Mathematics Diagnostic Tests

The Mathematics Diagnostic Tests by PLS Academy are designed to help students evaluate their preparation for entry tests, FSC exams, ECAT, NUST NET, and NTS exams. These tests cover key topics in algebra, calculus, trigonometry, geometry, and statistics, allowing students to identify strengths, weaknesses, and areas that require improvement. Detailed feedback after each test helps aspirants focus on weak concepts, enhance problem-solving skills, and plan targeted revision. Whether preparing for ECAT, NUST NET, NTS, or FSC Mathematics, these diagnostic tests enable students to track progress, strengthen skills, and optimize their preparation strategy to achieve top scores.

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Created by PLSBOOST

Mathematics Diagnostic Test

Topic: Mathematics Diagnostic Test

Quiz Contains: 20 MCQs

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1 / 20

Derivation of x3 w.r.t x2 is:

3x^2

None of these

2 / 20

For an identity cot⁴+ cot²0 = cosec+0 – cosec⁴0, is:

2π

π /2

Non of these

3 / 20

4 / 20

360 students study at a school where 248 students study Turkish, 126 study Arabic, and 18 study neither. How many students study both Arabic and Turkish?

5 / 20

If the line segment obtained by joining any two points of a region lies entirely within the region is called:

Concave

Convex

Both A and B

None

6 / 20

if y=a^x then y_n is equal to (where a>0,xxER)

a^x.Ina

a^nx.lna

a^x(lna)^n

a^nx(lna)^n

7 / 20

In any triangle ABC, with usual notation, which one of them is not true

∆ = 1/2 ab sinγ

∆ =1/2 bc sinα

∆ =1/2 α sin β γ/sin α

∆2 =s (s a)(s b)(s c)

8 / 20

9 / 20

If (|r|<1) then, (S_n =)

(frac{a_1 (1 – r^n)}{1-r})

(frac{a_1 (r^n – 1)}{1-r})

(frac{a_1 (r^n – 1)}{r-1})

(frac{a_1 (1 – r^n)}{r-1})

10 / 20

If cos x=-1 then solution set is

{pi}

{pi+npi}

{pi+2npi, n€Z}

None of these

11 / 20

If A(-1,h), B(3,2) and C(7,3) are collinear, then h =?

-1

None of these

12 / 20

47. If the discriminant is negative, then the roots are:

(a) Real & distinct

(b) Imaginary & distinct

(d) Irrational and distinct

13 / 20

14 / 20

The conic ax²+2hxy+by+2gx+2fy+c=0 never represent a circle if:

a ≠ b. h ≠ 0

h ≠ 0

a=b

h = 0

15 / 20

sin 15=?

√3 – 1 / 2√2

√3+1 / 2√2

√3 +1 / 2

√3 – 1 / 2

16 / 20

What will be the volume of parallelepiped represented by the vectors u = 9i – 5j, v = 6i – 7j + k, w = i – k?

17 / 20

The probability that a leap year selected at random will contain 53 sundays, is:

3/7

1/7

2/7

18 / 20

Sin^-1 (-x) =…….

