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 PLS Academy

Mathematics Diagnostic Test

Topic: Mathematics Diagnostic Test

Quiz Contains: 20 MCQs

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1 / 20

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

(a) Real & distinct

(b) Imaginary & distinct

(d) Irrational and distinct

2 / 20

Derivation of x3 w.r.t x2 is:

3x^2

None of these

3 / 20

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

3/7

1/7

2/7

4 / 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)

5 / 20

6 / 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

7 / 20

8 / 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?

9 / 20

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

10 / 20

If cos x=-1 then solution set is

{pi}

{pi+npi}

{pi+2npi, n€Z}

None of these

11 / 20

Sin^-1 (-x) =…….

– Sin-1x

Sin-¹ x

π – Sin-1 x

π – Sin x

12 / 20

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

-1

None of these

13 / 20

14 / 20

sin 15=?

√3 – 1 / 2√2

√3+1 / 2√2

√3 +1 / 2

√3 – 1 / 2

15 / 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

16 / 20

2 sin² [a/2]=

1+cos a

1- cos a

1+sin a

1- sin a

17 / 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})

18 / 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

19 / 20

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

2π

π /2

Non of these

20 / 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

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	Danyal	100 %	1 minutes 16 seconds
6	osaid	100 %	2 minutes 41 seconds
7	ibraheem	95 %	50 seconds
8	Dawood	95 %	52 seconds
9	NONE	95 %	52 seconds
10	abdullah umar	95 %	56 seconds
11	Saad	95 %	1 minutes 1 seconds
12	Yahya Asad	95 %	1 minutes 12 seconds
13	abdullah umar	95 %	1 minutes 12 seconds
14	Jawad	95 %	1 minutes 26 seconds
15	NONE\	90 %	51 seconds
16	NONE	90 %	56 seconds
17	Muhammad Awais	90 %	1 minutes 6 seconds
18	12345	90 %	1 minutes 11 seconds
19	sms	90 %	1 minutes 16 seconds
20	Saad saeed	90 %	1 minutes 22 seconds
21	Bilal	90 %	1 minutes 30 seconds
22	ibraheem	90 %	1 minutes 34 seconds
23	Taha	90 %	1 minutes 56 seconds
24	Naz	90 %	2 minutes 1 seconds
25	urwah	90 %	2 minutes 14 seconds
26	sddc	90 %	2 minutes 32 seconds
27	Ahmed Nafees	90 %	4 minutes 20 seconds
28	Maham	90 %	5 minutes 16 seconds
29	Wardan Ahmed	85 %	40 seconds
30	Dawood	85 %	1 minutes 10 seconds
31	Arib	85 %	1 minutes 20 seconds
32	Hello 2	85 %	1 minutes 23 seconds
33	sadi	85 %	1 minutes 47 seconds
34	nelson	85 %	1 minutes 56 seconds
35	DKrfkf	85 %	2 minutes 17 seconds
36	Mudasir bangash	85 %	2 minutes 20 seconds
37	Saeed	85 %	2 minutes 46 seconds
38	Wardan Ahmed	80 %	40 seconds
39	dawood	80 %	1 minutes
40	Gggg	80 %	1 minutes 4 seconds
41	RIDWAN	80 %	1 minutes 13 seconds
42	N	80 %	1 minutes 39 seconds
43	Talha	80 %	1 minutes 49 seconds
44	Najeeb Ahmed	80 %	1 minutes 52 seconds
45	Shifa Arif	80 %	1 minutes 57 seconds
