Number System

1. The five-digit number 45yz0 is divisible by 40. What is the maximum possible value of (y + z) ? [SSC CGL 26/09/2024 (2nd Shift)]

(a) 15
(b) 18
(c) 16
(d) 17

Correct Answer: (c) 16

Solution:

2. In a room, there are some chairs and some people. If on each chair, only one person is seated, then there is no chair for exactly one person. If on each chair, two persons sit, then there is one vacant chair. What is the number of chairs in the room? [SSC CGL 26/09/2024 (1st Shift)]

(a) 7
(b) 4
(c) 3
(d) 6

Correct Answer: (c) 3

Solution:

3. Cindy bought 15 apples and 12 oranges and paid a sum of ₹447 for the purchase. Which of the statements given below in Inconsistent with the information given in the previous statement, leading to no possible prices of the two fruits? [SSC CGL 25/09/2024 (3rd Shift)]

(a) Purchased 25 apples and 20 oranges and paid a sum of ₹745
(b) Purchased 10 apples and 13 oranges and paid a sum of ₹353
(c) Purchased 12 apples and 8 oranges and paid a sum of ₹340
(d) Purchased 35 apples and 28 oranges and paid a sum of ₹1,029

Correct Answer: (d) Purchased 35 apples and 28 oranges and paid a sum of ₹1,029

Solution:

4. Aman has certain number of notes of denomination ₹20 and ₹10 which amount to ₹390. If the numbers of notes of each kind are interchanged, then the new amount is ₹90 less than before. Find the number of notes of ₹20 denomination.

(a) 16
(b) 12
(c) 15
(d) 14

Correct Answer: (a) 16

Solution:

5. 2 biscuits and 1 chocolate cost ₹69. 2 chocolates and 3 cups of coffee cost 127. 3 biscuits, 4 chocolates and 2 cups of coffee cost ₹229. Find the total cost (in) of 5 biscuits, 5 chocolates and 5 cups of coffee.

(a) 304
(b) 375
(c) 345
(d) 355

Correct Answer: (d) 355

Solution:

6. 8 apples and 10 oranges weigh 5 kg. 12 apples and 20 oranges weigh 9 kg. What is the weight (in kg, rounded off to the nearest integer) of 15 apples and 24 oranges?

(a) 16
(b) 11
(c) 13
(d) 10

Correct Answer: (b) 11

Solution:

7. In an election, voters have the option to vote for one of three candidates. They also have the option to select 'None Of The Above' (NOTA) to reject all the candidates. All three candidates get 6 times the NOTA votes. The winner gets twice the votes of the second runner-up. The first runner-up gets 900 more votes than NOTA and defeats the second runner-up by 150 votes. Find the total number of votes cast. [SSC CHSL 05/07/2024 (4th Shift)]

(a) 15177
(b) 11577
(c) 11025
(d) 17715

Correct Answer: (c) 11025

Solution:

8. How many factors of 14,400 are divisible by 18 but not by 36? [SSC CHSL 05/07/2024 (4th Shift)]

(a) 3
(b) 5
(c) 4
(d) 2

Correct Answer: (a) 3

Solution:

9. Raju has ₹11,000 and starts saving ₹5,000 each week towards buying a new laptop. At the same time, Ramesh has ₹60,000 and begins spending ₹2,000 per week on supplies for his art class. Will there be a week when they have the same amount of money? [SSC CHSL 05/07/2024 (1st Shift)]

(a) Yes, after 5 weeks
(b) No, they will never have the same amount
(c) Yes, after 7 weeks
(d) Yes, after 6 weeks

Correct Answer: (d) Yes, after 6 weeks

Solution:

10. If 3c2933k is divisible by both 5 and 11, where c and k are single digit natural numbers, then c + k = _______ . [SSC CHSL 05/07/2024 (1st Shift)]

(a) 6
(b) 8
(c) 5
(d) 7

Correct Answer: (a) 6

Solution:

Number System

1. The five-digit number 45yz0 is divisible by 40. What is the maximum possible value of (y + z) ? [SSC CGL 26/09/2024 (2nd Shift)]

2. In a room, there are some chairs and some people. If on each chair, only one person is seated, then there is no chair for exactly one person. If on each chair, two persons sit, then there is one vacant chair. What is the number of chairs in the room? [SSC CGL 26/09/2024 (1st Shift)]

3. Cindy bought 15 apples and 12 oranges and paid a sum of ₹447 for the purchase. Which of the statements given below in Inconsistent with the information given in the previous statement, leading to no possible prices of the two fruits? [SSC CGL 25/09/2024 (3rd Shift)]

4. Aman has certain number of notes of denomination ₹20 and ₹10 which amount to ₹390. If the numbers of notes of each kind are interchanged, then the new amount is ₹90 less than before. Find the number of notes of ₹20 denomination.

5. 2 biscuits and 1 chocolate cost ₹69. 2 chocolates and 3 cups of coffee cost 127. 3 biscuits, 4 chocolates and 2 cups of coffee cost ₹229. Find the total cost (in) of 5 biscuits, 5 chocolates and 5 cups of coffee.

6. 8 apples and 10 oranges weigh 5 kg. 12 apples and 20 oranges weigh 9 kg. What is the weight (in kg, rounded off to the nearest integer) of 15 apples and 24 oranges?

8. How many factors of 14,400 are divisible by 18 but not by 36? [SSC CHSL 05/07/2024 (4th Shift)]

9. Raju has ₹11,000 and starts saving ₹5,000 each week towards buying a new laptop. At the same time, Ramesh has ₹60,000 and begins spending ₹2,000 per week on supplies for his art class. Will there be a week when they have the same amount of money? [SSC CHSL 05/07/2024 (1st Shift)]

10. If 3c2933k is divisible by both 5 and 11, where c and k are single digit natural numbers, then c + k = _______ . [SSC CHSL 05/07/2024 (1st Shift)]

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