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

If cos x=-1 then solution set is

{pi}

{pi+npi}

{pi+2npi, n€Z}

None of these

2 / 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

3 / 20

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

2π

π /2

Non of these

4 / 20

Sin^-1 (-x) =…….

– Sin-1x

Sin-¹ x

π – Sin-1 x

π – Sin x

5 / 20

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

3/7

1/7

2/7

6 / 20

Derivation of x3 w.r.t x2 is:

3x^2

None of these

7 / 20

8 / 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

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

-1

None of these

11 / 20

sin 15=?

√3 – 1 / 2√2

√3+1 / 2√2

√3 +1 / 2

√3 – 1 / 2

12 / 20

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

13 / 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?

14 / 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)

15 / 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

16 / 20

2 sin² [a/2]=

1+cos a

1- cos a

1+sin a

1- sin a

17 / 20

18 / 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

19 / 20

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

(a) Real & distinct

(b) Imaginary & distinct

(d) Irrational and distinct

20 / 20

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

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Mathematics Diagnostic Tests

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