Q1. How many times the digit “3” appears in numbers from 1 to 100
(a) 18
(b) 19
(c) 20
(d) 21
Q2. Sum of the greatest 8-digit number and the smaller 9 digit number is
(a) 19999999
(b) 199999999
(c) 999999999
(d) 10000999
Q3. The whole number which does not have a predecessor is
(a) 100
(b) 0
(c) 1
(d) 9
Q4. Which of the following statement is true?
(a) 1 is the smallest prime number
(b) Every prime number is an odd number
(c) The sum of two prime numbers is always a prime number
(d) None of these
Q5. The rational number 0/7
(a) has a positive numerator
(b) has a negative numerator
(c) has either a positive numerator or a negative numerator
(d) has neither a positive numerator nor a negative numerator
Q6. The least number of 4 digits which is a perfect square is
(a) 1000
(b) 1004
(c) 1016
(d) 1024
Q7. The number which is neither prime nor composite is
(a) 0
(b) 1
(c) 2
(d) 5
Q8. What is the LCM of 108 and 144?
(a) 3888
(b) 432
(c) 648
(d) 216
Q9. Find the sum of the largest and least four–digit numbers.
(a) 9999
(b) 10000
(c) 10999
(d) 11999
Q10. The temperature first rises by 18°C and then falls by 23°C. If the initial temperature is 27°C, what is final temperature?
(a) 22°C
(b) 23°C
(c) 24°C
(d) 25°C
Solutions
S1. Ans.(c)
Sol. 3, 13, 23, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 43, 53, 63, 73, 83, 93.
S2. Ans.(b)
Sol. Greatest – 8 digit no. = 999999999
Smallest – 9 digit. No. = 100000000
Their sum = 199999999
S3. Ans.(b)
Sol.
S4. Ans.(d)
Sol. All the given statements are false.
S5. Ans.(c)
Sol. Since 0 has either a positive sign or a negative sign.
S6. Ans.(d)
Sol. By trail and error method, (1), (2) and (3) are not perfect squares. 1024 = 32 × 32 = 32².
S7. Ans.(b)
Sol.
S8. Ans.(b)
Sol. LCM of 108 and 144
LCM = 12 × 3 × 3 × 4 = 432.
S9. Ans.(c)
Sol. Largest four digit no. = 9999
Smallest four digit no. = 1000
Sum = 9999 + 1000 = 10,999
S10. Ans.(a)
Sol. According to question
⇒ 27°C + 18°C (rise) – 23°C (fall)
⇒ 22°C
