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OTI365 - NTSE - X Standard
NTSE Mental Ability Test - Alphabet and Number Ranking Important Questions with Answer

NTSE Mental Ability Test - Alphabet and Number Ranking

Exam Duration: 45 Mins Total Questions : 30

1 )

In a row of trees, one tree is fifth from either end of the row. How many trees are there in the row?

(a)
8
(b)
9
(c)
10
(d)
11

Solution :

Clearly, the number of trees in the row = ( 4 + 1 + 4 ) = 9.

2 )

In a queue, Amrita is 10th from the front while Mukul is 25th from behind and Mamta is just in the middle of the two. If there are 50 persons in the queue, then what position does Mamta occupy from the front?

(a)
20^th
(b)
19^th
(c)
18^th
(d)
17^th

Solution :

Number of persons between Amrita and Mukul = 50 - (10 + 25) = 15. Since Mamta lies in middle of these 15 persons, so Mamta's position is 8th from Amrita i.e. 18th from the front.

3 )

How many 7's are there in the following series which are not immediately followed by 3 but immediately preceded by 8?
8 9 8 7 6 2 2 6 3 2 6 9 7 3 2 8 7 2 7 7 8 7 3 7 7 9 4

(a)
10
(b)
3
(c)
2
(d)
0

Solution :

8 9 8 7 6 2 2 6 3 2 6 9 7 3 2 8 7 2 7 7 8 7 7 7 9 4

4 )

Count each 1 in the following sequence of numbers that is immediately followed by 2, if 2 is not immediately followed by 3. How many such l's are there?
1 2 1 3 4 5 1 2 3 5 2 1 2 6 1 4 5 1 1 2 4 1 2 3 2 1 7 5 2 1 2 5

(a)
2
(b)
4
(c)
7
(d)
9

Solution :

1 2 1 3 4 5 1 2 3 5 2 1 2 6 1 4 5 1 1 2 4 1 2 3 2 1 7 5 2 1 2 5

5 )

In the following list of numerals, how many 2's are followed by 1's but not preceded by 4?
4 2 1 2 1 4 2 1 1 2 4 4 4 1 2 2 1 2 1 4 4 2 1 4 2 1 2 1 2 4 1 4 2 1 2 4 1 4 6

(a)
2
(b)
3
(c)
4
(d)
5

Solution :

4 2 1 2 1 4 2 1 1 2 4 4 4 1 2 21 2 1 4 4 2 1 4 2 1 2 1 2 4 1 4 2 1 2 4 1 4 6

6 )

In the following series of numbers, find out how many times, 1,3 and 7 have appeared together, 7 being in the middle and 1 and 3 on either side of 7?
2 9 7 3 1 7 3 7 7 1 3 3 1 7 3 8 5 7 1 3 7 7 1 7 3 9 0 6

(a)
3
(b)
4
(c)
5
(d)
More than 5

Solution :

2 9 7 3 1 7 3 7 7 1 3 3 1 7 3 8 5 7 1 3 7 7 1 7 3 9 0 6

7 )

In the series,
6 4 1 2 2 8 7 4 2 1 5 3 8 6 2 1 7 1 4 1 3 2 8 6
How many pairs of alternate numbers have a difference of 2?

(a)
1
(b)
2
(c)
3
(d)
4

Solution :

We proceed by checking the difference between pairs of alternate numbers i.e., (6,1), (4,2), (1,2), (2,8), (2,7), (8,4), (7,2) (4,1), (2,5), (1,3), (5,8), (3,6), (8,2), (6,1), (2,7), (1,1), (7,4), (1,1), (4,3), (1,2), (3,8), and (2, 6). Of these, the pairs with a difference of 2 are (4,2) and (1,3). Clearly, there are two such pairs

8 )

Series: 5 1 4 7 3 9 8 5 7 2 6 3 1 5 8 6 3 8 5 2 2 4 3 4 9 6
How many even numbers are there in the sequence, which are immediately preceded by an odd number but immediately followed by an even number?

(a)
1
(b)
2
(c)
3
(d)
4

Solution :

5 1 4 7 3 9 8 5 7 2 6 3 1 5 8 6 3 8 5 2 2 4 3 4 9 6

9 )

Some boys are sitting in a row. P is sitting fourteenth from the left and Q is seventh from the right. If there are four boys between P and Q, how many boys are there in the row?

