### 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