Maths Questions for CTET,KVS Exam : 12 november 2018

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 ,KVS,STET Exam.


Q1. Average age of a team having 12 players is 23 years. If the age of the coach is also included, then the average age increases by 2 years. What is the age (in years) of the coach?
(a) 41
(b) 47
(c) 49
(d) 51

Q2. An item is sold at two successive gains of 30% and 20%. If the final selling price is Rs 31200, then what is the cost price (in Rs)?
(a) 15000
(b) 20000
(c) 22250
(d) 24000

Q3. The number of trees in a town is 17640. If the numbers of trees increases annually at the rate of 5%, then how many trees were there 2 years ago?
(a) 14000
(b) 15000
(c) 16000
(d) 19450

Q4. Aman and Kapil starts from Delhi and Gwalior respectively towards each other at same time. They meet at Mathura and then take 196 minutes and 225 minutes respectively to reach Gwalior and Delhi. If speed of Aman is 30 km/hr, then what is the speed (in km/hr) of Kapil?
(a) 28
(b) 30
(c) 225/7
(d) 392/15

Q5. The simple interest on a sum of money for 10 years is Rs 3130. If the principal becomes 5 times after 5 years, then what will be the total interest (in Rs) obtained after 10 years?
(a) 6260
(b) 7825
(c) 9390
(d) 15650

Q7. If 2x + (9/x) = 9, then what is the minimum value of x² + (1/x²)?
(a) 95/36
(b) 97/36
(c) 86/25
(d) 623/27

Q8. If (5x – y)/(5x + y) = 3/7, then what is the value of (4x² + y² – 4xy)/(9x² + 16y² + 24xy)?
(a) 0
(b) 3/7
(c) 18/49
(d) 1/6

Q9. If (x + y)² = xy + 1 and x³ – y³ = 1, then what is the value of x – y?
(a) 1
(b) 0
(c) –1
(d) 2

Solutions

S1. Ans.(c)
Sol. Req. age of coach = 13 × 25 – 12 × 23 = 49

S2. Ans.(b)
Sol. Successive gain% =[30+20+(30×20)/100]=56%
So, find selling price, 156% = 31200
So, cost price =31200/156×100 = 20000

S3. Ans.(c)
Sol. No. of tree = 17640
For 2 year ago 5% per annum
=17640×100/105×100/105
= 16000


S5. Ans.(c)
Sol. SI for 10 year = 3130
& given that principal becomes 5 times after 5 years
P×r×t/100 =3130
Pr/100=313
ATQ,
Total SI = P×r×5/100 + 5P×r×5/100
= Pr/100(5+25) = 313×30 = 9390

S6. Ans.(d)
Sol. 11/x-13+11/y-13+11/z-13=4
11 (1/x+1/y+1/z)=44
1/x+1/y+1/z=4

S9. Ans.(a)
Sol. (x + y)² = xy + 1..(i)
x³ – y³ = 1..(ii)
⇒ x² + y² + 2xy = xy + 1
⇒ x² +y² + xy = 1…(iii)
⇒ (x³ – y³) = (x – y) (x² + y² + xy)
1 = (x – y).1
x – y = 1

S10. Ans.(d)
Sol.
We know that,
∠SRT = 60°
Due to equilateral triangle
∠RQS = 45°
Because due to diagonal of square
So, ∠SOR = ∠ORQ + ∠RQO
= (90 – 60) + 45
= 75°