(a)
25
(b)
23
(c)
21
(d)
19

Solution :

Number of boys in the row = number of boys up till P + number of boys between P and Q + number of boys including Q and those behind Q
= 14 + 4 + 7 = 25

10 )

Sangeeta remembers that her father's birthday was certainly after eighth but before thirteenth of December. Her sister Natasha remembers that their father's birthday was definitely after ninth but before fourteenth of December. On which date of December was their father's birthday?

(a)
10^th
(b)
11^th
(c)
12^th
(d)
Data inadequate

Solution :

According to Sangeeta, the father's birthday falls on one of the days among 9^th, 10^th, 11^th and 12^th December. According to Natasha, the father's birthday falls on one of the day among 10^th,11^th, 12^thand 13^thDecember. The days common to both the groups are 10^th, 11^thand 12^th December. So, the father's birthday falls on any one of these days.

11 )

Standing on a platform, Amit told Sunita that Aligarh was more than ten kilometres but less than fifteen kilometres from there. Sunita knew that it was more than twelve but less than fourteen kilometres from there. If both of them were correct, which of the following could be the distance of Aligarh from the platform?

(a)
11
(b)
12
(c)
13
(d)
14

Solution :

Clearly, according to Sunita, the distance was more than 12 km but less than 14 km, which is 13km.

12 )

Ashish leaves his house at 20 minutes to seven in the morning, reaches Kunal's house in 25 minutes, they finish their breakfast in another 15 minute and leave for their office which takes another 35 minutes, At what time do they leave Kunal's houses to reach their office?

(a)
7.40 a.m
(b)
7.20 a.m.
(c)
7.45 a.m.
(d)
8.15 a.m.

Solution :

Ashish leaves his house at 6.40 a.m. He reaches Kunal's in 25 minutes i.e. 7.05 a.m. Both leave for office 15 minutes after 7.05 a.m. i.e. at 7.20 a.m.

13 )

Ajay left home for the bus stop 15 minutes earlier than usual. It takes 10 minutes to reach the stop. He reached the stop at 8.40 (a)m. What time does he usually leave home for the bus stop?

(a)
8.30 a.m.
(b)
8.45 p.m.
(c)
8.55 a.m.
(d)
None of these

Solution :

Clearly, Ajay left home 10 minutes before 8.40 a.m. i.e., at 8.30 a.m. But it was 15 minutes earlier than usual. So, he usually left for the stop at 8.45 a.m.

14 )

If 11th January 1997 was a Sunday then what day of the week was on 10th January 2000?

(a)
Tuesday
(b)
Wednesday
(c)
Thursday
(d)
Friday

Solution :

Total number of days between 11^thJanuary 1997 and 10^th January 2000
= (365 - 11) in 1997 + 365 in 1998 + 365 in 1999 + 10 days in 2000
= (50 weeks + 4 odd days) + (52 weeks + 1 odd day) + (52 weeks + 1 odd day) + (1 week + 3 odd days)
Total number of odd days = 4 + 1 + 1 + 3
= 9 days = 1 week + 2 days
Hence, 10^thJanuary, 2000 would be 2 days ahead of Sunday i.e. it was on Tuesday.

15 )

An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon

(a)
144⁰
(b)
150⁰
(c)
168⁰
(d)
180⁰

Solution :

Angle traced by the hour hand in 6 hours
= (360/12 $\times$6)⁰ = 180⁰

16 )

Reaching the place of meeting on Tuesday 15 minutes before 08.30 hours, Anuj found himself half an hour earlier than the man who was 40 minutes late. What was the scheduled time of the meeting?

(a)
8.00 hrs
(b)
8.05 hrs
(c)
8.15 hrs
(d)
8.45 hrs

Solution :

Anuj reached the place at 0815 hours. Clearly, the man who was 40 minutes late would reach the place at 8.45 a.m. So, the scheduled time of meeting was at 08.05 hours.

17 )

The priest told the devotee, "The temple bell is rung at regular intervals of 45 minutes. The last bell was rung five minutes ago. The next bell is due to be rung at 7.45 a.m." At what time did the priest give this information to the devotee?

(a)
7.40 a.m.
(b)
7.05 a.m.
(c)
7.00 a.m.
(d)
6.55 a.m.

