Number System (QUANTITATIVE APTITUDE) EPFO UPSC

Total Questions: 30

21. Two numbers are such that the sum of twice the first number and thrice the second number is 36 and the sum of thrice the first number and twice the second number is 39. Which is the smaller number?

Correct Answer: (d) None of these
Solution:

22. In a three digit number the digit in the unit’s place is twice the digit in the ten’s place and 1.5 times the digit in the hundred’s place. If the sum of all the three digits of the number is 13, what is the number?

Correct Answer: (b) 436
Solution:

23. he denominators of two fractions are 5 and 7 respectively. The sum of these fractions is 41/35. On interchanging the numerators, their sum becomes 43/35. The fractions are

Correct Answer: (b) 3/5 and 4/7
Solution:

24. Rachita enters a shop to buy ice-creams, cookies and pastries. She has to buy atleast 9 units of each. She buys more cookies than ice-creams and more pastries than cookies. She picks up a total of 32 items. How many cookies does she buy?

Correct Answer: (c) Either 10 or 11
Solution:

25. The fare of a bus is ₹ x for the first five kilometres and ₹ 13 per kilometres thereafter. If a passenger pays ₹ 2,402 for a journey of 187 kilometres, what is the value of X?

Correct Answer: (c) ₹ 36
Solution:

According to the question,
x + 182 × 13 = 2402
⇒ x + 2366 = 2402
⇒ x = 2402 – 2366 = ₹ 36

26. In an examination, a student scores 4 marks for every correct answer and losses 1 mark for every wrong answer. A student attempted all the 200 questions and scored in all 200 marks. The number of questions, he answered correctly was :

Correct Answer: (b) 80
Solution:

27. A number consists of two digits and the digit in the ten’s place exceeds that in the unit’s place by 5. If 5 times the sum of the digits be subtracted from the number, the digits of the number are reversed. Then the sum of digits of the number is :

Correct Answer: (c) 9
Solution:

28. In a three-digits number, the digit at the hundred’s place is two times the digit at the unit’s place and the sum of the digits is 18. If the digits are reversed, the number is reduced by 396. The difference of hundred’s and ten’s digit of the number is :

Correct Answer: (b) 2
Solution:

29. In a two-digits number, the digit at the unit’s place is 1 less than twice the digit at the ten’s place. If the digits at unit’s and ten’s place are interchanged, the difference between the new and the original number is less than the original number by 20. The original number is :

Correct Answer: (d) 47
Solution:

30. There are 50 boxes and 50 persons. Person 1 keeps 1 marble in every box, person 2 keeps 2 marbles in every 2nd box, person 3 keeps 3 marbles in every third box. This process goes on till person 50 keeps 50 marbles in the 50th box. Find the total number of marbles kept in the 50th box.

Correct Answer: (d) 93
Solution:

Marble in the 50th box will be kept by 1st, 2nd, 5th,
10th, 25th and 50th person is a factor of 50.
Number of marbles = 1 + 2 + 5 + 10 + 25 + 50 = 93