Maths Questions for CTET,KVS Exam : 26 october 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. Which among the following is true for the given numbers?
(a) 17/19<21/23<27/19<45/23
(b) 17/19<27/19<21/23<45/23
(c) 21/23<17/19<45/23<27/19
(d) 45/23<27/19<21/23<17/19

Q2. Find the CI when a sum of Rs 4096 is invested for 2 yrs. at a rate of 25% p.a. if interest is compounded annually?
(a) Rs 2234
(b) Rs 2304
(c) Rs 2534
(d) Rs 2634

Q3. 5 years ago, the ratio of ages of Father and son was 7 : 1. If father’s present age is four times his son’s present age. Find present age of son?
(a) 10 yrs
(b) 12 yrs
(c) 15 yrs
(d) 5 yrs

Q4. A triangle has a perimeter of 150 m. If two of its sides are equal and the third side is 30 more than the equal sides, what is the length of the third side?
(a) 40 m
(b) 60 m
(c) 50 m
(d) 70 m

Q5. A train crosses a pole in 15 seconds. What is the length of the train if the speed of train is 35 m/s?
(a) 525
(b) 575
(c) 550
(d) 565

Q6. The average of 9 numbers is 60. The average of first 4 numbers is 70 and average of last 4 numbers is 57. Find the 5th number?
(a) 32
(b) 35
(c) 30
(d) 38

Q7. Find the cost of fencing a rectangular field of dimension 30 m × 40 m if cost of fencing is Rs 20 per m?
(a) Rs 2400
(b) Rs 2500
(c) Rs 2800
(d) Rs 2600

Q8. There are 80 coins in total, comprising of rupee 1 and 50 paise coins. The value of all coins is Rs 60. How many 50 paise coins are there?
(a) 45
(b) 35
(c) 32
(d) 40

Q9. LCM and HCF of two number is 360 and 60 respectively. If one number is 120 then find the another number 
(a) 200
(b) 110
(c) 140
(d) 180

Q10. 4 chair and 3 table cost 1600 Rs. 8 chairs and 6 tables cost how much ? 
(a) 3200
(b) 4800
(c) 2400
(d) 1200

SOLUTIONS

S1. Ans.(a)
Sol.
17/19<21/23<27/19<45/23
⇒ 0.89 < 0.91 < 1.42 < 1.95

S2. Ans.(b)
Sol.
CI=4096 [1+25/100]^2-4096
=4096 [1+1/4]^2-4096
=4096×5/4×5/4-4096
= 6400 – 4096
= Rs 2304

S3. Ans.(a)
Sol.
Let father’s age be x and son’s age be y.
(x-5)/(y-5)=7
x – 5 = 7y – 35
x – 7y = -30 …(i)
Also, x = 4y …(ii)
Solving (i) & (ii)
x = 40, y = 10

S4. Ans.(d)
Sol.
Let equal sides be ‘a’ m.

ATQ,
a + a +a + 30 = 150
3a = 120
a = 40
So, third side = a + 30 = 70 m

S5. Ans.(a)
Sol.
Length = Speed × Time
= 35 × 15
= 525m

S7. Ans.(c)
Sol.
Cost of fencing = 2(30 + 40) × 20
= 2 × 70 × 20
= Rs 2800

S8. Ans.(d)
Sol.
Let Rs 1 coin be x and 50 paise coin be y
x + y = 80 …(i)
x + y/2 = 60 …(ii)
solving (i) & (ii)
x = 40 and y= 40

S9. Ans.(d)
Sol.
LCM × HCF = I × II
360 × 60 = I × II
360 × 60 = 120 × II
II=(360×60)/120=180

S10. Ans.(a)
Sol.
4 × Chair + 3 × table = 1600
2 × (4 × chair + 3 × table) = 2 × 1600
8 chair + 6 table = 3200