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

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

2 / 20

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

(a) Real & distinct

(b) Imaginary & distinct

(d) Irrational and distinct

3 / 20

Derivation of x3 w.r.t x2 is:

3x^2

None of these

4 / 20

If cos x=-1 then solution set is

{pi}

{pi+npi}

{pi+2npi, n€Z}

None of these

5 / 20

2 sin² [a/2]=

1+cos a

1- cos a

1+sin a

1- sin a

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

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?

8 / 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

9 / 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

10 / 20

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

2π

π /2

Non of these

11 / 20

12 / 20

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

3/7

1/7

2/7

13 / 20

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

-1

None of these

14 / 20

15 / 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})

16 / 20

17 / 20

sin 15=?

√3 – 1 / 2√2

√3+1 / 2√2

√3 +1 / 2

√3 – 1 / 2

18 / 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)

19 / 20

Sin^-1 (-x) =…….

– Sin-1x

Sin-¹ x

π – Sin-1 x

π – Sin x

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

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