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OTI365 - NTSE - X Standard
NTSE SAT Mathematics - Basic Operation on Arithmetic Model Question Paper with Answer

SAT Mathematics - Basic Operation on Arithmetic

Exam Duration: 45 Mins Total Questions : 30

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

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

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

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

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

6 )

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

7 )

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

8 )

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

9 )

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

10 )

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

11 )

Two trains 137 metres and 163 metres in length are running towards each other on parallel lines, one at the rate of 42 kmph and another at 48 kmph. In what time will they be able to clear of each other from the moment they meet?

(a)
12 seconds
(b)
10 seconds
(c)
15 seconds
(d)
none of these

12 )

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

13 )

There is a road beside a river. Two friends started from a place A, moved to a temple situated at another place Band then returned to A again. One of them moves on a cycle at a speed of 12 km/hr, while the other sails on a boat at a speed of 10 km/hr. If the river flows at the speed of 4 km/hr, which of the two friends will return
to place A first?

(a)
7.4 krn/hr
(b)
8.4 km/hr
(c)
6.4 km/hr
(d)
none of these

14 )

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

15 )

If the wages of 6 men for 15 days be Rs. 2100, then find the wages of 9 men for 12 days

(a)
2530
(b)
2520
(c)
1520
(d)
none of these

16 )

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)
\(Rs({\frac{yd}{x}})\)

17 )

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

18 )

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

19 )

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

20 )

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

21 )

A can do a certain job in 12 days. Bis 60%more efficient than A. How many days does B alone take to do the same job?

(a)
\(5\frac { 1 }{ 2 } \)days
(b)
\(6\frac { 1 }{ 2 } \)days
(c)
\(7\frac { 1 }{ 2 } \)days
(d)
none of these

22 )

A tyre has two punctures. The first puncture alone would have made the tyre flat in 9 minutes and the second alone would have done it in 6 minutes. If air leaks out at a constant rate, how long does it take both the punctures together to make it flat?

(a)
\(3\frac { 1 }{ 2 } \)minutes
(b)
\(1\frac { 1 }{ 2 } \)minutes
(c)
\(3\frac { 3 }{ 5 } \)minutes
(d)
none of these

23 )

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

24 )

A cistern has two taps which fill it in 12 minutes and 15 minutes respectively. There is also a waste pipe in the cistern.When all the three are opened, the empty cistern is full in 20 minutes. How long will the waste pipe take to empty the full cistern?

(a)
15 minutes
(b)
10 minutes
(c)
11 minutes
(d)
none of these

25 )

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

26 )

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

27 )

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

28 )

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.