Basic Arithmetic
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Q121.Which number from the options below is different from the rest? 41, 49, 43, 47.
Correct Answer: B
41, 43, and 47 are prime numbers, whereas 49 is a composite number and a perfect square (7 × 7).
Q122.Which of these numbers is not like the others? 8, 22, 27, 7.
Correct Answer: D
7 is the only prime number in the group. The others (8, 22, 27) are composite numbers.
Q123.Between 15 and 100, how many multiples of 5 are there?
Correct Answer: C
The multiples are from 15 (5×3) to 100 (5×20). Number of terms = 20 - 3 + 1 = 18.
Q124.The Least Common Multiple (LCM) of 12 and 15 is:
Correct Answer: B
Prime factors: 12 = 2^2 * 3, 15 = 3 * 5. LCM = 2^2 * 3 * 5 = 60.
Q125.LCM of 30 and 36 is?
Correct Answer: B
Prime factors: 30 = 2 * 3 * 5, and 36 = 2^2 * 3^2. LCM is 2^2 * 3^2 * 5 = 4 * 9 * 5 = 180.
Q126.What is the value of (27)^(-⅓)?
Correct Answer: C
(27)^(-1/3) is equal to 1 / (27^(1/3)) = 1 / 3.
Q127.The decimal number 33 can be expressed in binary as?
Correct Answer: A
Converting 33 to binary by successive division by 2: 33/2 = 16 R1, 16/2 = 8 R0, 8/2 = 4 R0, 4/2 = 2 R0, 2/2 = 1 R0, 1/2 = 0 R1. Reading backwards, we get 100001.
Q128.What is 0.1 written as a fraction?
Correct Answer: A
0.1 represents one-tenth, which is written as 1/10.
Q129.What is 1/9 of 36?
Correct Answer: B
1/9 of 36 is computed as 36 / 9 = 4.
Q130.How can 9.4 be written as a fraction?
Correct Answer: A
9.4 = 94/10, which simplifies to 47/5 when numerator and denominator are divided by their GCD of 2.
Q131.The product 5 × 3 is divisible by?
Correct Answer: B
The product 5 × 3 is 15. 15 is divisible by 3, but not evenly by 2, 4, or 7.
Q132.Simplify 100/275 to its simplest form:
Correct Answer: A
The GCD of 100 and 275 is 25. Dividing both by 25: 100/25 = 4, and 275/25 = 11. Simplest form is 4/11.
Q133.How can 0.10 be written as a fraction?
Correct Answer: A
0.10 = 10/100, which simplifies to 1/10 when divided by 10.
Q134.The division 7763 ÷ 5 gives 1553 exactly. True or False?
Correct Answer: B
7763 ÷ 5 = 1552 with a remainder of 3, or 1552.6, so it is not 1553 exactly.
Q135.Does 225 divide evenly by 5 and 10?
Correct Answer: A
225 ends in 5, so it is divisible by 5 (225 / 5 = 45). However, it does not end in 0, so it is not evenly divisible by 10.
Q136.What is the square root of 729?
Correct Answer: C
27 * 27 = 729, so the square root of 729 is 27.
Q137.The square root of 1936 =?
Correct Answer: C
44 * 44 = 1936, so the square root of 1936 is 44.
Q138.The square root of 5.29?
Correct Answer: C
2.3 * 2.3 = 5.29, so the square root of 5.29 is 2.3.
Q139.0.089x0.7x0.5
Correct Answer: B
0.089 * 0.7 * 0.5 = 0.0623 * 0.5 = 0.03115.
Q140.a x a x a in index citation?
Correct Answer: B
Multiplying 'a' by itself three times is represented as 'a' raised to the power of 3, which is written as a³.