– Sin-1x

Sin-¹ x

π – Sin-1 x

π – Sin x

19 / 20

2 sin² [a/2]=

1+cos a

1- cos a

1+sin a

1- sin a

20 / 20

If h² and higher powers of ‘h’ are neglected then √1+2h/1-h

1-3/2h

1+3/2h

1-2/3h

1+2/3h

Your score is

Pos.	Name	Score	Duration
1	Anonymous	100 %	48 seconds
2	Muhammad Awais	100 %	51 seconds
3	Saad Khan	100 %	54 seconds
4	Shaista	100 %	55 seconds
5	osaid	100 %	2 minutes 41 seconds
6	ibraheem	95 %	50 seconds
7	NONE	95 %	52 seconds
8	abdullah umar	95 %	56 seconds
9	Saad	95 %	1 minutes 1 seconds
10	abdullah umar	95 %	1 minutes 12 seconds
11	NONE\	90 %	51 seconds
12	NONE	90 %	56 seconds
13	Muhammad Awais	90 %	1 minutes 6 seconds
14	12345	90 %	1 minutes 11 seconds
15	ibraheem	90 %	1 minutes 34 seconds
16	Taha	90 %	1 minutes 56 seconds
17	sddc	90 %	2 minutes 32 seconds
18	Ahmed Nafees	90 %	4 minutes 20 seconds
19	Maham	90 %	5 minutes 16 seconds
20	Arib	85 %	1 minutes 20 seconds
21	Hello 2	85 %	1 minutes 23 seconds
22	sadi	85 %	1 minutes 47 seconds
23	nelson	85 %	1 minutes 56 seconds
24	Mudasir bangash	85 %	2 minutes 20 seconds
25	Saeed	85 %	2 minutes 46 seconds
26	N	80 %	1 minutes 39 seconds
27	Talha	80 %	1 minutes 49 seconds
28	Najeeb Ahmed	80 %	1 minutes 52 seconds
29	Saif	75 %	57 seconds
30	Hi	75 %	1 minutes 37 seconds
31	Ahmad	75 %	1 minutes 38 seconds
32	NOONE	75 %	1 minutes 40 seconds
33	rida	75 %	1 minutes 47 seconds
34	Nimra	75 %	1 minutes 54 seconds
35	Ahmad faiz khan	75 %	2 minutes 21 seconds
36	Muhammmad yahya	75 %	2 minutes 26 seconds
37	ma	75 %	2 minutes 47 seconds
38	Muhammad Awais	75 %	3 minutes 5 seconds
39	Yasir	75 %	6 minutes 16 seconds
40	raomohib	75 %	31 minutes 2 seconds
41	uzair	75 %	34 minutes 30 seconds
42	amna	70 %	1 minutes 41 seconds
43	Abdullah umar	70 %	1 minutes 58 seconds
44	Muhammad Essa Mahar	70 %	2 minutes 18 seconds
45	mm alam	70 %	3 minutes 11 seconds
46	fjwkjsj	70 %	10 minutes 28 seconds
47	Muhammad Maaz khan	70 %	17 minutes 40 seconds
48	Jibrail	65 %	1 minutes 17 seconds
49	Noor	65 %	1 minutes 30 seconds
50	Muaz Rana	65 %	1 minutes 53 seconds
51	Adil	65 %	2 minutes 13 seconds
52	Hello	65 %	2 minutes 23 seconds
53	Abid ur Rahman	65 %	5 minutes 29 seconds
54	Azan	60 %	1 minutes 35 seconds
55	R	60 %	1 minutes 42 seconds
56	Sadia	60 %	2 minutes 21 seconds
57	Azwa mudassar	60 %	4 minutes 59 seconds
58	Ibraheem	60 %	13 minutes 11 seconds
59	ggg	60 %	18 minutes 13 seconds
60	fatima	60 %	20 minutes 21 seconds
61	Asfg	60 %	22 minutes 59 seconds
62	op bolty	60 %	36 minutes 57 seconds
63	Nimra	60 %	50 minutes 28 seconds
64	Ayla Saeed	60 %	55 minutes 29 seconds
65	Ahmad Hassan	55 %	3 minutes 35 seconds
66	Ubaid	55 %	5 minutes 16 seconds
67	Mudasir Jamal	55 %	7 minutes 29 seconds