46	Wardan Ahmed	75 %	38 seconds
47	Wardan Ahmed	75 %	40 seconds
48	Wardan Ahmed	75 %	40 seconds
49	Wardan Ahmed	75 %	41 seconds
50	Saif	75 %	57 seconds
51	urwah	75 %	1 minutes 31 seconds
52	Hi	75 %	1 minutes 37 seconds
53	Ahmad	75 %	1 minutes 38 seconds
54	NOONE	75 %	1 minutes 40 seconds
55	rida	75 %	1 minutes 47 seconds
56	Nimra	75 %	1 minutes 54 seconds
57	Zakirullah	75 %	1 minutes 55 seconds
58	Ahmad faiz khan	75 %	2 minutes 21 seconds
59	Muhammmad yahya	75 %	2 minutes 26 seconds
60	ma	75 %	2 minutes 47 seconds
61	JawD	75 %	2 minutes 54 seconds
62	Muhammad Awais	75 %	3 minutes 5 seconds
63	Harram	75 %	5 minutes 39 seconds
64	Yasir	75 %	6 minutes 16 seconds
65	raomohib	75 %	31 minutes 2 seconds
66	uzair	75 %	34 minutes 30 seconds
67	Hhhh	70 %	1 minutes 8 seconds
68	Hhh	70 %	1 minutes 37 seconds
69	amna	70 %	1 minutes 41 seconds
70	Haseeb	70 %	1 minutes 50 seconds
71	Abdullah umar	70 %	1 minutes 58 seconds
72	Muhammad Essa Mahar	70 %	2 minutes 18 seconds
73	anand	70 %	3 minutes 5 seconds
74	mm alam	70 %	3 minutes 11 seconds
75	Zakirullah	70 %	3 minutes 35 seconds
76	.	70 %	4 minutes 28 seconds
77	fjwkjsj	70 %	10 minutes 28 seconds
78	Muhammad Maaz khan	70 %	17 minutes 40 seconds
79	Danyal	70 %	18 minutes 19 seconds
80	Wardan Ahmed	65 %	39 seconds
81	Ali	65 %	55 seconds
82	Jibrail	65 %	1 minutes 17 seconds
83	Noor	65 %	1 minutes 30 seconds
84	david	65 %	1 minutes 30 seconds
85	Muaz Rana	65 %	1 minutes 53 seconds
86	Adil	65 %	2 minutes 13 seconds
87	Hello	65 %	2 minutes 23 seconds
88	Tanoli Bilal	65 %	2 minutes 28 seconds
89	Abid ur Rahman	65 %	5 minutes 29 seconds
90	Ubaidullah	65 %	7 minutes 13 seconds
91	MUHAMMAD ABDULLAH	65 %	28 minutes 55 seconds
92	Wardan Ahmed	60 %	37 seconds
93	Azan	60 %	1 minutes 35 seconds
94	R	60 %	1 minutes 42 seconds
95	Haseeb	60 %	2 minutes 13 seconds
96	Sadia	60 %	2 minutes 21 seconds
97	Miqdam Haider	60 %	2 minutes 31 seconds
98	Azwa mudassar	60 %	4 minutes 59 seconds
99	Zainab	60 %	12 minutes 58 seconds
100	Ibraheem	60 %	13 minutes 11 seconds
101	ggg	60 %	18 minutes 13 seconds
102	fatima	60 %	20 minutes 21 seconds
103	Asfg	60 %	22 minutes 59 seconds
104	op bolty	60 %	36 minutes 57 seconds
105	Nimra	60 %	50 minutes 28 seconds
106	Ayla Saeed	60 %	55 minutes 29 seconds
107	satii	60 %	3 hours 32 minutes 6 seconds
108	Wardan Ahmed	55 %	38 seconds
109	Wardan Ahmed	55 %	39 seconds
110	Zakirullah 03467778406	55 %	3 minutes 21 seconds
111	Ahmad Hassan	55 %	3 minutes 35 seconds
112	Ubaid	55 %	5 minutes 16 seconds
113	Mudasir Jamal	55 %	7 minutes 29 seconds
114	Meerab Jawwad	55 %	8 minutes 9 seconds
115	Soem	55 %	8 minutes 46 seconds
116	Muhammad Hamid	55 %	11 minutes 17 seconds
117	Taha	55 %	13 minutes 20 seconds
118	Mee	55 %	17 minutes 49 seconds
119	MANAHIL03171461578	55 %	19 minutes 40 seconds
120	nemo	55 %	20 minutes 10 seconds
121	None	55 %	25 minutes 16 seconds
122	Maham	55 %	26 minutes 14 seconds
123	Uzair	55 %	28 minutes 36 seconds