Solution :

Clearly, the last bell rang 45 minutes before 7.45 a.m. i.e. at 7.00 a.m. But it happened five minutes before he gave the information to the devotee. So, the information was given at 7.05 a.m.

18 )

The train for Lucknow leaves every two and a half hours from New Delhi Railway Station. An announcement was 8. made at the station that the train for Lucknow had left 40 minutes ago and the next train will leave at 18.00 hrs. At what time was the announcement made?

(a)
17.10 hrs
(b)
16.00 hrs
(c)
15.50 hrs
(d)
None of these

Solution :

Clearly, the last train left two and a half hours before 7. 18.00 hours i.e. at 15.30 hours. But this happened 40 minutes before the announcement was made. So, the announcement was made at 16.10 hours.

19 )

A monkey climbs 30 feet before at the beginning of each hour and rests for a while when he slips back 20 feet before he again starts climbing in the beginning of the next hour. If he begins his ascent at 8.00 a.m., at what time will he first touch a flag at 120 feet from the ground

(a)
4 p.m,
(b)
5 p.m.
(c)
6 p.m.
(d)
None of these

Solution :

Clearly, the monkey climbs 10 feet in one hour. So, it will climb up to a height of90 feet in 9 hours i.e. at 5.00 p.m. It will then ascend a height of 30 feet in the next hour to touch the peak at 6.00 p.m.

20 )

On 8^th Dec, 2007 Saturday falls. What day of the week was it on 8^th Dee, 2006?

(a)
Sunday
(b)
Thursday
(c)
Tuesday
(d)
Friday

Solution :

The year 2006 is an ordinary year. So, it has 1 odd day.
So, the day on 8^thDec, 2007 will be 1 day beyond the day on 8^thDec, 2006.
But, 8^thDec, 2007 is Saturday.
8^thDec, 2006 is Friday

21 )

If you count 21 letters in the English alphabet from the end 20 letters from the beginning which letter will appear exactly in the middle of the sequence thus formed?

(a)
M
(b)
N
(c)
L
(d)
O

Solution :

Consider the English alphabet:

By counting 21 letters from the end 20 letters from the beginning, we get the following sequence in which M comes exactly in the middle

22 )

Choose the one word which can be formed from the letters of the given word.
RATIONALISATION

(a)
NATIONALISTIC
(b)
NATIONALIST
(c)
SITUATION
(d)
REALISATION

Solution :

The word RATIONALISATION contains all the letters of the word NATIONALIST. So, the word NATIONALIST can be formed

23 )

How many such letters are there in the arrangement each of which is either immediately preceded by a symbol or immediately followed by a number, but not both?

(a)
three
(b)
four
(c)
five
(d)
None of these

Solution :

The letters satisfying the given conditions are shown as under:
d=bF2$K S75#$PLV8@MUE6-OGa93&TYj
Clearly, there are 8 such letters.

24 )

Manisha ranked sixteenth from the top and twenty ninth from the bottom among those who passed an examination. Six students did not participate in the competition and five failed in it. How many students were there in the class?

(a)
40
(b)
44
(c)
50
(d)
55

Solution :

Number of students who passed
= (15 + 1 +28)=44
ஃ Total number of students in the class
= 44+6+5=55

25 )

In each of the following questions, a group of letters is given which are numbered 1, 2, 3, 4, 5 and 6. Below are given four alternatives containing combinations of these numbers. Select that combination of numbers so that letters arranged accordingly, form a meaningful word.

C	E	L	S	M	U
1	2	3	4	5	6

(a)
4,6,3,5,2,1
(b)
5,6,4, 1,3,2
(c)
4,6,5,2,3,1
(d)
5,2,3, 1,6,4

26 )

Which letter should be fourth to the right of twelfth from the·right if the second half of the alphabet series is reversed?

(a)
J
(b)
K
(c)
L
(d)
M

27 )

In the following number series how many 8's are there which are exactly divisible by the numbers which are preceded and folIowed by it?
824517284842282698454832843183

(a)
1
(b)
2
(c)
3
(d)
4

28 )

Study the following information to answer the given questions:
(i) In class of boys and girls, Amar¢s rank is 12^th and Meeta's ranks is 8^th.
(ii) Amar's rank among the boys is 6^th and Meeta's rank among girls is 3^rd.
(iii) In the class Meeta's rank is 52^nd from the other end.
(iv) From the other end, Amar's rank among the boys is 26^th
How many boys are there in the class?