Questions
Amar travels a distance of 60 km in 4 hours and Aman travels a distance of 50 km in 5 hours. What is the difference in the travelling speeds of Amar and Aman (in km per hour)?
- 5 km per hour
- 10 km per hour
- 6 km per hour
- 15 km per hour
- 12 km per hour
In a mixture of 220 litres, the ratio of sugar to salt to water is 2 : 3 : 5. What is the total quantity of sugar and salt?
- 66 litres
- 110 litres
- 111 litres
- 154 litres
- 44 litres
A sum of Rs. 540 is to be divided among Anu, Bhanu and Charu in the ratio 2 : 3 : 4. How much do Anu and Charu get in total?
- Rs. 360
- Rs. 350
- Rs. 270
- Rs. 300
- Rs. 180
If there are 2/3rd boys in a class of 75 students, and the rest are girls, then find the difference in the number of boys and girls in the class.
- 20
- 25
- 50
- 30
- 15
Raj bought 6 sharpeners and 8 erasers for Rs. 56. The price of each sharpener is Re. 1 more than twice the price of each eraser. What is the cost price of three sharpeners and two erasers, respectively?
- Rs. 18 and Rs. 5
- Rs. 6 and Rs. 2.50
- Rs. 12 and Rs. 7.50
- Rs. 18 and Rs. 7.50
- Rs. 12 and Rs. 5
Calculate the value of (4x – 3) from the equation 3(2x + 1) = 7.
- 2/3
- -1/3
- 8/3
- -2
- 17/3
The number 3, when subtracted from the product of the rational number and another number x, gives twice the rational number as the result. Which equation represents the given information?
- x/5 - 3 = 1/4
- 3 - x/5 = 2/4
- x/5 - 3 = 1/8
- x/5 - 3 = 2/4
- x/5 - 3 = 1/4 - 2
Which of the following options represents the correct pair of statements?
Statement 1 : 6x - 13 = 23 is a linear equation in one variable.
Statement 2 : 5x + 9 = 14 is a linear equation in one variable.
Statement 3 : 4 × 3 = 12 is a linear equation in one variable.
Statement 4 : a = m - 4 is a linear equation in one variable.
- Only 1 and 2
- Only 2 and 3
- Only 3 and 4
- Only 1 and 4
- Only 2 and 4
Calculate the value of (5x + 2) from the equation 2 (3x - 4) = 6.
- 3/2
- 41/3
- 15/2
- 8
- 11/2
Which of the following statements is incorrect?
- The product of five positive integers is positive.
- The product of two positive integers and five negative integers is negative.
- The product of two negative integers is negative.
- The product of two negative integers and five positive integers is positive.
- The product of three positive integers and five negative integers is negative.
In a Mathematics quiz, Rahul got four statements, out of which, he needed to identify the incorrect statement. If the identification of every wrong statement earned him 1 point, which of the following statements did he choose?
- Subtraction is commutative for integers.
- Integers are closed under addition.
- Addition is associative for integers
- Integers are closed under subtraction.
- Integers are closed under multiplication.
Shantanu appeared for a Maths quiz comprising of 30 questions. In the quiz, 4 marks were awarded for each correct answer, 2 marks were deducted for each wrong answer and 1 mark was deducted for each unattempted question. Shantanu attempted 19 questions and got 5 of them incorrect. How many marks did Shantanu score in the quiz?
- 44
- 46
- 35
- 29
- 20
The perimeter of a rectangular whiteboard is 14 m and its width is a m. What would be the perimeter of a new whiteboard whose length is 2 m more than the length of the older whiteboard?
- 18 m
- 9 m
- 22 m
- 10 m
- 16 m
Which of the following expressions is correct?
- (-81)/[(-3) x (-3)] = 9
- (-48)/[(-9) + 7] = -24
- (-24)/[(-6)/(-1)] = -4
- [(-6)/(-3) ]/[(-7) - (-1)] = -12
- -4 + (-24)/[(-2) x (-2)] = -7
Which of the following expressions is equivalent to the expression 7 × (-14) + 6 × (-7)?
- (-7) × 8
- (-7) × 20
- (14) × (-20)
- (14) × (-8)
- (13) × (-21)