NTSE - MAT-RAJ-2012

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NTSE - MAT-RAJ-2012

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Weekly Quiz Competition

Question 1
1 / -0

In the question there is a number series with one term missing shown by question mark (?). This term is one of the alternatives among the four numbers given under it. That number is

6, 20, 36, 48, 50, (?), 0

A
36

B
40

C
46

D
Date inadequate

Solution

The series is as under:

1 × 1 × 6 = 6

2 × 2 × 5 = 20

3 × 3 × 4 = 36

4 ×4 × 3 = 48

5 × 5 × 2 = 50

6 × 6 ×1 = 36

7× 7 × 0 = 0
Question 2
1 / -0

In the question there is a number series with one term missing shown by question mark (?). This term is one of the alternatives among the four numbers given under it. That number is

7, 15, 28, 59, 114, (?)

A
243

B
233

C
213

D
223

Solution

7 × 2 + 1 = 15
15 × 2 – 2 = 28
28 × 2 + 3 = 59
59 × 2 – 4 = 114
114 × 2 + 5 = 233
Question 3
1 / -0

In the question there is a number series with one term missing shown by question mark (?). This term is one of the alternatives among the four numbers given under it. That number is

0, 2, 2, 3, 3, 5, 8, 4, 10, (?), 5, 17

A
6

B
7

C
9

D
15

Solution

There are three series as follows
0, 3, 8, 15
2, 3, 4, 5
2, 5, 10, 17
So, the missing term is 15.
Question 4
1 / -0

The question consists of a number series which contains a wrong term. This term is given as one of the four alternatives among the four numbers given below. The wrong term is

8, 15, 31, 61, 123, 247, 491

A
247

B
491

C
121

D
61

Solution

8 × 2 – 1 = 15
15 × 2 + 1 = 31
31 × 2 – 1 = 61
61 × 2 + 1 = 123
123 × 2 – 1 = 245
245 × 2 + 1 = 491
So, the wrong term is 247. Should be replaced by 245.
Question 5
1 / -0

The question consists of a number series which contains a wrong term. This term is given as one of the four alternatives among the four numbers given below. The wrong term is

3, 6, 24, 30, 63, 72, 122, 132

A
132

B
30

C
122

D
72

Solution

3, 6, 24, 30, 63, 72, 122, 132

2² – 1, 3² – 3, 5² – 1, 62 – 6, 8² – 1, 9² – 9, 11² – 1, 12² – 12

So, the wrong term is 122. Should be replaced by 120.
Question 6
1 / -0

The question consists of four groups. One group is different from other three in someway. Find out the different group.

A
6253

B
1881

C
7043

D
8210

Solution

Other than 8210, all are odd numbers.
Question 7
1 / -0

In the following question there is a letter series with one term missing shown by (?). Select this term from the four given alternatives.

YANWY, DFMBD, IKNGI, NPMLN, (?) XZMVX

A
RUMSR

B
SUNQS

C
UWNSU

D
VUMTV

Solution

Each first, second, fourth and Fifth letter is + 5 ahead in the next term. Third letter is N or M altrnatively repeated.
Question 8
1 / -0

In the following question there is a letter series with one term missing shown by (?). Select this term from the four given alternatives.

PEXKW, RFWMU, TGVOS, VHUQQ, XITSO, (?)

A
ZJSUM

B
YJSUZ

C
ZKSVJ

D
JZSTN

Solution

First letter is + 2, second letter is + 1.
Third letter is – 1, fourth letter is + 2.
Fifth letter is – 2.
Question 9
1 / -0

In the following question there is a letter series with one term missing shown by (?). Select this term from the four given alternatives.

AYBZC, DWEXF, GUHVI, JSKTL, (?), POQPR

A
MQDRN

B
QMONR

C
MQNRO

D
NQMOR

Solution

First letter is + 3, second letter is – 2,
Third letter is + 3, fourth letter is – 2,
Fifth letter is + 3.
Question 10
1 / -0

In the following question there is a letter series with one term missing shown by (?). Select this term from the four given alternatives.

deb, ijg, nol, (?), xyv

A
rsp

B
stp

C
rsq

D
stq

Solution

Each letter is + 5 ahead from the preceding term.
Question 11
1 / -0

The question is based on letter series in which some of the letters are missing. The missing letters are given in the proper sequence in one of the alternatives among the four given under question. Find out the correct alternative for the question.

ab _ acc _ _ da _ bba _

A
cdabc

B
badaa

C
cdbcd

D
dbacd

Solution

ab b acc a d da a bba a
Question 12
1 / -0

The question is based on letter series in which some of the letters are missing. The missing letters are given in the proper sequence in one of the alternatives among the four given under question. Find out the correct alternative for the question.

abb _ _ ab _ b _ bba _ a

A
bbbab

B
babba

C
abaab

D
bbabb

Solution

abb b b ab a b b bba b a
Question 13
1 / -0

The question is based on letter series in which some of the letters are missing. The missing letters are given in the proper sequence in one of the alternatives among the four given under question. Find out the correct alternative for the question.

b _ a _ bab _ ab _ a

A
baba

B
babb

C
abab

D
abba

Solution

b a a b bab a ab b a
Question 14
1 / -0

Out of nine cells of a square, one cell is left blank marked (?) and in the rest of the cells numbers are written which follow some rule. Get the rule and find out the proper option for the blank cell (?).

