Dear Students!!! There is most general as well as a scoring section in all the competitive entrance examinations in the teaching field i.e “Mathematics”.
Because in this section only one thing is work i.e your accuracy and that could be nourished with the daily practice. So, for this, we are providing you the daily quiz for all teaching exams i.e CTET Exam 2018, DSSSB Exam & STET
Q1. The HCF and LCM of two numbers m and n are respectively 6 and 210. If m + n = 72 then
1/m + 1/n is equal to
Q2. The LCM of two numbers is 20 times of their HCF and (LCM + HCF) = 2520. If one number is 480, what will be the triple of another number?
Q3. What is the least number of square tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad?
Q4. Three sets of English, Mathematics and Science books containing 336, 240 and 96 books respectively should be stacked in such a way that all the books are stored subject wise and the height of each stack is the same. Total number of stacks will be
Q5. A farmer has 945 cows and 2475 sheep’s. He farms them into flocks, keeping cows and sheep separate and having the same number of animals in each flock. If these flocks are as large as possible, then the maximum number of animals in each flock and total number of flocks required for the purpose are respectively.
(a) 15 and 228
(b) 9 and 380
(c) 45 and 76
(d) 46 and 75
Q6. A milk vendor has 21 L of cow milk, 42 L of toned milk and 63 L of double toned milk. If he wants to pack them in cans, so that each can contains save liters of milk and does not want to mix any two kinds of milk in a can, then the least number of cans required, is
Q7. In a school, all the students can stand in a row, so that each row has 5, 9 or 10 students. Find the least number of students in the school.
Q8. Five bells begin to toll together at intervals of 9 s, 6 s, 4 s, 10 s and 8 s, respectively. How many times will they toll together in the span of 1 h (excluding the total at the start)?
Q9. A General can draw up his soldiers in the rows of 10, 15 or 18 soldiers and he can also draw them up in the form of a solid square. Find the least number of soldiers with the General.
Q10. The least number which is a perfect square and is also divisible by 10, 12, 15 and 18 is
Sol. Length of the floor = 15 m 17 cm
= 1517 cm
Breadth of the floor = 9 m 2 cm = 902 cm
Area of the floor = 1517 × 902 cm²
The number of square tiles will be least, when the size of each tile is maximum
Size of each tile = HCF of 1517 and 902 = 41
∴ Required number of title
= (1517×902) / (41×41) = 814
Sol. Number of books in each stack = HCF of 336, 240, 96 = 48
Now, total number of stacks
= 336/48 + 240/48 + 96/48 = 7 + 5 + 2 = 14
Sol. Maximum quantity in each can
= HCF of 21, 42 and 63 L
= 21 L
∴ Least number of cans = 21/21 + 42/21 + 63/21
= 1 + 2 + 3 = 6