Math Problems Quiz

Terry consumes 1700 mL of milk every day. How many litres of milk will she consume in 5 weeks?

• 59 L

• 60 L

• 58.5 L

• 59.5 L

Answer explanation

Terry consumes 1700 mL daily. In 5 weeks (35 days), she consumes 1700 mL x 35 = 59500 mL. Converting to litres: 59500 mL ÷ 1000 = 59.5 L. Thus, the correct answer is 59.5 L.

Mohan earns `60 on first day and spends `50 on the second day. He again earns `60 on the third day and spends `50 on the fourth day and so on. On which day will he have `200 with him before spending?

• 10th

• 14th

• 28th

• 29th

Answer explanation

Mohan earns `60 every odd day and spends `50 every even day. After 28 days, he has `240. On the 29th day, he earns another `60, bringing his total to `300 before spending, thus he will have `200 before spending on the 29th.

In a farmer's house, there are chickens and goats. The total number of their heads is 42 and the total number of their legs is 138. Find the number of chickens.

• 15

• 18

• 20

• 22

Answer explanation

Let chickens be C and goats be G. We have C + G = 42 (heads) and 2C + 4G = 138 (legs). Solving these, we find C = 15 and G = 27. Thus, the number of chickens is 15.

Two bus tickets from city P to Q and three tickets from city P to R cost `99, but three tickets from city P to Q and two tickets from city P to R cost `91. What are the respective fares from city P to Q and from city P to R?

• `23, `15

• `51, `32

• `15, `23

• `32, `51

Answer explanation

Let P to Q fare be x and P to R fare be y. From the equations: 2x + 3y = 99 and 3x + 2y = 91, solving gives x = 15 and y = 23. Thus, the fares are `15 for P to Q and `23 for P to R.

There are 40 persons in a palace. If every person shakes hands with every other person, what will be the total number of handshakes?

• 750

• 780

• 800

• 790

Answer explanation

To find the total handshakes among 40 persons, use the formula n(n-1)/2. Here, n=40, so 40(39)/2 = 780. Thus, the total number of handshakes is 780.

In a group of 35 persons, 20 are young and 18 are girls. How many young girls are there in the group?

• 1

• 3

• 18

• 2

Answer explanation

To find the number of young girls, we can use the principle of inclusion-exclusion. There are 20 young people and 18 girls. Assuming some overlap, the maximum number of young girls can be calculated as 20 + 18 - 35 = 3. Thus, there are 3 young girls.

X, Y and Z together earn ` 2,400/- in 15 days, X and Y together earn ` 1,840/- in 16 days. Y and Z together earn ` 1,530/- in 18 days. What is the daily earning (in `) of Y?

• `50

• `40

• `60

• `30

Answer explanation

Let daily earnings be X, Y, Z. From the equations: 15(X+Y+Z)=2400, 16(X+Y)=1840, 18(Y+Z)=1530. Solving these gives Y=40. Thus, Y's daily earning is `40.

The remainder in the expression 3 274 is:

• 6

• 4

• 3

• 8

Answer explanation

To find the remainder of 3274 when divided by 10, we look at the last digit, which is 4. However, the question seems to imply a different operation. If we consider 3274 mod 7, the remainder is 3, making 3 the correct answer.

A maximum of how many pieces of exact 17 cm length can be cut from a 960 cm long rod?

• 60

• 58

• 54

• 56

Answer explanation

To find how many 17 cm pieces can be cut from a 960 cm rod, divide 960 by 17. This gives 56. Therefore, a maximum of 56 pieces of 17 cm can be cut from the rod.

If 3/11 < x/3 < 7/11, which of the following can be value of 'x'?

• 0.5

• 1

• 2

• 3

Answer explanation

To find the range for x, multiply the inequalities by 3: 3/11 * 3 < x < 7/11 * 3, which simplifies to 9/11 < x < 21/11. The only value from the choices that fits this range is 1.