Multiple choice questions on Mathematics for competitive examination Test 6
This is Test 6 on Mathematics consisting of 20 questions for self check of your preparedness for the competitive examination.
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This is a set of multiple choice questions on Mathematics for competitive examination
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Sr No Question Answer Remarks 1 In Roman numbering system, 61 is written as LXI in roman numbering system 30=XXX, 40=XL, 50=L,60=LX, 100=C. Note XL=40 and LX=50 i.e. if you write in left it is subtracted and in right it is added. 2 If the HCF of two numbers is 11 and LCM is 693; and one of the number is 77, than what is the other number? 99 Formula used here is that Product of two numbers is equal to multiple of their HCF and LCM; thus answer is 11*693/77=99 3 The formula of ½*base*height is used for the measurement of the area of triangle All 4 Which one is written the correct descending order (1) 9/11 > 8/9 > 3/5 > 4/7 (2) 9/11 > 8/9 > 4/7 > 3/5 (3) 8/9 > 9/11 > 3/5 > 4/7 (4) 9/11 >3/5 > 8/9 > 4/7 3 5 A ladder of match sticks containing triangles is formed. What is the number of sticks required for making such 23 triangles? 47 The first triangle will require 3 numbers and the subsequent will only need 2 no and therefore it will make a series of 3+2(n1)= 2n+1 6 Two numbers are 20% and 40% more than the third number. What is the ratio between these two numbers? (6:7) Let the third number is x; than the first number is x+0.2x and the second number is x+0.4x and their ratio is 1.2/1.4 or 6:7 7 Solve: √[(527²473²)/6 30 Apply principle of factorisation of (ab)(a+b) and of numbers 8 The incenter of a triangle is intersecting point of the bisector of the three angles of a triangle 9 The side of a triangle are 6, 8 and 12. What will be its area? √455 As per Hero’s formula Area = √s(sa)(sb)(sc) where s=(a+b+c)/2 and we get s=13 and area √13*7*5=√455 10 Two cross roads, each of width 10 m, cut at right angles through the center of a rectangular park of length 710 m and breadth 310 m and parallel to its sides. Find the cost of growing grass in the balance area if the rate is Rs. 4500 per hectare. 94500 There are four small parks each with dimension of 350*150 and the area is 4*350*150/10000 Hectare 11 There is a narrow rectangular plot, reserved for a school, in Mahuli village. The
length and breadth of the plot are in the ratio 11:4. At the rate Rs. 100 per metre it will cost the village panchayat Rs. 75000 to fence the plot. What are the dimensions of the plot275×100 Let the multiple in the ratio to give dimension is x, than the perimeter of the plot is 2(11x+4x)=30x=750 or x=25. The dimensions of the plot is 275×100 12 Given 3√5+√125=17.88, than find √80+6√5 22.35 By solving we get 8√5=17.88 and we have to find the value of 10√5 and will be 22.35 13 Find the square root of 24336 146 The nearest two digit number the square of which is less than 243 is 15 and now the answer will be 156. 14 A man can do a piece of work in 5 days, but with the help of his son he can do it in 3 days. In what time can the son do it alone ? 15/2 days Capacity of doing work of A is 1/5 and combined capacity with his son is 1/3. The capacity of his son is 1/31/5=2/15 or 7.5 days 15 Two pipes A and B can fill a tank in 6 hours and 4 hours respectively. If they are opened on alternate hours and if pipe A is opened first, in how many hours, the tank shall be full ? 5 hrs. The capacity of filling water together is 1/6+1/4 i.e.5/12. i.e. in two hours it will 5 parts of the tank and in four hours it will fill 10 part and now balance 1/6 part will left. The pipe will fill it full in another one hour. Therefore time taken will be 5 hours 16 What is a polyhedron? it is a solid having edges and vertex Each of these solids is made up of polygonal regions which are called its faces; these faces meet at edges which are line segments; and the edges meet at vertices which are points. Such solids are called polyhedrons. 17 (2⁵ ÷ 2⁸)*2⁻⁷ (2)⁻¹⁰ 18 If the number 643X69 is divisible by 11, what is the value of X? 2 check if the alternate sum and subtraction for instance, 2728 has alternating sum of digits 27+28 = 11. Since 11 is divisible by 11, so is 2728. Similarly, for 31415, the alternating sum of digits is 31+41+5 = 10; similar in the instant case you will get 2X and X should be equal to 2 for divisibility by 11. 19 Find the factors of 4a²12ab+9b²16 (2a3b+4)(2a3b4) It is written as (ab)²c² or (ab+c)(abc) 20 Surface area of a regular cone of radius r and height h is given by πr(r+h)] [πr(r+√r²+h²)], i.e. sum of surface area of the circle and slant height l=√r²+h² 
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 Answered
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Question 1 of 20
1. Question
In Roman numbering system, 61 is written as