91 64 73

84 76 61

25 60 ?

A
66

B
68

C
69

D
71

Solution

Sum of each column is 200.
91 + 84 + 25 = 200
64 + 76 + 60 = 200
73 + 61 + x = 200
i.e. x = 66
Question 15
1 / -0

Out of nine cells of a square, one cell is left blank marked (?) and in the rest of the cells numbers are written which follow some rule. Get the rule and find out the proper option for the blank cell (?).

5 10 30

? 3 12

28 14 32

A
34

B
16

C
7

D
Date inadequate
Question 16
1 / -0

Out of nine cells of a square, one cell is left blank marked (?) and in the rest of the cells numbers are written which follow some rule. Get the rule and find out the proper option for the blank cell (?).

7 32 ?

31 8 25

11 24 9

A
50

B
48

C
47

D
51

Solution

Sum of column is 49, 64, 81 respectively.

Question 17

1 / -0

Directions For Questions

Directions: Words in capital letters in column I are written in small letters in a code language in column II. Decode the language and find out the correct option for the word given in the question below.

Column I	Column II
HERO	tbfw
JOIN	bakp
LAZY	nsvg
MINE	pdkt
PART	rwsx
SAURY	wveos
BLUE	eglt
CIGAR	vsqwp
WRIT	wpxy
VIRUS	pzwoe
QUACK	jqems
PIRL	wprg

...view full instructions

The code for the letters in the word TOIL is

pxba

bpgn

xbpg

mpxg

Solution

If we compare HERO and JOIN, the common letter is O and the common letter in their codes is 'b'; so 'O' is denoted by 'b'.
If we compare HERO and WRIT, the common letter is R and the common letter in their codes is 'w'; so 'R' is denoted by 'w'.
If we compare WRIT and PART, the common letters are R and T, and the common letters in their codes are 'w' and 'x'. But R is denoted by 'w'; so 'T' is denoted by 'x'.
If we compare WRIT and PIRL, the common letters are R and I, and the common letters in their codes are 'w' and 'p'. But R is denoted by 'w'; so 'I' is denoted by 'p'.
If we compare BLUE and PIRL, the common letter is L and the common letter in their codes is 'g'; so 'L' is denoted by 'g'.

Question 18

1 / -0

Directions For Questions

Column I	Column II
HERO	tbfw
JOIN	bakp
LAZY	nsvg
MINE	pdkt
PART	rwsx
SAURY	wveos
BLUE	eglt
CIGAR	vsqwp
WRIT	wpxy
VIRUS	pzwoe
QUACK	jqems
PIRL	wprg

...view full instructions

The code for letters in the word COST is

boqx

xgps

qost

xqnr

Solution

If we compare LAZY and QUACK, the common letter is A and the common letter in their codes is 's'; so 'A' is denoted by 's'.
If we compare CIGAR and QUACK, the common letters are A and C, and the common letters are their codes are 's' and 'q'; so 'C' is denoted by 'q'.
If we compare HERO and JOIN, the common letter is J and the common letter in their codes is 'b'; so 'O' is denoted by 'b'.
If we compare VIRUS and BLUE, the common letter is U and the common letter in their codes is 'e'; so 'U' is denoted by 'e'.
If we compare HERO and WRIT, the common letter is R and the common letter in their codes is 'w'; so 'R' is denoted by 'w'.
If we compare VIRUS and SAURY, the common letters are U, R and S, and the common letters in their codes are 'e', 'w' and 'o'; so 'S' is denoted by 'o' as the code letters for U and R are known.
If we compare WRIT and PART, the common letters are R and T, and the common letters in their codes are 'w' and 'x'. But R is denoted by 'w'; so 'T' is denoted by 'x'.

