Quantitative Aptitude Practice Question and Answer

Q: Ali and Faizer are 27m apart. They both start walking and meet 9 hrs later, if they travel in the same direction and meet after 3 hrs if they walk in opposite dirction, Ali’s speed must most likely be ? 2161 0

  • 1
    9 m/h
    Correct
    Wrong
  • 2
    3 m/h
    Correct
    Wrong
  • 3
    6 m/h
    Correct
    Wrong
  • 4
    12 m/h
    Correct
    Wrong
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Answer : 3. "6 m/h"
Explanation :

Answer: C) 6 m/h Explanation: let, speed of Ali=X mph and Faizer=Y mph Now, relative speed when Ali is walking int the same direction with Faizer= (X-Y)mphhence, according to question, 27/(X-Y)=9 ; solving X-Y=3; --- (1) Now relative speed when walking in the opposite direction= (X+Y) mphhence, according to question, 27/(X+y)=3; solving X+Y=9; --- (2) solving 1 and 2 we get X=6 and Y=3, where X is the speed of Ali.

Q: If A1, A2, A3, A4, ..... A10 are speakers for a meeting and A1 always speaks after, A2 then the number of ways they can speak in the meeting is 2161 0

  • 1
    9!
    Correct
    Wrong
  • 2
    9!/2
    Correct
    Wrong
  • 3
    10!
    Correct
    Wrong
  • 4
    10!/2
    Correct
    Wrong
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Answer : 4. "10!/2"
Explanation :

Answer: D) 10!/2 Explanation: As A1 speaks always after A2, they can speak only in  1st  to 9th places and    A2 can speak in 2nd to 10 the places only when A1 speaks in 1st place    A2 can speak in 9 places the remaining     A3, A4, A5,...A10  has no restriction. So, they can speak in 9.8! ways. i.e   when A2 speaks in the first place, the number of ways they can speak is 9.8!.   When A2 speaks in second place, the number of ways they can speak is  8.8!.   When A2 speaks in third place, the number of ways they can speak is  7.8!. When A2 speaks in the ninth place, the number of ways they can speak is 1.8!       Therefore,Total Number of ways they can  speak = (9+8+7+6+5+4+3+2+1) 8! = 92(9+1)8! = 10!/2

Q: Find the compound interest on Rs. 6,500 for 4 years if the rate of interest is 10% p.a. for the first 2 years and 20% per annum for the next 2 years? 2160 0

  • 1
    Rs. 3845
    Correct
    Wrong
  • 2
    Rs. 4826
    Correct
    Wrong
  • 3
    Rs. 5142
    Correct
    Wrong
  • 4
    Rs. 4415
    Correct
    Wrong
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Answer : 2. "Rs. 4826"
Explanation :

Answer: B) Rs. 4826 Explanation: We know the formula for calculating The compound interest C = P1 + r100n - 1 where P = amount, r = rate of interest, n = time Here P = 5000, r1 = 10, r2 = 20 Then C = 65001 + 101002 x 1 + 201002 - 1= 6500 x 18562500= 65 x 185625 C = Rs. 4826.

Q: What will come in place of the question mark (?) in the following number series  ? 12, 24, 26.5, 79.5, ?, 330 2159 0

  • 1
    211
    Correct
    Wrong
  • 2
    101.5
    Correct
    Wrong
  • 3
    82.5
    Correct
    Wrong
  • 4
    99
    Correct
    Wrong
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Answer : 3. "82.5"
Explanation :

Answer: C) 82.5 Explanation: The given series    12   24   26.5   79.5   ?   330 follows a pattern that,   12 x 2 = 24   24 + 2.5 = 26.5   26.5 x 3 = 79.5   79.5 + 3 = 82.5   82.5 x 4 = 330   Hence, the missing number is 82.5

Q: 2/3 as a decimal 2159 0

  • 1
    0.47
    Correct
    Wrong
  • 2
    6.77
    Correct
    Wrong
  • 3
    0.67
    Correct
    Wrong
  • 4
    0.07
    Correct
    Wrong
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Answer : 3. "0.67"
Explanation :

Answer: C) 0.67 Explanation: To convert a fraction into decimal, just take the number on top which we called the numerator and divide it by the number at the bottom which we called the denominator. 2/3 How it comes : 2 ÷ 3 = 0 bring down the decimal point. 20 ÷ 3 = 6 and carry the remainder 2 to make 20 20 ÷ 3 = 6 and carry the remainder 2 to make 20 20 ÷ 3 = 6 and carry the remainder 2 to make 20 etc... This gives the recurring decimal 0.6666... If we round off to two decimals , then it becomes 0.67.   Hence, decimal fraction of 2/3 = 0.67.

Q: If 4 circles of equal radius are drawn with vertices of a square as the centre , the side of the square being 7 cm, find the area of the circles outside the square ? 2159 0

  • 1
    119.21 sq cm
    Correct
    Wrong
  • 2
    115.395 sq cm
    Correct
    Wrong
  • 3
    104.214 sq cm
    Correct
    Wrong
  • 4
    111.241 sq cm
    Correct
    Wrong
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Answer : 2. "115.395 sq cm"
Explanation :

Answer: B) 115.395 sq cm Explanation: Because each vertice of the square is the center of a circle(1/4) part of the total area of each circle inside of the square.(3/4) part of the total area of each circle outside of the square.Thus total area outside the square is 434×227×3.5×3.5 = 115.3955 sq cm.

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Answer : 3. "7:18"
Explanation :

Let total number of person is=100
married person=28
unmarried person will be 100-28=72
The ratio will be 28/72=7/18


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Answer : 1. "400"
Explanation :

Answer: A) 400 Explanation: Let the total number of pages in the book be 'x'. From given data, 2x/5 + 34x/100 + 52 + 52 = x => 40x + 34x + 10400 = 100x => 26x = 10400 => x = 400. Hence, total pages in the book are 400.

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