NTSE - MAT-2017

Result

NTSE - MAT-2017

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

In the given sequence, some letters are missing. Which of the given options can fill the blanks in the correct order from left to right?

ab_ab_aaa_bbaaa_bbbb

A
abab

B
abba

C
aabb

D
baba

Solution

ab/aabb/aaabbb/aaaabbbb
Question 2
1 / -0

Choose appropriate option from given alternatives such that the relationship defined by ':' is preserved.

PNLJ : LIFC and VTRP : ______

A
ROLl

B
SOLH

C
RPOM

D
DMEN

Solution

P-4=L
N-5=I
L-6=F
J-7=C
Similarly
V-4=R
T-5=O
R-6=L
P -7=I
Question 3
1 / -0

A cube is 6 cm in length, breadth and height. It is painted red on two opposite faces, black on the other two opposite faces and green on the leftover faces. It is then cut into 216 cubes of side 1 cm. How many small cubes have no face painted?

A
16

B
8

C
64

D
24

Solution

Cube with number face painted = (n - 2)³ = (6 - 2)³ = 4³

= 64
Question 4
1 / -0

Find the odd one out of the following terms:

EF22, JK42, GH24, VW9O, 1J38

A
EF22

B
GH24

C
IJ38

D
VW9O

Solution

Sum of position values of letters x 2 = Given number

EF 22 → 5 + 6 = 11 x 2 ⇒ 22
Question 5
1 / -0

If '∑' means 'x', 'δ' means '÷', 'σ' means '+' and '∝' means '–', then evaluate the following expression using standard operator precedence.

56δ (6 σ 8) ∑4 ∝ 1

A
52

B
24

C
15

D
43

Solution

56÷(6 + 8) x 4 – 1

= 56÷14 x 4 – 1

= 4 x 4 – 1

= 16 – 1 = 15
Question 6
1 / -0

With what mathematical operators should the symbols @ and < be replaced so that the following expressions is valid?

100 – 81 ÷ 27 @ 3 < 6 = 115

A
+ and –

B
x and ÷

C
+ and x

D
÷ and –

Solution

100 – 81 ÷ 27 @ 3 < 6 = 115

⇒ 100 – 81 ÷ 27 @ 3 x 6

⇒ 100 – 3 + 18

⇒ 100 + 18 – 3 = 115
Question 7
1 / -0

x is an integer such that it leaves a remainder of 2 when divided by 3, leaves a remainder of 3 when divided by 5, and leaves a remainder of 5 when divided by 7. What could be a possible value of x from among the following options?

A
53

B
68

C
74

D
83

Solution

According to the questions, the number is:
x = 3Q₁ + 2
Also, x = 5Q₂ + 3
and x = 7Q₃ + 5
From above,
x = 3Q₁ + 2 = 5Q₂ + 3 = 7Q₃ + 5
On solving, we get Q₁ = 22, Q₂ = 13, Q₃ = ?
So, the solution is:
x = 68
Question 8
1 / -0

In how many ways can we distribute 10 identical balls into two non-identical boxes so that none of the boxes is empty?

A
2

B
8

C
9

D
10

Solution

Box 1 9 8 7 6 5 4 3 2 1

Box 2 1 2 3 4 5 6 7 8 9

Clearly, total number of ways = 9
Question 9
1 / -0

The following facts are known about an unknown number X:

I. The sum of digits of X is 15.
II. The units digit of X is 6.

Which of the following statements is certainly true about X?

A
X is divisible by 3 but not by 6.

B
X is divisible by 6 but not by 9.

C
X is not divisible by 6 but divisible by 9.

D
X is divisible by both 6 and 9.

Solution

Sum of digits is divisible by 3 and units digit is even.
Hence, the number is divisible by 6; and sum of digits is not divisible by 9.
Question 10
1 / -0

The question below consists of statements labelled I and II. You have to decide whether the data provided in the statements is sufficient to answer the given question.

The average age of A, B and C is 43 years. Which of the following statements is/are required to find the eldest among them?\

Statements:
I. Age of C is 65 years.
II. Age of A is 25 years.

A
Statement I is sufficient.

B
Both statements I and II are required.

C
Statements I and II together are not sufficient.

D
Statement II is sufficient.

Solution

A+B+C/3 = 43

∴ A + B + C = 129

If C = 65, then A + B = 64

Since sum of ages of A and B is less than age of C, statement I alone is sufficient.

Question 11

1 / -0

Directions For Questions

Directions: Read the following information and answer the given question.

A class is to be taught five subjects – Hindi, Physics, Chemistry, Biology and Mathematics by five different teachers – A, B, C, D and E in five periods. A teacher can teach in only one of the periods. The following details are available about the teaching:

_* A teaches Mathematics, which is not taught in the first period.
_* Physics is taught by D in an even-numbered period.
_* Chemistry is taught in an odd period, and it precedes Mathematics period.
_* E teaches in the first period.
_* C teaches Chemistry, but not in the first or the last period.
_* Hindi is taught in the last period.

...view full instructions

Which of the following statements is necessarily true?