68	Soem	55 %	8 minutes 46 seconds
69	Muhammad Hamid	55 %	11 minutes 17 seconds
70	Taha	55 %	13 minutes 20 seconds
71	Mee	55 %	17 minutes 49 seconds
72	nemo	55 %	20 minutes 10 seconds
73	None	55 %	25 minutes 16 seconds
74	Maham	55 %	26 minutes 14 seconds
75	Uzair	55 %	28 minutes 36 seconds
76	nelson	55 %	3 hours 35 minutes 50 seconds
77	Noor	50 %	1 minutes 41 seconds
78	Hafsa	50 %	2 minutes 49 seconds
79	Zubaida	50 %	4 minutes 52 seconds
80	Ehsan shah	50 %	5 minutes 6 seconds
81	As	50 %	6 minutes 17 seconds
82	Sheraz	50 %	6 minutes 24 seconds
83	Iraj	50 %	7 minutes
84	Mari	50 %	9 minutes 47 seconds
85	sadia	50 %	9 minutes 59 seconds
86	Najeeb Ahmed	50 %	10 minutes 36 seconds
87	osaid	50 %	52 minutes 56 seconds
88	GHULAM	45 %	1 minutes 58 seconds
89	Usama	45 %	2 minutes 5 seconds
90	iufudfud	45 %	2 minutes 9 seconds
91	Saif khan	45 %	2 minutes 56 seconds
92	Dileep	45 %	3 minutes 28 seconds
93	amna	45 %	3 minutes 47 seconds
94	Muaz Rana	45 %	6 minutes 14 seconds
95	Muhammmad yahya	45 %	6 minutes 22 seconds
96	Ahmad	45 %	7 minutes 34 seconds
97	Muhammad Ali	45 %	7 minutes 52 seconds
98	NONE OF YOU CONCERN	45 %	8 minutes 36 seconds
99	hi	45 %	9 minutes 5 seconds
100	Raj rathi	45 %	17 minutes 17 seconds
101	Hafeezullah	45 %	21 minutes 49 seconds
102	Adnanh	45 %	59 minutes 58 seconds
103	Hamza Jadoon	45 %	1 hours 2 minutes 30 seconds
104	Huzaifa ali	40 %	4 minutes 28 seconds
105	Ahmad Ali	40 %	7 minutes 3 seconds
106	Maaz	40 %	7 minutes 52 seconds
107	ma	40 %	8 minutes 32 seconds
108	Kashif Iqbal	40 %	11 minutes 16 seconds
109	Fatima Ajmal	40 %	13 minutes 17 seconds
110	Najeeb Ahmed	40 %	13 minutes 40 seconds
111	jawad ahmed	40 %	13 minutes 50 seconds
112	.	40 %	15 minutes 19 seconds
113	rida	40 %	15 minutes 51 seconds
114	fawad	40 %	17 minutes 53 seconds
115	Saeed ullah shah	40 %	19 minutes 42 seconds
116	Muhammad Momin Sajjad	35 %	1 minutes 50 seconds
117	Sadam Hussain	35 %	2 minutes 14 seconds
118	Amir	35 %	2 minutes 24 seconds
119	Jibrail	35 %	3 minutes 59 seconds
120	Haseeb	35 %	4 minutes 12 seconds
121	arhum	35 %	4 minutes 28 seconds
122	Muhammad Awais	35 %	6 minutes 2 seconds
123	m	35 %	6 minutes 49 seconds
124	Furqan Ahmed	35 %	6 minutes 55 seconds
125	Muhammad saad ur rehman	35 %	7 minutes 15 seconds
126	Nn	35 %	7 minutes 29 seconds
127	Azwa Mudassar	35 %	9 minutes 36 seconds
128	Wajiha	35 %	10 minutes 19 seconds
129	Ahmed Nafees	35 %	12 minutes 24 seconds
130	sunila	35 %	13 minutes 13 seconds
131	Ayesha	35 %	13 minutes 53 seconds
132	Moiz	35 %	14 minutes 59 seconds
133	za	35 %	15 minutes 15 seconds
134	sded	35 %	16 minutes 7 seconds
135	Usman Malik	35 %	17 minutes 9 seconds
136	A.	35 %	17 minutes 33 seconds
137	YaSiR	35 %	24 minutes 13 seconds
