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# Maths Questions for CTET Exam : 5th september 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. Six tables and twelve chairs were bought for Rs.7,800. If the average price of a table is Rs.750, then the average price of a chair would be :
(a) Rs.250
(b) Rs.275
(c) Rs.150
(d) Rs.175

Q2. The average age of four boys A, B, C and D is 5 years and the average age of A, B, D, E is 6 years. C is 8 years old. The age of E is (in years)
(a) 12
(b) 13
(c) 14
(d) 15

Q3. The average of some natural numbers is 15. If 30 is added to the first number and 5 is subtracted from the last number the average becomes 17.5 then the number of natural number is
(a) 20
(b) 30
(c) 15
(d) 10

Q4. There is a number consisting of two digits, the digit in the units place is twice than digit in the tens’ place and if 2 subtracted from the sum of the digits, the difference is equal to 1/6th of the number. The number is
(a) 23
(b) 25
(c) 26
(d) 24

Q5. A shop of electronic goods remains closed on Monday. The average sales per day for remaining six days of a week is Rs. 15640 and the average sale of Tuesday to Saturday is Rs.14124. The sales on Sunday is:
(a) Rs.23220
(b) Rs.201888
(d) Rs.21704

Q6. A tent is to be built in the form of a cylinder of radius 5 m surmounted by a cone of the same radius. If the height of the cylindrical part is 6 m and slant height of the conical part is 10 m, how much canvas will be required to build the tent? Allow 20% extra canvas for folding and stitching. (Take π = 22/7)
(a) 829.72 sq mts
(b) 414.86 sq mts
(c) 1244.58 sq mts
(d) 207.43 sq mts

Q7. The measures of the four angles of a quadrilateral are in the ratio 1:2:3:4. What is the measure of the biggest angle?
(a) 36°
(b) 144°
(c) 72°
(d) 108°

Q8. If the selling price is Rs2125 after getting a discount of 15% what was the marked price?
(a) Rs2443.75
(b) Rs1806.25
(c) Rs1847
(d) Rs2500

Q9. Mandeep works 3 times as fast as Sampat. If Sampat can complete a job alone in 60 days, then in how many days can they together finish the job?
(a) 7 days
(b) 4 days
(c) 5 days
(d) 15 days

Q10. The third proportional of two numbers 4 and 20 is
(a) 36
(b) 40
(c) 100
(d) 60

S1. Ans.(b)
Sol.
6T + 12C = 7800
6 × 750 + 12C = 7800
4500 + 12C = 7800
12C=3300
C=3300/12
Average, C = 275 Rs.

S2. Ans.(a)
Sol.
A + B + C + D = 5 × 4 = 20 years
C = 8
A + B + D = 12 years
A + B + D + E = 6 × 4 = 24
12 + E = 24
E = 12 years

S3. Ans.(d)
Sol.
Let there are n natural numbers
Average of n = 15
Sum of n = 15n  …(i)
ATQ,
Average of n + 30 – 5 = 17.5
Sum of n = 17.5n –25 …(ii)
From (i) and (ii)
15n = 17.5n – 25
25 = 2.5n
n = 10

S4. Ans.(d)
Sol.
Let the digit at unit’s place and ten’s place be x, y
y = 2x
ATQ
x+y–2=1/6 (10x+y)
6x + 6y – 12 = 10x + y
6x + 12x – 12 = 10x + 2x
6x = 12
x = 2
y = 2 × 2 = 4
Number is ⇒ 24

S5. Ans.(a)
Sol.
Tuesday to Sunday = 15640 × 6 = 93840 Rs.
Tuesday to Saturday = 14124 × 5 = 70620 Rs.
Sale on Sunday = 93840 – 70620 = 23220 Rs.

S6. Ans.(b)
Sol.
Curved Surface area of conical part = πrl
=22/7×5×10
=1100/7
Curved surface area of cylindrical part = 2πrh
=2×22/7×5×6
=1320/7
Total Area
=1100/7+1320/7
=2420/7
= 345.7 m²
20% extra for canvasing & folding = 345.7 × 1/5 = 69.14
Total area = 345.7 + 69.14= 414.84 m²

S7. Ans.(b)
Sol. ATQ,
x + 2x + 3x + 4x = 360
1x = 360
x = 36°
Measure of Biggest Angle
= 4 × 36
= 144°

S10. Ans.(c)
Sol. Third proportion
=(20×20)/4=100

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