill the tank = 16*3/2 = 24 minutes
Required time = 1/16+1/24 = 3/48+2/48 = 5/48 = 1/9.6 = 9.6 minutes
A bag contains 6 black balls, 9 red balls and x green balls. If two balls are drawn from the bag one after another and without replacement, the probability that both balls are green is 1/19. Find the total number of balls in the bag?
The total number of balls in the bag=6+9+ x = 15 + x
According to the question,
xC2/ (15 + x)C2 = 1/19
(x * (x – 1))/ (15 + x) (14 + x) = 1/19
19x² - 19x = 210 + 14x + 15x + x²
18x² - 48x – 210 = 0
3x² - 8x – 35 = 0
3x² - 15x + 7x – 35 = 0
3x (x – 5) + 7 (x – 5) = 0
(x – 5) (3x + 7) = 0
x = 5, -7/3 (negative value ignored)
The total number of balls in the bag = 15 + 5 = 20
The average age of 40 students is 32.5 years. If 10 students left the class, then the average age will be decreased by 6 months. Find the average age of students who left the class.
The total age of 40 students = 40 * 32.5 = 1300
The total age of 10 students = (40 – 10) * (32.5 – 0.5) = 30 * 32 =960
The average age of students who left the class = (1300 -960)/10 = 340/10 = 34 years
When 42 is added to the number ‘x’ it becomes 200% more than another number ‘y’. When 3 is subtracted from x, the ratio of x and y becomes 3:2. Find the sum of x and y.
Answer: A
x + 42 = 300y/100
x + 42 = 3y
x = 3y - 42 ----> (1)
(x – 3) / y = 3/2
2x – 6 = 3y
2x – 3y = 6 --> (2)
The value of x, apply on equation (2), we get
2 (3y – 42) – 3y = 6
6y – 84 – 3y = 6
3y = 90
y = 30
x = (3 * 30) – 42
x = 90 – 42
x = 48
The required sum = 48 + 30 = 78
The income of Arun and Yazhini are in the ratio 4:7 and their expenditure are in the ratio 6:11. If Arun saves one-third of his income, find the ratio of their savings.
Let the income of Arun and Yazhini be Rs. 4x and Rs. 7x respectively.
Let the expenditure of Arun and Yazhini be Rs. 6y and Rs. 11y respectively.
The savings of Arun = 4x * (1/3) = Rs. (4x/3)
Expenditure =Income – Savings
6y = 4x – (4x/3)
6y=8x/3
x/y=9/4
y = 4x/9
The savings of Arun = Rs. (4x – 6y)
The savings of Yazhini = Rs. (7x – 11y)
The required ratio = (4x – 6y): (7x – 11y)
= 4x – {6(4x/9)}: 7x – {11(4x/9)}
= (36x – 24x): (63x – 44x) =12:19
Directions For Questions
Read the following information carefully and answer the questions.
There are four cake shops, namely A, B, C and D, each offering two different number of flavour varieties (chocolate + vanilla). The ratio of the total number of flavors in cake shops B to C is 4:3. The total number of flavors in cake shops A and C is 50% more and 50% less than that of shop D, respectively. The number of Vanilla flavors in cake shops B and C is 110 and 60 respectively. The number of Chocolate flavors in cake shops B and C are equal. The total number of Vanilla flavors in cake shops A and D together is 410.
...view full instructions
If the ratio of the number of chocolate flavors in cake shops A to D is 10:7, then the number of chocolate flavors in cake shop B is how much percentage of the number of vanilla flavors in cake shop A?
Let the total number of flavors in cake shops B and C be 4x and 3x respectively.
Let the number of chocolate flavors in cake shops B and C be y each.
4x – y = 110 --->(1)
3x – y = 60 --->(2)
By solving equations (1) and (2), we get,
x = 50
The value of x, apply on equation (1), we get
y = 4 * 50 – 110 = 200 – 110 = 90
The total number of flavors in cake shop B = 4 * 50 = 200
The total number of flavors in cake shop C = 3 * 50 = 150
The number of chocolate flavors in cake shops B and C each = 90
The total number of flavors in cake shop D = 150 * (100/50) = 300
The total number of flavors in cake shop A = 300 * (150/100) = 450
The total number of chocolate flavors in shops A and D together = 450 + 300 – 410 = 750 – 410 = 340
The number of chocolate flavors in cake shop A = 340 * 10/(10 + 7) = 340 * (10/17) = 200
The number of vanilla flavors in cake shop A = 450 – 200 = 250
The required percentage = (90/250) * 100 = 36%
If the number of vanilla flavors in cake shop E is 25% more than that of shop C and the sum of the number of chocolate flavors in cake shops C and E together is 265, then find the total number of flavors (chocolate + vanilla) in cake shop E.
4x – y = 110 ---> (1)
3x – y = 60 ---> (2)
The number of vanilla flavors in cake shop E = 60 * (125/100) = 75
The number of chocolate flavors in cake shop E = 265 – 90 = 175
The required total = 75 + 175 = 250
Find the difference between the total number of chocolate flavors in cake shops A and D together and the total number of flavors in cake shop B.
Answer: C
The required difference = 340 – 200 = 140
If the ratio of the total number of flavors in cake shop A is (n + 1) times of the number chocolate flavors in cake shop B, then find the value of (n³/²).
Answer: B
450 = (n + 1) * 90
5 = n + 1
n = 4
The required value = 4(3/2) = 8.
Correct (-)
Wrong (-)
Skipped (-)
Time Taken: - 
Bank
SSC
Railway
State
Other
Teaching
Insurance
Medical
Engineering
Defence
GATE
NTA CUET
UPSC
MBA Entrance
LAW
JEE Advanced 2026
CUET UG 2026
NEET UG 2026
UP Police Constable 2026
SSC Selection Post (Phase 14) 2026
SSC GD 2025-26
RRB NTPC 2026
SSC CGL Tier-I 2026
SSC JE 2026
UPSC (CSE) 2026
SBI PO Prelims 2026
SSC Steno Grade C & D 2026