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Aptitude Test

Description: mcq
Number of Questions: 16
Created by:
Tags: math Inference-based Questions Reading Comprehension Antonyms Improvement based on Words in a Sentence Algebra Numerical Ability Permutation and Combination Applications of Percentages Applications of Percentages (Profit and Loss)
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In how many ways can the letters of the word 'figment' be arranged such that the vowels are always together?

  1. 5040

  2. 1440

  3. 720

  4. 2520

  5. None of these

Show answer
Correct Option: B
Explanation:

Let the two vowels be one letter, then the possible arrangement = 6! The vowels can be arranged in 2! ways among themselves. So, the  required answer = 6! * 2! = 1440

How many words can be formed from the letters of the word 'regular'?

  1. 2520

  2. 5040

  3. 720

  4. 10080

  5. None of these

Show answer
Correct Option: A
Explanation:

Total no. of words that can be formed from the letters of word 'regular' = 7! / 2! = 2520

If the numerator of a fraction is increased by 200% and the denominator is increased by 300%, respectively, the resultant fraction is 3/7. What is the original fraction?

  1. 2/7

  2. 9/14

  3. 4/7

  4. 9/28

  5. None of these

Show answer
Correct Option: C
Explanation:

Let the original fraction be n/p. After given changes, the new fraction = 3n/4p So, 3n/4p = 3/7 n/p = 4/7

The simple interest on a sum of money will be Rs. 4200 after 8 years. If the principal is doubled after three years, what will be the total interest at the end of 8 years?

  1. Rs. 6825

  2. Rs. 8400

  3. Rs. 9975

  4. Rs. 5250

  5. None of these

Show answer
Correct Option: A
Explanation:

Let the money be p and the rate be r.

Then, p*r*8 = 4200*100            p*r = 52500 Now, for 3 years, SI = p*r*3/100             = 52500*3/100 = 1575 For the next 5 years, money is 2p. So, SI = 2p*r*5/100 = p*r/10             = 52500/10 = 5250 Total SI = 1575+5250 = 6825

Find the number to replace the question mark(?).

121, 25, 7, 3, 2, ?

  1. 0

  2. 2

  3. 1

  4. -1

  5. None of these

Show answer
Correct Option: B
Explanation:

The series given here is: 5!+1, 4!+1, 3!+1, 2!+1, 1!+1, 0!+1

A sum of 20,000 is divided between A, B and C in the ratio 2 : 3 : 5. Find the difference between the shares of B and C.

  1. 4000

  2. 10000

  3. 6000

  4. 16000

  5. None of these

Show answer
Correct Option: A
Explanation:

Share of B = 3/10 * 20000 = 6000 Share of C = 5/10 * 20000 = 10000 Difference between their shares = 10000 - 6000 = 4000

Find the number to replace the question mark (?).

2, 3, 10, 15, ?

  1. 26

  2. 24

  3. 50

  4. 25

  5. None of these

Show answer
Correct Option: A
Explanation:

The given series is: 12 + 1, 22 - 1, 32 + 1, 42 - 1, 52 + 1

A bag contains 3 black and 6 white balls. Two draws of one ball each are made without replacement. What is the probability that one ball is black and the other is white?

  1. 2/9

  2. 1/2

  3. 1/4

  4. 4/9

  5. None of these

Show answer
Correct Option: B
Explanation:

The given situation can be realised in two ways. First  ball is black and then 2nd  ball is white or first  ball is white and 2nd ball is black. So, p(E1) = probabilty of 1st  ball to be black p(E2) = probabilty of 1st ball to be white p(E3) = probabilty of 2nd  ball to be black p(E4) = probabilty of 2nd  ball to be white So, p(E) = p(E1)p(E4) + p(E2)*p(E3)                 = (1/3)(3/4)+(2/3)*(3/8) = 1/2

The selling price of 5 articles is the same as the cost price of 3 articles. What is the profit or loss percent?

  1. 60% loss

  2. 66.67% loss

  3. 40% loss

  4. 40% profit

  5. None of these

Show answer
Correct Option: C
Explanation:

Let each article have a cost price = x rupees Then, cost price of 5 articles = 5x Selling price of 5 articles = 3x% loss = 2x * 100/5x = 40%

The difference between the cost price and selling price of a chair is Rs. 200. If the profit is 10%, the selling price is

  1. Rs. 2000

  2. Rs. 1800

  3. Rs. 2200

  4. Rs. 22000

  5. None of these

Show answer
Correct Option: C
Explanation:

Let CP be X. Then, SP = 1.1*X Now, (1.1*X) - X = 200                          X = 2000  SP = 1.1*2000 = 2200

If the average of 5 consecutive odd numbers is m and the average of another 7 consecutive odd numbers is n, then what will be the average of all odd numbers?

  1. m + n

  2. m - n

  3. (7m + 5n)/12

  4. (5m + 7n)/12

  5. None of these

Show answer
Correct Option: D
Explanation:

Sum of 5 consecutive odd numbers (avg. m) = 5m Sum of 7 consecutive odd numbers (avg. n) = 7n So, resultant avg. = (5m + 7n)/12

In a hostel, there is enough ration to meet the food requirement of 240 students for 30 days. For how many days will the ration last if the number of students increases to 360?

  1. 45

  2. 60

  3. 12

  4. 20

  5. None of these

Show answer
Correct Option: D
Explanation:

Let the daily food requirement of each student be x units. Then, total ration available = 240 * 30 * x = 7200 * x So, required no. of days for 360 students = 7200 x / 360x = 20 days

Find the average of the first 30 multiples of 9.

  1. 139.5

  2. 279

  3. 1395

  4. 270

  5. None of these

Show answer
Correct Option: A
Explanation:

Required average = 9(1 + 2 + 3 +.................. + 30)/30                                   = (9*30*31)/(30*2)                                   = 279/2                                   = 139.5

The ratio of the numbers of boys and girls in a school is 4 : 3. There are 3400 pens to be divided between them. If each boy gets 4 pens and each girl gets 6 pens, find the total number of girls in the school.

  1. 300

  2. 400

  3. 700

  4. 1800

  5. None of these

Show answer
Correct Option: A
Explanation:

Let the total no.of boys be 4m. Then, the total no. of girls will be 3m. According to question,  4m * 4 + 3m * 6 = 3400 m = 100 So, no. of girls = 3m = 300

The area of a circle is equal to the area of a rectangle with perimeter equal to 35 m and breadth equal to 5.5 m. What is the area of this circle?

  1. 66 sq. m

  2. 192.5 sq. m

  3. 162.25 sq. m

  4. 60 sq. m

  5. None of these

Show answer
Correct Option: A
Explanation:

Let the length of rectangle be L. Then, 2(L + 5.5) = 35 Or 2L = 24 L = 12 m Area of rectangle = 12*5.5 = 66 sq m So, area of circle = area of rectangle = 66 sq. m

The population of a city is 3,00,000. If the population increases by 10% and 20%, respectively in the next two years. What will be the new population?

  1. 390000

  2. 396000

  3. 3960000

  4. 96000

  5. None of these

Show answer
Correct Option: B
Explanation:

Population after 1 year = 300000*(1+10/100) = 330000

Population after 2 years = 33000*(1+20/100) = 396000

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