124	Kisa	55 %	29 minutes 44 seconds
125	Abdullah	55 %	41 minutes 29 seconds
126	nelson	55 %	3 hours 35 minutes 50 seconds
127	Ali	50 %	1 minutes 13 seconds
128	Noor	50 %	1 minutes 41 seconds
129	Hafsa	50 %	2 minutes 49 seconds
130	Fghhh	50 %	2 minutes 54 seconds
131	Anjan	50 %	3 minutes 49 seconds
132	Zubaida	50 %	4 minutes 52 seconds
133	Ehsan shah	50 %	5 minutes 6 seconds
134	Safi	50 %	5 minutes 51 seconds
135	sms	50 %	6 minutes 4 seconds
136	As	50 %	6 minutes 17 seconds
137	Sheraz	50 %	6 minutes 24 seconds
138	Iraj	50 %	7 minutes
139	rida	50 %	8 minutes 21 seconds
140	M Miqdam Haider	50 %	8 minutes 36 seconds
141	Mari	50 %	9 minutes 47 seconds
142	sadia	50 %	9 minutes 59 seconds
143	Najeeb Ahmed	50 %	10 minutes 36 seconds
144	Talha Bhatti	50 %	13 minutes 50 seconds
145	osaid	50 %	52 minutes 56 seconds
146	Dawood	45 %	27 seconds
147	Wardan Ahmed	45 %	37 seconds
148	GHULAM	45 %	1 minutes 58 seconds
149	Usama	45 %	2 minutes 5 seconds
150	iufudfud	45 %	2 minutes 9 seconds
151	Angel	45 %	2 minutes 19 seconds
152	Ggggg	45 %	2 minutes 27 seconds
153	Hhhh	45 %	2 minutes 35 seconds
154	Saif khan	45 %	2 minutes 56 seconds
155	Dileep	45 %	3 minutes 28 seconds
156	amna	45 %	3 minutes 47 seconds
157	..	45 %	4 minutes 20 seconds
158	peaky blinder	45 %	5 minutes 8 seconds
159	Siwiw	45 %	5 minutes 11 seconds
160	Muaz Rana	45 %	6 minutes 14 seconds
161	Muhammmad yahya	45 %	6 minutes 22 seconds
162	Ahmad	45 %	7 minutes 34 seconds
163	Muhammad Ali	45 %	7 minutes 52 seconds
164	Jawad	45 %	8 minutes 33 seconds
165	NONE OF YOU CONCERN	45 %	8 minutes 36 seconds
166	hi	45 %	9 minutes 5 seconds
167	Yahya Asad	45 %	12 minutes 31 seconds
168	rr	45 %	12 minutes 44 seconds
169	Haroon	45 %	14 minutes 19 seconds
170	Raj rathi	45 %	17 minutes 17 seconds
171	anand	45 %	17 minutes 35 seconds
172	Hafeezullah	45 %	21 minutes 49 seconds
173	Adnanh	45 %	59 minutes 58 seconds
174	Hamza Jadoon	45 %	1 hours 2 minutes 30 seconds
175	Wardan Ahmed	40 %	2 minutes 15 seconds
176	Muzammal	40 %	2 minutes 58 seconds
177	Fawad Jillani	40 %	3 minutes 5 seconds
178	Seemab	40 %	3 minutes 48 seconds
179	Haha	40 %	3 minutes 59 seconds
180	Momina hameed	40 %	4 minutes 2 seconds
181	Huzaifa ali	40 %	4 minutes 28 seconds
182	sms	40 %	6 minutes 53 seconds
183	Ahmad Ali	40 %	7 minutes 3 seconds
184	jj	40 %	7 minutes 18 seconds
185	MUHAMMAD NOMAN WAJID	40 %	7 minutes 21 seconds
186	Abdul Moeed	40 %	7 minutes 34 seconds
187	Maaz	40 %	7 minutes 52 seconds
188	ma	40 %	8 minutes 32 seconds
189	harram	40 %	9 minutes 58 seconds
190	Kashif Iqbal	40 %	11 minutes 16 seconds
191	anon	40 %	11 minutes 23 seconds
192	Fatima Ajmal	40 %	13 minutes 17 seconds
193	Najeeb Ahmed	40 %	13 minutes 40 seconds
194	jawad ahmed	40 %	13 minutes 50 seconds
195	TOUQEER ABBAS	40 %	14 minutes 22 seconds
196	.	40 %	15 minutes 19 seconds
197	Shifa Arif	40 %	15 minutes 30 seconds
198	rida	40 %	15 minutes 51 seconds
199	fawad	40 %	17 minutes 53 seconds
