

NTSE SAT Mathematics - Basic Operation on Arithmetic
Exam Duration: 45 Mins Total Questions : 30
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
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
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
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
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)
\(\frac { { y }^{ 3 } }{ { x }^{ 2 } } \)
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
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
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
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
A and B can do a work in 8 days? B and C can do the same work in 12 days. A, B and C together can finish the work in 6 days. A and C together will do in
- (a)
4 days
- (b)
6 days
- (c)
8 days
- (d)
12 days
Pipe A can fill a tank in 5 hours, pipe B in 10 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled?
- (a)
2
- (b)
2.5
- (c)
3
- (d)
3.5
Three pipes A, B, and C can fill a tank in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is
- (a)
10
- (b)
12
- (c)
14
- (d)
16
The speed of a car increases by 2 kms after every one hour. If the distance travelled in the first one hour was 35 kms, what was the total distance travelled in 12 hours?
- (a)
456 kms
- (b)
482 kms
- (c)
552 kms
- (d)
556 kms
Anna left for City A from City B at 5.20 am. She travelled at the speed of 80 km/hr for 2 hours 15 minutes. After that the speed was reduced to 60 km/hr. If the distance between two cities is 350 kms, at what time did Anna reach City A?
- (a)
9.20 am
- (b)
10.20 am
- (c)
10.25 am
- (d)
none of these
A train passes a station platform in 36 'seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
- (a)
120m
- (b)
240m
- (c)
300 m
- (d)
none
If 36 men can do a piece of work in 25 hours, in how many hours will 15 men do i
- (a)
40
- (b)
50
- (c)
60
- (d)
none of these
If the cost of X metres of wire is d rupees, then. what is the cost of y metres of wire at the same rate?
- (a)
\(Rs\left( \frac { xy }{ d } \right) \)
- (b)
\(Rs\left( xd \right) \)
- (c)
\(Rs\left( yd \right) \)
- (d)
\(Rs({\frac{yd}{x}})\)
If 7 spiders make 7 web in 7 days, then 1 spider will make 1 web in how many days?
- (a)
1
- (b)
\(\frac { 7 }{ 2 } \)
- (c)
7
- (d)
49
If 18 pumps can raise 2170 tonnes of water in 10 days, working 7 hours a day, in how many days will 16 pumps raise 1736 tonnes of water, working 9 hours a day?
- (a)
6
- (b)
7
- (c)
8
- (d)
9
A and B together can complete a piece of work in 4 days. If A alone can complete the same work in 12 days, in how many days can B alone complete that work?
- (a)
5
- (b)
6
- (c)
7
- (d)
8
A is twice as good as workman as Band together they finish a piece of work in 18 days. In how many days will A alone finish the work?
- (a)
25
- (b)
26
- (c)
27
- (d)
none of these
A takes twice as much time as B or thrice as much time to finish a piece of work. Working together, they can finish the work in 2 days, B can do the work alone in
- (a)
4 days
- (b)
6 days
- (c)
8 days
- (d)
12 days
A cyclist covers a distance of 750 m in 2 min 30 sec. Whatis the speed in km/hr of the cyclist?
- (a)
16 km/hr
- (b)
17 km/hr
- (c)
18 km/hr
- (d)
none of these
A man travelled from the village to the post office at the rate of 25 kmph and walked back at the rate of 4 kmph.If the whole journey took 5 hours 48 minutes, find the distance of the post-office from the village.
- (a)
20 km
- (b)
10 km
- (c)
30 km
- (d)
none of these
A and B are two stations 390 km apart. A train start from A at 10 am and travels towards B at 65 kmph. Another train starts from B at 11 am and travel towards A at 35 kmph. At what time do they meet?
- (a)
1.15 pm
- (b)
2.15 pm
- (c)
2.15 pm or 14.15 hrs
- (d)
none of these
Atrain 100 metres long takes 6 seconds to cross a man walking at 5 kmph in a direction opposite to that of the train. Find the speed of the train.
- (a)
45
- (b)
55
- (c)
65
- (d)
none of these
Aman sitting in a train which is travelling at 50 krnph, observes that a goods train, travelling in opposite direction, takes 9·seconds to pair him. If the goods train is 280 m long, find its speed.
- (a)
62 kmph
- (b)
72 kmph
- (c)
82 kmph
- (d)
none of these
A train running at a speed of 60 km/hour crosses a pole in 9 seconds. What is the length of the train?
- (a)
120m
- (b)
150m
- (c)
324m
- (d)
Can't be determined
A man can row upstream at 7 kmph and downstream at 10 kmph. Find man's rate in still water and the rate of current.
- (a)
8.5 krn/hr, 2 krn/hr
- (b)
8.5 km/hr, 1.5 km/hr
- (c)
7.5 km/hr, 2.5 km/hr
- (d)
none of these
A man can row 18 kmph in still water. It takes him thrice as long as to row up as to row down the river. Find the rate of stream.
- (a)
8 km/hr
- (b)
6 km/hr
- (c)
9 km/hr
- (d)
none of these