GATE Practice Question and Answer

Q: The amount of water (in ml) that should be added to reduce 9 ml lotion, containing 50% alcohol, to a lotion containing 30% alcohol is ? 2248 0

  • 1
    6 ml
    Correct
    Wrong
  • 2
    11 ml
    Correct
    Wrong
  • 3
    15 ml
    Correct
    Wrong
  • 4
    9 ml
    Correct
    Wrong
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Answer : 1. "6 ml"
Explanation :

Answer: A) 6 ml Explanation: Let us assume that the lotion has 50% alcohol and 50% water.ratio = 1:1As the total solution is 9mlalcohol = water = 4.5mlNow if we want the quantity of alcohol = 30%The quantity of water = 70%The new ratio = 3:7Let x ml of water be addedWe get,4.54.5+x = 37=> x=6Hence 6ml of water is added.

Q: Laxmi and Prasanna set on a journey. Laxmi moves northwards at a speed of 20kmph and Prasanna moves southward at a speed of 30 kmph. How far will be Prasanna from Laxmi after 60 minutes ? 1293 0

  • 1
    24 km
    Correct
    Wrong
  • 2
    50 km
    Correct
    Wrong
  • 3
    42 km
    Correct
    Wrong
  • 4
    30 km
    Correct
    Wrong
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Answer : 2. "50 km"
Explanation :

Answer: B) 50 km Explanation: We know 60 min = 1 hrTotal northward Laxmi's distance = 20kmph x 1hr = 20 kmTotal southward Prasanna's distance = 30kmph x 1hr = 30 kmTotal distance between Prasanna and Laxmi is = 20 + 30 = 50 km.

Q: A store owner is packing books into larger boxes that measure 25 by 42 by 60 inches. If the measurement of each book is 7 by 6 by 5 inches, then how many books can be placed in the box ? 1592 0

  • 1
    175
    Correct
    Wrong
  • 2
    345
    Correct
    Wrong
  • 3
    265
    Correct
    Wrong
  • 4
    300
    Correct
    Wrong
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Answer : 4. "300"
Explanation :

Answer: D) 300 Explanation: Number of books that can be placed in the larger box is given by Volume of Box / Volume of book.Now, n = 25 x 42 x 60 / 7 x 6 x 5 = 63000 / 210 = 300.Therefore, 300 books can be in that box.

Q: 6 boys and 8 girls can do job in 10 days , 26 boys & 48 women do work in 2 days. Find time taken by 15 boys and 20 girls to do same work ? 1533 0

  • 1
    2 days
    Correct
    Wrong
  • 2
    3 days
    Correct
    Wrong
  • 3
    4 days
    Correct
    Wrong
  • 4
    5 days
    Correct
    Wrong
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Answer : 3. "4 days"
Explanation :

Answer: C) 4 days Explanation: One day work of 6 boys and 8 girls is given as 6b + 8g = 1/10 -------->(I)   One day work of 26 boys and 48 women is given as 26b + 48w = 1/2 -------->(II)   Divide both sides by 2 in (I) and then multiply both sides by 5 Now we get, 15b + 20g = 1/4. Therefore, 15 boys and 20 girls can do the same work in 4 days.

Q: Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats ? 1771 0

  • 1
    1 : 2 : 3
    Correct
    Wrong
  • 2
    2 : 3 : 4
    Correct
    Wrong
  • 3
    3: 4 : 5
    Correct
    Wrong
  • 4
    4 : 5 : 6
    Correct
    Wrong
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Answer : 2. "2 : 3 : 4"
Explanation :

Answer: B) 2 : 3 : 4 Explanation: Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. Seats for Mathematics, Physics and Biology in a school are 5x, 7x and 8x. There is a proposal to increase these seats by 40%, 50% and 75% respectively. Then Seats for Mathematics, Physics and Biology in a school will be 1.4 X 5x, 1.5 X 7x and 1.75 X 8x and ratio will be 7 : 10.5 : 14  => 2:3:4.

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Answer : 4. "72"
Explanation :

Answer: D) 72 Explanation: If number of visitors on 1st, 2nd, 3rd, 4th & 5th day are k, l, m, n & o respectively, thenk + l + m + n = 58 x 4 = 232 ---- (i) & l + m + n + o = 60 x 4 = 240 ---- (ii)Subtracting (i) from (ii), we get o-k = 8 ---(iii)Given, k/o = 8/9 ----(iv)So from (iii) & (iv), we geta = 64, e = 72Therefore, number of visitors on 5th day is 72.

Q: If a person having Rs. 2000 and he want to distribute this to his five children in the manner that each son having Rs. 30 more than the younger one , what will be the share of youngest child ? 2442 1

  • 1
    Rs. 175
    Correct
    Wrong
  • 2
    Rs. 325
    Correct
    Wrong
  • 3
    Rs. 340
    Correct
    Wrong
  • 4
    Rs. 260
    Correct
    Wrong
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Answer : 3. "Rs. 340"
Explanation :

Answer: C) Rs. 340 Explanation: Assume first child (the youngest) get = Rs. x According to the question ;each son having Rs. 30 more than the younger one Second child will get = Rs. x + 30 Third child will get = Rs. x + 30 + 30 = x + 60 Forth child will get = Rs. x + 30 + 30 + 30 = x + 90 Fifth child will get = Rs. x + 30 + 30 + 30 + 30 = x + 120 Total amount they got = Rs. 2000 x + (x+30) + (x+60) + (x+90) + (x+120) = 20005x + 300 = 20005x = 1700x = Rs. 340So the youngest child will get Rs. 340.

Q: A constructor estimates that 4 people can paint Mr. Karthik's house in 6 days. If he uses 5 people instead of 4, how long will they take to complete the job ? 2136 0

  • 1
    3 days
    Correct
    Wrong
  • 2
    26/3 days
    Correct
    Wrong
  • 3
    13/4 days
    Correct
    Wrong
  • 4
    24/5 days
    Correct
    Wrong
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Answer : 4. "24/5 days"
Explanation :

Answer: D) 24/5 days Explanation: we know that m1 x d1 = m2 x d2=> 4 x 6 = 5 x dwhere d = no. of days taken by 5 men to paintd = 24/5 days.

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