200	Saeed ullah shah	40 %	19 minutes 42 seconds
201	HIBA	35 %	37 seconds
202	Wardan Ahmed	35 %	44 seconds
203	Wardan Ahmed	35 %	48 seconds
204	Hamna	35 %	1 minutes 8 seconds
205	Qasim	35 %	1 minutes 31 seconds
206	Muhammad Momin Sajjad	35 %	1 minutes 50 seconds
207	Fizza	35 %	2 minutes 11 seconds
208	Sadam Hussain	35 %	2 minutes 14 seconds
209	Amir	35 %	2 minutes 24 seconds
210	Ali	35 %	3 minutes 6 seconds
211	Zakirullah	35 %	3 minutes 28 seconds
212	Jibrail	35 %	3 minutes 59 seconds
213	ALI MEHDI	35 %	4 minutes 1 seconds
214	Haseeb	35 %	4 minutes 12 seconds
215	madiha	35 %	4 minutes 28 seconds
216	arhum	35 %	4 minutes 28 seconds
217	arya	35 %	6 minutes 1 seconds
218	Muhammad Awais	35 %	6 minutes 2 seconds
219	maaz	35 %	6 minutes 19 seconds
220	Muhammad Ahmad	35 %	6 minutes 34 seconds
221	m	35 %	6 minutes 49 seconds
222	Furqan Ahmed	35 %	6 minutes 55 seconds
223	Zakirullah	35 %	7 minutes 8 seconds
224	Muhammad saad ur rehman	35 %	7 minutes 15 seconds
225	Dawood	35 %	7 minutes 24 seconds
226	Nn	35 %	7 minutes 29 seconds
227	rayan bilal	35 %	8 minutes 50 seconds
228	Azwa Mudassar	35 %	9 minutes 36 seconds
229	Naz	35 %	9 minutes 59 seconds
230	Wajiha	35 %	10 minutes 19 seconds
231	Ahmed Nafees	35 %	12 minutes 24 seconds
232	Fatima	35 %	12 minutes 38 seconds
233	Amber Mirza	35 %	13 minutes 8 seconds
234	sunila	35 %	13 minutes 13 seconds
235	Ayesha	35 %	13 minutes 53 seconds
236	Moiz	35 %	14 minutes 59 seconds
237	za	35 %	15 minutes 15 seconds
238	sded	35 %	16 minutes 7 seconds
239	Usman Malik	35 %	17 minutes 9 seconds
240	A.	35 %	17 minutes 33 seconds
241	Eman	35 %	19 minutes 15 seconds
242	YaSiR	35 %	24 minutes 13 seconds
243	Talha	35 %	25 minutes 12 seconds
244	eman	30 %	1 minutes 15 seconds
245	tashfeen	30 %	1 minutes 37 seconds
246	M Miqdam Haider	30 %	2 minutes 34 seconds
247	Abdullah umar	30 %	2 minutes 37 seconds
248	Muhammad Abu Zar	30 %	2 minutes 44 seconds
249	Rukhsh	30 %	2 minutes 46 seconds
250	Abdullah	30 %	2 minutes 52 seconds
251	Aniya	30 %	3 minutes 8 seconds
252	Ss	30 %	4 minutes 4 seconds
253	GHULAM JILANI	30 %	4 minutes 17 seconds
254	fiza	30 %	4 minutes 43 seconds
255	Rameez	30 %	4 minutes 44 seconds
256	Sohaib Hafeez	30 %	5 minutes 4 seconds
257	ahmar	30 %	5 minutes 34 seconds
258	Ubaid	30 %	5 minutes 54 seconds
259	Haseeb	30 %	6 minutes 4 seconds
260	Asma	30 %	6 minutes 15 seconds
261	Ayesha	30 %	6 minutes 23 seconds
262	Who cares	30 %	6 minutes 46 seconds
263	Syed Farrukh Shah	30 %	7 minutes 12 seconds
264	Arib	30 %	7 minutes 17 seconds
265	muhammad sohaib	30 %	8 minutes 10 seconds
266	Ahmad faiz khan	30 %	8 minutes 11 seconds
267	nemo	30 %	12 minutes 51 seconds
268	Faiq Waleed	30 %	12 minutes 52 seconds
269	Ismail Ismail	30 %	14 minutes 56 seconds
270	y	30 %	16 minutes 32 seconds
271	Muhammad musa	30 %	17 minutes 13 seconds
272	Zeeshanjaat	30 %	18 minutes 43 seconds
273	ume ayesha	30 %	22 minutes 30 seconds
