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Maths Quiz for CTET Exam 2016

1. The population of a village is 78692. Out of which 29642 are men and 28167 are women and the remaining are children. Then the number of children is-
A. 20883
B. 21883
C. 20893
D. 20783
( men + women + children= 78692
Children= 78692-29642-28167=20883)

2. Which of the following statement is true?
A. 1 is not a prime number
B. 1 is a prime number
C. 1 is a composite number
D. 2 is not a prime number
( 1 is a natural number)

3. What is the least common multiple (LCM) of the numbers 90, 60, 75 and 35?
A. 2700
B. 6300
C. 4250
D. 2750
(L.C.M of 90, 60,75 and 35 = 6300)

4. The value of (P/Q)^m  (Q/R)^m  (R/P)^m  will be-
A. P
B. Q
C. R
D. 1
( (P/Q)^m  (Q/R)^m  (R/P)^m = P^m /Q^m  x Q^m /R^m  x R^m /P^m  = 1)

5. The sum of all numbers between 200 and 400 which are divisible by 7 is-
A. 8722
B. 8736
C. 8729
D. 8720
(203, 210, 217, ………, 399
Sum of series = n/2(2a+(n-1)d)
N= no. of terms= 29, a= 203, d= 7
S= 29/2 (2x 203+(29-1)7)
8729 ans)

6. The simplest form of 5/6×2/9+2/9÷6/7 is-
A. 0.44
B. 0.32
C. 0.49
D. 0.36
(5/6 x 2/9 +2/9 x 7/6 = 10/54 + 14/54 = 24/54 = 0.44 ans)

7. Average age of A,B and C are 10 yrs. If the average age of A and C is 9 yrs, then how many years old is B?
A. 9
B. 10
C. 11
D. 12
( (A+B+C)/3 = 10…….A+B+C = 30
Similarly, A+C =18
Now, (A+C)+B = 30 yrs
18 + B = 30 yr….B= 30-18 = 12 yr)
8. m and n are two positive integers. If m^n=25, then what is the value of n^m?
A. 4
B. 10
C. 25
D. 32
(m^n =25…..i.e 5^2 = 25
m= 5 and n= 2
∴ n^m  = 2^5 )

9. Sum of a number of two digits and the number obtained by reversing the digits of the first number is 110. If the difference of the digits is 4, then the number is-
A. 62
B. 73
C. 84
D. 51
( Let the two digit number be 10x + y
By reversing it, 10y + x
Sum = 10x + y + 10y + x
11x + 11y = 110
x + y = 10   and as, x – y = 4(given)
∴ 2x = 14…. x = 7 and y = 3
So, the number is 73 )

10. The H.C.F of two numbers is 11 and their L.C.M is 693. If one of the numbers is 77, then the other number is-
A. 88
B. 33
C. 99
D. none of these
(Product of two numbers = H.C.F x L.C.M of numbers
77 x other number = 11 x 693
Other number = 11 x 693/77
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