GATE Practice Question and Answer
8Q: An owner of a Dry fruits shop sold small packets of mixed nuts for Rs. 150 each and large packets for Rs. 250 each. One day he sold 5000 packets, for a total of Rs. 10.50 lakh. How many small packets were sold ? 1552 05b5cc6cfe4d2b4197774e308
5b5cc6cfe4d2b4197774e308- 12000true
- 23000false
- 32500false
- 43500false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "2000"
Explanation :
Answer: A) 2000 Explanation: Let 's' be the number of small packets and 'b' the number of large packets sold on that day. Therefore, s + b = 5000 ... eqn (1) Each small packet was sold for Rs.150.Therefore, 's' small packets would have fetched Rs.150s. Each large packets was sold for Rs.250.Therefore, 'b' large packets would have fetched Rs.250b. Total value of sale = 150s + 250b = Rs. 10.5 Lakhs (Given) Or 150s + 250b = 10,50,000 ... eqn (2) Multiplying equation (1) by 150, we get 150s + 150b = 7,50,000 ... eqn (3) Subtracting eqn (3) from eqn (2), we get 100b = 3,00,000Or b = 3000 We know that s + b = 5000So, s = 5000 - b = 5000 - 3000 = 2000. 2000 small packets were sold.
Q: 9 17 11 19 13 What Are The Next Three Numbers In The Given Number Series? 1552 05b5cc6bae4d2b4197774d78f
5b5cc6bae4d2b4197774d78f- 117, 10, 18false
- 219, 14, 23false
- 321, 15, 23true
- 419, 13, 22false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "21, 15, 23"
Explanation :
Answer: C) 21, 15, 23 Explanation: Given number series is 9 17 11 19 13 Here the pattern is 9 9 + 8 = 17 17 - 6 = 11 11 + 8 = 19 19 - 6 = 13 13 + 8 = 21 21 - 6 = 15 15 + 8 = 23
Q: The age of Manisha and Sudeshna are in the ratio of 5 : 6 respectively. After 8 years the ratio of their ages will be 7 : 8. What is the difference of their ages ? 1551 05b5cc6c3e4d2b4197774dc1d
5b5cc6c3e4d2b4197774dc1d- 16false
- 24true
- 38false
- 410false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "4"
Explanation :
Answer: B) 4 Explanation: Let the age of Manisha and Sudeshna is 5x and 6x years respectively. According to the given data, 5x+8/6x+8 = 7/8 42x + 56 = 40x + 64 x = 4 Required Difference of their ages = (6 × 4) – (5 × 4) = 4 years.
Q: Find the sum to 200 terms of the series 2 + 5 + 7 + 6 + 12 + 7 + .... 1551 05b5cc754e4d2b4197774fb9f
5b5cc754e4d2b4197774fb9f- 130,400true
- 230,200false
- 334,600false
- 438,400false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "30,400"
Explanation :
Answer: A) 30,400 Explanation: we can treat every two consecutive terms as one.So, we will have a total of 100 terms of the nature:(2 + 5) + (7 + 6) + (12 + 7).... => 7, 13, 19,.... We know the sum of n terms nn+12 Now, a= 7, d=6 and n=100Hence the sum of the given series is S= 100/2 x[2 x 7 + 99 x 6]=> 50[608]=> 30,400.
Q: Who has won the orange cap for scoring the most runs in IPL 2018? 1550 05b5cc669e4d2b4197774bf40
5b5cc669e4d2b4197774bf40- 1Rishabh Pant (Delhi Daredevils)false
- 2Virat Kohli (Royal Challengers Bangalore)false
- 3Ambati Rayudu (Chennai Super Kings)false
- 4Kane Williamson (Sunrisers Hyderabad)true
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "Kane Williamson (Sunrisers Hyderabad)"
Explanation :
Answer: D) Kane Williamson (Sunrisers Hyderabad) Explanation: Kane Williamson, the captain of Sunrisers Hyderabad team has won orange cup for scoring the most runs in IPL 2018. The orange cap is presented annually in the Indian Premier League to the highest run scorer.
Q: Air pressure is measured in which of the following units? 1550 05b5cc694e4d2b4197774c47a
5b5cc694e4d2b4197774c47a- 1Steridianfalse
- 2kg/mtsfalse
- 3Newtonfalse
- 4Pascaltrue
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "Pascal"
Explanation :
Answer: D) Pascal Explanation: Pressure = (Net Force) / (Applied area) = Newton / square meters Measuring units of pressure are: . Pascal. Bar. Torr. Pounds per square inch (psi). Standard atmosphere (atm).
Q: LCD of 12 and 18 1550 05b5cc6b8e4d2b4197774d66b
5b5cc6b8e4d2b4197774d66b- 136true
- 242false
- 312false
- 46false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "36"
Explanation :
Answer: A) 36 Explanation: LCD is nothing but Lowest or Least Common Denominator Here LCD of 12 and 18 means LCD of two fractions with denominators 12 and 18 respectively. Therefore, LCM of 12 & 18 = 6 x 3 x 2 = 36 How to calculate LCD :: The lowest common denominator or least common denominator (LCD) is the least common multiple (LCM) of the denominators of a set of fractions.
Q: If 2 men and 3 women can do a piece of work in 8 days and 3 men and 2 women in 7 days. In how many days can the work be done by 5 men and 4 women working together? 1549 05b5cc6bde4d2b4197774d924
5b5cc6bde4d2b4197774d924- 13 daysfalse
- 26 daysfalse
- 34 daystrue
- 42 daysfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "4 days"
Explanation :
Answer: C) 4 days Explanation: From the given data, => (2 M + 3W) 8 = (3M + 2W)7 => 16M + 24W = 21M + 14 W => 10W = 5M => 2W = M => 14W × ? = 7W × 8 ? = 4 days