138	Talha	35 %	25 minutes 12 seconds
139	eman	30 %	1 minutes 15 seconds
140	tashfeen	30 %	1 minutes 37 seconds
141	Abdullah umar	30 %	2 minutes 37 seconds
142	Muhammad Abu Zar	30 %	2 minutes 44 seconds
143	Abdullah	30 %	2 minutes 52 seconds
144	Aniya	30 %	3 minutes 8 seconds
145	Ss	30 %	4 minutes 4 seconds
146	GHULAM JILANI	30 %	4 minutes 17 seconds
147	Rameez	30 %	4 minutes 44 seconds
148	Sohaib Hafeez	30 %	5 minutes 4 seconds
149	ahmar	30 %	5 minutes 34 seconds
150	Ubaid	30 %	5 minutes 54 seconds
151	Who cares	30 %	6 minutes 46 seconds
152	Arib	30 %	7 minutes 17 seconds
153	muhammad sohaib	30 %	8 minutes 10 seconds
154	Ahmad faiz khan	30 %	8 minutes 11 seconds
155	nemo	30 %	12 minutes 51 seconds
156	Faiq Waleed	30 %	12 minutes 52 seconds
157	y	30 %	16 minutes 32 seconds
158	Zeeshanjaat	30 %	18 minutes 43 seconds
159	ume ayesha	30 %	22 minutes 30 seconds
160	Ggfgh	30 %	23 minutes 33 seconds
161	PLSBOOST	25 %	33 seconds
162	M.FAIZAN SAFDAR	25 %	2 minutes 4 seconds
163	H	25 %	2 minutes 38 seconds
164	Dawood	25 %	2 minutes 43 seconds
165	Kashif	25 %	3 minutes 13 seconds
166	my	25 %	4 minutes 15 seconds
167	Iqra	25 %	4 minutes 25 seconds
168	hassan	25 %	4 minutes 30 seconds
169	Saad Khan	25 %	5 minutes 13 seconds
170	Abdullah	25 %	5 minutes 38 seconds
171	Muhammad Moeen	25 %	6 minutes 33 seconds
172	Mari	25 %	6 minutes 54 seconds
173	malika	25 %	7 minutes 25 seconds
174	Sadia	25 %	9 minutes 19 seconds
175	Adil	25 %	10 minutes 5 seconds
176	adnan ashiq	25 %	10 minutes 7 seconds
177	T	25 %	18 minutes 27 seconds
178	sadaf	25 %	27 minutes 34 seconds
179	groots	25 %	29 minutes 39 seconds
180	maliksubhan	20 %	1 minutes 30 seconds
181	R	20 %	2 minutes 23 seconds
182	Ayesha	20 %	2 minutes 44 seconds
183	Muhammad Ali	20 %	3 minutes
184	Muhammad Musa Shahid	20 %	3 minutes 34 seconds
185	Noor	20 %	4 minutes 3 seconds
186	Hamza	20 %	6 minutes 19 seconds
187	kk	20 %	7 minutes 5 seconds
188	Mahad	20 %	8 minutes 5 seconds
189	Muhammad Essa Mahar	20 %	8 minutes 49 seconds
190	Wilayat Ali	20 %	9 minutes 53 seconds
191	Daniyal	20 %	26 minutes 24 seconds
192	Annu	15 %	2 minutes 35 seconds
193	Elsa	15 %	2 minutes 57 seconds
194	R	15 %	2 minutes 58 seconds
195	Bilal	15 %	3 minutes 44 seconds
196	Abdullah abbas	15 %	4 minutes 7 seconds
197	Abid ur Rahman	15 %	8 minutes 34 seconds
198	Talha	10 %	2 minutes 21 seconds
199	Fatima Navaid	5 %	47 seconds
200	MUHAMMAD ABDULLAH	5 %	51 seconds
201	Amina	5 %	2 minutes 2 seconds
202	Name	5 %	8 minutes 3 seconds
203	abdullah umar	0 %	19 seconds
204	Mahamfaryad	0 %	54 seconds
205	Alisha noor	0 %	1 minutes 9 seconds
206	Umer	0 %	1 minutes 29 seconds

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