Question 19

1 / -0

Directions For Questions

Column I	Column II
HERO	tbfw
JOIN	bakp
LAZY	nsvg
MINE	pdkt
PART	rwsx
SAURY	wveos
BLUE	eglt
CIGAR	vsqwp
WRIT	wpxy
VIRUS	pzwoe
QUACK	jqems
PIRL	wprg

...view full instructions

The code for the letters in the word ULCER is

ggwmr

teqwp

ktegp

gteqw

Solution

If we compare VIRUS and BLUE, the common letter is U and the common letter in their codes is 'e'; so 'U' is denoted by 'e'.
If we compare PIRL and BLUE, the common letter is L and the common letter in their codes is 'g'; so 'L' is denoted by 'g'.
If we compare LAZY and QUACK, the common letter is A and the common letter in their codes is 's'; so 'A' is denoted by 's'.
If we compare CIGAR and QUACK, the common letters are A and C, and the common letters in their codes are 's' and 'q'; so 'C' is denoted by 'q'.
If we compare MINE and BLUE, the common letter is E and the common letter in their codes is 't'; so 'E' is denoted by 't'.
If we compare HERO and WRIT, the common letter is R and the common letter in their codes is 'w'; so 'R' is denoted by 'w'.

Question 20

1 / -0

Directions For Questions

Column I	Column II
HERO	tbfw
JOIN	bakp
LAZY	nsvg
MINE	pdkt
PART	rwsx
SAURY	wveos
BLUE	eglt
CIGAR	vsqwp
WRIT	wpxy
VIRUS	pzwoe
QUACK	jqems
PIRL	wprg

...view full instructions

The code for the letters in the word SINE is

ptkl

toka

ptok

optb

Solution

SINE will be coded as ptok.

Question 21

1 / -0

Directions For Questions

Column I	Column II
HERO	tbfw
JOIN	bakp
LAZY	nsvg
MINE	pdkt
PART	rwsx
SAURY	wveos
BLUE	eglt
CIGAR	vsqwp
WRIT	wpxy
VIRUS	pzwoe
QUACK	jqems
PIRL	wprg

...view full instructions

The code for the letters in the word ARCH is

frsq

wfsq

wqfp

sqfn

Solution

ARCH will be code as wfsq.

Question 22
1 / -0

Find out the missing term from the given alternatives.

08 : 28 : : (?) : 65

A
9

B
12

C
15

D
18

Solution

3² – 1 : 3³ + 1 : : 4² – 1 : 4³ + 1
Question 23
1 / -0

Find out the missing term from the given alternatives.

35 : 91 : : 189 : (?)

A
343

B
341

C
280

D
210

Solution

2³ + 3³ : 3³ + 4³ : : 4³ + 5³ : 5³ + 6³
Question 24
1 / -0

If your birthday 30^th June, 2003 falls on Monday, on what day of the week does your birthday fall in the year 2005?

A
Sunday

B
Tuesday

C
Wednesday

D
Thursday

Solution

There is One odd day in a non leap year and two odd days in a leap year.
In the given question one is leap year(i.e. 2004) and one is non leap year(i.e. 2005)
Question 25
1 / -0

On what day of the week India will celebrate its Republic Day on 26th January, 2015?

A
Sunday

B
Monday

C
Tuesday

D
Wednesday
Question 26
1 / -0

If 27 * 3 = 243
5 * 4 = 80
Then what is the value of 3 * 7?

A
84

B
147

C
63

D
23

Solution

81 × 3 = 243
20 × 4 = 80
21 × 7 = 147
Question 27
1 / -0

In a coded language NUMBER is written as in MFNYVI. How is FIGURE written in that coded language?

A
ERHFID

B
URTVSF

C
GJTFSF

D
URTFIV

Solution

Every letter is coded by it's reverse ranking in the alphabet.
Question 28
1 / -0

If PET = 4, LET = 3 and JEY = 2, then what is the value of XET?

A
1

B
5

C
6

D
8

Solution

PET = 4 is coded as : P = 16, E = 5, T = 20
16 × 5 = 80/20 = 4
Similarly XET = 6.
Question 29
1 / -0

If in a coded language is HOME = 2541, SHOP = 8256, WORK = 9573, then the code for SMOKE will be

A
85431

B
84531

C
83451

D
84351

Solution

Code for S = 8, M = 4, O = 5, K = 3, E = 1.

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Re-Attempt Weekly Quiz Competition

NTSE - MAT-RAJ-2012

Result

NTSE - MAT-RAJ-2012

Score

-

Rank

-

SHARING IS CARING

Question 1

36

40

46

Date inadequate

Solution

Question 2

243

233

213

223

Solution

Question 3

6

7

9

15

Solution

Question 4

247

491

121

61

Solution

Question 5

132

30

122

72

Solution

Question 6

6253

1881

7043

8210

Solution

Question 7

RUMSR

SUNQS

UWNSU

VUMTV

Solution

Question 8

ZJSUM

YJSUZ

ZKSVJ

JZSTN

Solution

Question 9

MQDRN

QMONR

MQNRO

NQMOR

Solution

Question 10

rsp

stp

rsq

stq

Solution

Question 11

cdabc

badaa

cdbcd

dbacd

Solution

Question 12

bbbab

babba

abaab

bbabb

Solution