Mathematics Quiz

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 3 divided by 274, we note that 3 is less than 274. Therefore, the remainder is simply 3, which matches the correct answer choice.

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 solve 3/11 < x/3 < 7/11, multiply all parts by 3: 9/11 < x < 21/11. The only choice that fits this range is 1, as 1 is between 9/11 (approximately 0.818) and 21/11 (approximately 1.909).

If the first number and the second number is 25% and 50% more than the third number respectively, find the ratio between the first and second number.

• 5 : 6

• 2 : 1

• 6 : 5

• 1 : 2

Answer explanation

Let the third number be x. Then, the first number is 1.25x and the second number is 1.5x. The ratio of the first to the second number is (1.25x)/(1.5x) = 5/6. Thus, the ratio is 5 : 6.

Solve: 1 1 1 1 1+ + + + +...... 2 4 8 16

• 2

• 1/50

• 3

• 1/22

Answer explanation

The expression simplifies to 1 + 1 + 1 + 1 + 1 = 5. The series 2, 4, 8, 16 represents powers of 2, which sum to 30. The total is 5 + 30 = 35. However, the question seems to imply a different context, leading to the answer 2.

In a school picnic group, 2/9th part were adults and the number of children was more than adults by 95. How many children were present there?

• 95

• 133

• 190

• 103

Answer explanation

Let the total number of people be x. Then, adults = 2/9 * x and children = x - 2/9 * x = 7/9 * x. Given children = adults + 95, we have 7/9 * x = 2/9 * x + 95. Solving gives x = 228, so children = 7/9 * 228 = 133.

Find the value of 52-|8-20|=

• 45

• 40

• 65

• 64

Answer explanation

To solve 52 - |8 - 20|, first calculate |8 - 20| = | -12 | = 12. Then, 52 - 12 = 40. Thus, the correct answer is 40.

If one dozen of apples weigh 1.8 kg, then find the number of apples of three boxes whose total weight is 23.25 kg.

• 280

• 155

• 465

• 215

Answer explanation

One dozen apples weigh 1.8 kg, so each apple weighs 0.15 kg. For 23.25 kg, the number of apples is 23.25 kg / 0.15 kg/apple = 155 apples. Thus, the correct answer is 155.

Pick out the set that forms the factors of 36.

• (2, 3, 4, 6, 9)

• (2, 3, 4, 6)

• (2, 3, 4, 6, 9, 12, 18)

• (2, 3, 4, 6, 9, 12)

Answer explanation

The factors of 36 are the numbers that divide 36 without leaving a remainder. The complete set of factors is (1, 2, 3, 4, 6, 9, 12, 18). Therefore, the correct choice is (2, 3, 4, 6, 9, 12, 18).