Mathematics Mcqs | Problems on L.C.M and H.C.F

Find the least number which when divide by 2, 3, 4, 5 and 6 leaves 1, 2, 3, 4 and 5 as remainders respectively, but when divided by 7 leaves no remainder?

Byadmin July 12, 2019August 4, 2021

Find the least number which when divide by 2, 3, 4, 5 and 6 leaves 1, 2, 3, 4 and 5 as remainders respectively, but when divided by 7 leaves no remainder?

A. 210
B. 119
C. 126
D. 154

Mathematics Mcqs | Probability

If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is__________?

If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is__________?

A. 1/4
B. 1/2
C. 3/4
D. 3/5
The number of exhaustive outcomes is 36.
Let E be the event of getting an even number on one die and an odd number on the other. Let the event of getting either both even or both odd then = 18/36 = 1/2
P(E) = 1 – 1/2 = 1/2.

Read More If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is__________?
Areas | Mathematics Mcqs

A tank is 7m long and 4m wide at what speed should water run through pipes 5cm broad and 4cm deep so that in 6 hours and 18 minutes, the water level in the tank rises by 4.5cm?

A tank is 7m long and 4m wide at what speed should water run through pipes 5cm broad and 4cm deep so that in 6 hours and 18 minutes, the water level in the tank rises by 4.5cm?

A. 12km/hr
B. 10km/hr
C. 14km/hr
D. None of these

Read More A tank is 7m long and 4m wide at what speed should water run through pipes 5cm broad and 4cm deep so that in 6 hours and 18 minutes, the water level in the tank rises by 4.5cm?
Mathematics Mcqs | Simple Equations

P, Q and R have Rs.6000 among themselves. R has two-thirds of the total amount with P and Q. Find the amount with R?

P, Q and R have Rs.6000 among themselves. R has two-thirds of the total amount with P and Q. Find the amount with R?

A. Rs.3000
B. Rs.3600
C. Rs.2400
D. Rs.4000
E. None of these
Explanation:
Let the amount with R be Rs.r
r = 2/3 (total amount with P and Q)
r = 2/3(6000 – r) => 3r = 12000 – 2r
=> 5r = 12000 => r = 2400.

Read More P, Q and R have Rs.6000 among themselves. R has two-thirds of the total amount with P and Q. Find the amount with R?
Mathematics Mcqs | Ratio and Proportion

M:N = 3:4, N:O = 5:7 and O:P = 7:9. Then M:P =________?

M:N = 3:4, N:O = 5:7 and O:P = 7:9. Then M:P =________?

A. 1/3
B. 7/9
C. 5/12
D. None of these
M/P = M/N * N/O * O/P = ¾ * 5/7 * 7/9 = 5/ 12

Read More M:N = 3:4, N:O = 5:7 and O:P = 7:9. Then M:P =________?
Mathematics Mcqs | Partnership

A and B invests Rs.8000 and Rs.9000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year?

A and B invests Rs.8000 and Rs.9000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they the profits at the end of the year?

A. 20:23
B. 34:43
C. 32:45
D. 37:45
Explanation:
A : B
(8000*4)+(4000*8) : (9000*6)+(6000*6)
64000 : 90000
32 : 45

Read More A and B invests Rs.8000 and Rs.9000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year?
Mathematics Mcqs | Mensuration

An order was placed for the supply of a carper whose length and breadth were in the ratio of 3 : 2. Subsequently, the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its parameter. Find the ratio of the areas of the carpets in both the cases.

An order was placed for the supply of a carper whose length and breadth were in the ratio of 3 : 2. Subsequently, the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its parameter. Find the ratio of the areas of the carpets in both the cases.

A. 4 : 3
B. 8 : 7
C. 4 : 1
D. 6 : 5
Let the length and breadth of the carpet in the first case be 3x units and 2x units respectively.
Let the dimensions of the carpet in the second case be 7y, 3y units respectively.
From the data,.
2(3x + 2x) = 2(7y + 3y)
=> 5x = 10y
=> x = 2y
Required ratio of the areas of the carpet in both the cases
= 3x * 2x : 7y : 3y
= 6×2 : 21y2
= 6 * (2y)2 : 21y2
= 6 * 4y2 : 21y2
= 8 : 7

Read More An order was placed for the supply of a carper whose length and breadth were in the ratio of 3 : 2. Subsequently, the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its parameter. Find the ratio of the areas of the carpets in both the cases.