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OTI365 - NTSE - X Standard
NTSE SAT Mathematics - Basic Operation on Arithmetic Model Questions

NTSE 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 )

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

5 )

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)
\(\frac { { y }^{ 3 } }{ { x }^{ 2 } } \)

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 )

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

8 )

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

9 )

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

10 )

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

11 )

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

12 )

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

13 )

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

14 )

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

15 )

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

16 )

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

17 )

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

18 )

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

19 )

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

20 )

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

21 )

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

22 )

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

23 )

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

24 )

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

25 )

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

26 )

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

27 )

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.