If 12 is added to a number and the sum is multiplied by 5, the result is 125. What is the number?
5(x + 12) = 125
x + 12 = 25
x = 13
Answer: 13
Problems on Numbers · Exercise 4 of 6
65 mixed-level problems on numbers in the style of campus placement tests (TCS, Infosys, Wipro, Accenture, Cognizant, Capgemini), SSC CGL/CHSL/MTS, RRB NTPC and Group D, IBPS/SBI, UPSC CSAT and state exams.
If 12 is added to a number and the sum is multiplied by 5, the result is 125. What is the number?
5(x + 12) = 125
x + 12 = 25
x = 13
Answer: 13
The sum of two numbers is 100. When the larger is divided by the smaller, the quotient is 3 and the remainder is 4. What is the larger number?
Larger = 3 × smaller + 4
Smaller + (3 × smaller + 4) = 100
4 × smaller = 96 → smaller = 24
Larger = 76
Answer: 76
Three times a number is 20 more than the number. What is the number?
3x = x + 20
2x = 20
x = 10
Answer: 10
The ratio of two numbers is 3 : 4 and their product is 768. What is their sum?
Let the numbers be 3k and 4k.
12k² = 768 → k² = 64 → k = 8
Numbers 24 and 32 → sum 56
Answer: 56
A two-digit number is exactly 6 times the sum of its digits. What is the number?
10a + b = 6(a + b)
4a = 5b
Digits must satisfy this with a, b from 1 to 9 → a = 5, b = 4
Number = 54 (check: 6 × 9 = 54)
Answer: 54
Two numbers have a sum of 18 and a product of 72. What is the larger number?
t² − 18t + 72 = 0
(t − 12)(t − 6) = 0
The numbers are 12 and 6 → larger 12
Answer: 12
40% of a number is 64. What is the number?
0.4x = 64
x = 64 ÷ 0.4
x = 160
Answer: 160
If 5 times a number is 40 more than 3 times the number, find twice the number.
5x = 3x + 40
2x = 40
Twice the number = 40
Answer: 40
120 is divided into three parts in the ratio 3 : 4 : 5. What is the middle part?
Total parts = 3 + 4 + 5 = 12
1 part = 120 ÷ 12 = 10
Middle part = 4 × 10 = 40
Answer: 40
The product of two numbers is 192 and their difference is 4. What is their sum?
x(x − 4) = 192
x² − 4x − 192 = 0 → (x − 16)(x + 12) = 0
The numbers are 16 and 12 → sum 28
Answer: 28
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