Scholastic Aptitude Test - Mathematics - Basic Operation on Arithmetic

Question - 1

A fort had provision food for 150 men for 45 days. After 10days, 25 men left the fort. The number of days for which the remaining food will last is

  • A 29\(\frac { 1 }{ 5 } \)
  • B 37\(\frac { 1 }{ 4 } \)
  • C 42
  • D 54

Question - 2

The cost of 16 packets of salt, each weighing 900 grams is Rs 28. What will be the cost of 27 packets, if each packet weighs 1kg

  • A Rs. 52.50
  • B Rs. 56
  • C Rs. 58.50
  • D Rs. 64.75

Question - 3

4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 8-mat weavers in 8 days?

  • A 4
  • B 8
  • C 12
  • D 16

Question - 4

Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?

  • A 648
  • B 1800
  • C 2700
  • D 10800

Question - 5

In a daily form, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk?

  • A 1
  • B \(\frac { 1 }{ 40 } \)
  • C 40
  • D 80

Question - 6

If x men, working X hours per day, can do x units of work in x days, then y men, working y hours per day would be able to complete how many units of work in y days?

  • A \(\frac { { x }^{ 2 } }{ { y }^{ 3 } } \)
  • B \(\frac { { y }^{ 2 } }{ { x }^{ 3 } } \)
  • C \(\frac { { x }^{ 3 } }{ { y }^{ 2 } } \)
  • D \(\frac { { y }^{ 3 } }{ { x }^{ 2 } } \)

Question - 7

2 men and 7 boys can do a piece of work in 14 days, 3 men and 8 boys can do the same in 11 days. Then, 8 men and 6 boys can do three times the amount of this
work in.

  • A 18 days
  • B 21 days
  • C 24 days
  • D 30 days

Question - 8

A can do a piece of work in 80 days. He works at it for 10 days and then B alone finishes the remaining work in 42 days. In how much time will A and B working together, finish the work.

  • A 40 days
  • B 30 days
  • C 10 days
  • D none of these

Question - 9

A and B undertake to do a piece of work for Rs. 600. A alone can do it in 6 days while B alone can do it in 8 days. With the help of C, they finish it in 3 days. Find the share of each.

  • A 200, 225, 75
  • B 300, 225, 75
  • C 250, 225, 75
  • D none of these

Question - 10

2 men and 3 boys can do a piece of work in 10 days while 3 men and 2 boys can do the same work in 8 days. In how many days can 2 men and 1 boy do the work?

  • A \(12\frac { 1 }{ 2 } \)days
  • B \(13\frac { 1 }{ 2 } \)days
  • C 12 days
  • D none of these
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