Third period is of Hindi taught by B.

Second period is of Physics taught by C.

Fourth period is of Mathematics taught by A.

Fifth period of Biology taught by D.

Solution

	Physics	Chemistry	Biology	Mathematics	Hindi
A	x	x	x	4	x
B	x	x	x	x	5
C	x	3	x	x	x
D	2	x	x	x	x
E	X	X	1	X	x

Question 12

1 / -0

Directions For Questions

Directions: Study the given information and answer the following question.

A class is to be taught five subjects – Hindi, Physics, Chemistry, Biology and Mathematics - by five different teachers – A, B, C, D and E in five periods. A teacher can teach in only one of the periods. The following details are available about the teaching:

* A teaches Mathematics, which is not taught in the first period.
* Physics is taught by D in an even-numbered period.
* Chemistry is taught in an odd-numbered period, and it precedes the Mathematics period.
* E teaches in the first period.
* C teaches Chemistry, but not in the first or the last period.
* Hindi is taught in the last period.

...view full instructions

Which subject is taught by B?

Physics

Chemistry

Biology

Hindi

Solution

	Physics	Chemistry	Biology	Maths	Hindi
A	x	x	x	4	x
B	x	x	x	x	5
C	x	3	x	x	x
D	2	x	x	x	x
E	X	X	1	X	x

Question 13
1 / -0

What number should come in the place of M?

16 7 2 20

25 8 2 30

36 9 5 24

49 10 7 M

A
21

B
32

C
40

D
63

Solution

√16 x (7 – 2) = 20
√25 x (8 – 2) = 30
√36 x (9 – 5) = 24
√49 x (10 – 7) = 21
Question 14
1 / -0

Find the letter that will replace the question mark (?).

I 2 2 3 1 5

II 3 4 2 4 2

III H P I ? Y

A
A

B
D

C
O

D
N

Solution

2³ = 8 = H
2⁴ = 16 = P
3² = 9 = I
1⁴ = 1 = A
5² = 25 = Y
Question 15
1 / -0

A, B, C and D are to be seated in a row. C and D cannot be on adjacent seats. Also, B cannot be at the third place. Which of the following must be false?

A
A is at the fourth place.

B
A is at the third place.

C
A is at the second place.

D
A is at the first place.

Question 16

1 / -0

Directions For Questions

Direction: Study the given information and answer the following question.

Mrs. Kirandeep, a driving instructor, has to arrange a training schedule for some of her pupils. She has 8 new pupils who wish to book either a morning or an evening of a particular day. The appointment can be given for Tuesday, Wednesday, Friday and Saturday. The instructor instructs only one pupil in morning session and one in the evening session.

_* Mrs. Sabita is only available on Tuesday morning, but Mr. Aaditya can make any time on Wednesday.
_* Mrs. Firdaus is free on Tuesday all day, but Mr. Naved is only free on Wednesday evening.
_* Mrs. Seema is only available on Friday morning, whereas Mrs. Ritu can only make Saturday evening.
_* Mrs. Shalu is available all day on Friday, whereas Mr. Ronald can make any time on Saturday.

...view full instructions

Which two of the following should have morning appointments?

Mr. Ronald and Mrs. Shalu

Mr. Ronald and Mrs. Firdaus

Mr. Aaditya and Mrs. Firdaus

Mr. Aaditya and Mr. Ronald

Solution

	Tuesday	Wednesday	Thursday	Friday	Saturday
Morning	Mrs. Sabita	Mr. Aaditya		Mrs. Seema	Mr. Ronald
Evening		Mr. Naved		Mrs. Firadus	Mrs. Ritu

User

Question Analysis

Correct -
Wrong -
Skipped -

My Perfomance

Score
-
out of -
Rank
-
out of -

Re-Attempt Weekly Quiz Competition

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

I	2	2	3	1	5
II	3	4	2	4	2
III	H	P	I	?	Y

NTSE - MAT-2017

Result

NTSE - MAT-2017

Score

-

Rank

-

SHARING IS CARING

Question 1

abab

abba

aabb

baba

Solution

Question 2

ROLl

SOLH

RPOM

DMEN

Solution

Question 3

16

8

64

24

Solution

Question 4

EF22

GH24

IJ38

VW9O

Solution

Question 5

52

24

15

43

Solution

Question 6

+ and –

x and ÷

+ and x

÷ and –

Solution

Question 7

53

68

74

83

Solution

Question 8

2

8

9

10

Solution

Question 9

X is divisible by 3 but not by 6.

X is divisible by 6 but not by 9.

X is not divisible by 6 but divisible by 9.

X is divisible by both 6 and 9.

Solution

Question 10

Statement I is sufficient.

Both statements I and II are required.

Statements I and II together are not sufficient.

Statement II is sufficient.

Solution

Question 11

Third period is of Hindi taught by B.

Second period is of Physics taught by C.

Fourth period is of Mathematics taught by A.

Fifth period of Biology taught by D.

Solution

Question 12

Physics

Chemistry

Biology

Hindi

Solution