274	Ggfgh	30 %	23 minutes 33 seconds
275	PLSBOOST	25 %	33 seconds
276	M.FAIZAN SAFDAR	25 %	2 minutes 4 seconds
277	M, Jahanzaib Khan	25 %	2 minutes 12 seconds
278	anaya noor	25 %	2 minutes 21 seconds
279	ehsan	25 %	2 minutes 36 seconds
280	H	25 %	2 minutes 38 seconds
281	Dawood	25 %	2 minutes 43 seconds
282	Kashif	25 %	3 minutes 13 seconds
283	H	25 %	3 minutes 29 seconds
284	my	25 %	4 minutes 15 seconds
285	Iqra	25 %	4 minutes 25 seconds
286	hassan	25 %	4 minutes 30 seconds
287	Muhammad Taha Khalid	25 %	4 minutes 40 seconds
288	Dilshad	25 %	4 minutes 55 seconds
289	Saad Khan	25 %	5 minutes 13 seconds
290	Bial	25 %	5 minutes 24 seconds
291	urwah	25 %	5 minutes 31 seconds
292	.	25 %	5 minutes 37 seconds
293	Abdullah	25 %	5 minutes 38 seconds
294	M Adnan	25 %	5 minutes 51 seconds
295	Muhammad Moeen	25 %	6 minutes 33 seconds
296	Mari	25 %	6 minutes 54 seconds
297	Muneeb	25 %	7 minutes 9 seconds
298	malika	25 %	7 minutes 25 seconds
299	Sadia	25 %	9 minutes 19 seconds
300	Adil	25 %	10 minutes 5 seconds
301	adnan ashiq	25 %	10 minutes 7 seconds
302	ridwan	25 %	13 minutes 23 seconds
303	T	25 %	18 minutes 27 seconds
304	sadaf	25 %	27 minutes 34 seconds
305	groots	25 %	29 minutes 39 seconds
306	Aydha	20 %	1 minutes 18 seconds
307	maliksubhan	20 %	1 minutes 30 seconds
308	R	20 %	2 minutes 23 seconds
309	Noor ul Huda	20 %	2 minutes 40 seconds
310	Ayesha	20 %	2 minutes 44 seconds
311	Muhammad Ali	20 %	3 minutes
312	Hasnain	20 %	3 minutes 2 seconds
313	Meerab Jawwad	20 %	3 minutes 9 seconds
314	Muhammad Musa Shahid	20 %	3 minutes 34 seconds
315	Jamil	20 %	3 minutes 56 seconds
316	Noor	20 %	4 minutes 3 seconds
317	Zmsox	20 %	4 minutes 53 seconds
318	Bilal	20 %	5 minutes 7 seconds
319	Hamza	20 %	6 minutes 19 seconds
320	kk	20 %	7 minutes 5 seconds
321	Mahad	20 %	8 minutes 5 seconds
322	Muhammad Essa Mahar	20 %	8 minutes 49 seconds
323	Sheharyar Khan	20 %	9 minutes 10 seconds
324	Wilayat Ali	20 %	9 minutes 53 seconds
325	Ubaidullah	20 %	10 minutes 58 seconds
326	Abdul Saboor	20 %	11 minutes 36 seconds
327	Daniyal	20 %	26 minutes 24 seconds
328	anaya noor	15 %	1 minutes 19 seconds
329	Annu	15 %	2 minutes 35 seconds
330	Elsa	15 %	2 minutes 57 seconds
331	R	15 %	2 minutes 58 seconds
332	Bilal	15 %	3 minutes 44 seconds
333	Abdullah abbas	15 %	4 minutes 7 seconds
334	Safi ullah	15 %	5 minutes 22 seconds
335	Sateedan	15 %	7 minutes 9 seconds
336	Abid ur Rahman	15 %	8 minutes 34 seconds
337	Fehria Zainab	15 %	13 minutes 11 seconds
338	Talha	10 %	2 minutes 21 seconds
339	Fatima Navaid	5 %	47 seconds
340	MUHAMMAD ABDULLAH	5 %	51 seconds
341	Amina	5 %	2 minutes 2 seconds
342	anaya noor	5 %	3 minutes
343	Name	5 %	8 minutes 3 seconds
344	abdullah umar	0 %	19 seconds
345	ISRAR ALI	0 %	25 seconds
346	azan ali shah	0 %	27 seconds
347	ali	0 %	52 seconds
348	Mahamfaryad	0 %	54 seconds
349	Alisha noor	0 %	1 minutes 9 seconds
350	Umer	0 %	1 minutes 29 seconds

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