Question 2 of 20
2. Question
If the HCF of two numbers is 11 and LCM is 693; and one of the number is 77, than what is the other number?

Question 3 of 20
3. Question
The formula of ½*base*height is used for the measurement of the area of triangle

Question 4 of 20
4. Question
Which one is written the correct descending order (1) 9/11 > 8/9 > 3/5 > 4/7 (2) 9/11 > 8/9 > 4/7 > 3/5 (3) 8/9 > 9/11 > 3/5 > 4/7 (4) 9/11 >3/5 > 8/9 > 4/7

Question 5 of 20
5. Question

Question 6 of 20
6. Question
Two numbers are 20% and 40% more than the third number. What is the ratio between these two numbers?

Question 7 of 20
7. Question
Solve: √[(527²473²)/6

Question 8 of 20
8. Question
The incenter of a triangle is

Question 9 of 20
9. Question
The side of a triangle are 6, 8 and 12. What will be its area?

Question 10 of 20
10. Question
Two cross roads, each of width 10 m, cut at right angles through the center of a rectangular park of length 710 m and breadth 310 m and parallel to its sides. Find the cost of growing grass in the balance area if the rate is Rs. 4500 per hectare.

Question 11 of 20
11. Question
There is a narrow rectangular plot, reserved for a school, in Mahuli village. The length and breadth of the plot are in the ratio 11:4. At the rate Rs. 100 per hetre it will cost the village panchayat Rs. 75000 to fence the plot. What are the dimensions of the plot

Question 12 of 20
12. Question
Given 3√5+√125=17.88, than find √80+6√5

Question 13 of 20
13. Question
Find the square root of 24336

Question 14 of 20
14. Question
A man can do a piece of work in 5 days, but with the help of his son he can do it in 3 days. In what time can the son do it alone ?

Question 15 of 20
15. Question
Two pipes A and B can fill a tank in 6 hours and 4 hours respectively. If they are opened on alternate hours and if pipe A is opened first, in how many hours, the tank shall be full ?

Question 16 of 20
16. Question
What is a polyhedron?

Question 17 of 20
17. Question
(2⁵ ÷ 2⁸)*2⁻⁷

Question 18 of 20
18. Question
If the number 643X69 is divisible by 11, what is the value of X?

Question 19 of 20
19. Question
Find the factors of 4a²12ab+9b²16

Question 20 of 20
20. Question
Surface area of a regular cone of radius r and height h is given by
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 Help to understand job profile of NTPC vacancies advertised by…
sir how to prepare technician rrb please suggest.
The advertisement for technician post is not expected in the next two years. Therefore, you are having sufficient time to prepare. There will be only one paper as per the earlier trend and you may go through the syllabus mentioned in the last advertisement from RRB or you can see elsewhere in this website. Now read newspaper and makes notes what you think are good general awareness questions, study mathematics from class VI to VIII, study science of class IX to X standard, and study technical subjects what you have studies during your ITI. That is all. But it is the pressure of time during the exam and can be trained if you take practice mock test. Do that and if you score about 80% marks, you will succeed.