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.

365

Created by PLS Academy

Mathematics Diagnostic Test

Topic: Mathematics Diagnostic Test

Quiz Contains: 20 MCQs

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1 / 20

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

3/7

1/7

2/7

2 / 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?

3 / 20

2 sin² [a/2]=

1+cos a

1- cos a

1+sin a

1- sin a

4 / 20

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

5 / 20

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

(a) Real & distinct

(b) Imaginary & distinct

(d) Irrational and distinct

6 / 20

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

2π

π /2

Non of these

7 / 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

8 / 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})

9 / 20

Sin^-1 (-x) =…….

– Sin-1x

Sin-¹ x

π – Sin-1 x

π – Sin x

10 / 20

11 / 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)

12 / 20

If cos x=-1 then solution set is

{pi}

{pi+npi}

{pi+2npi, n€Z}

None of these

13 / 20

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

-1

None of these

14 / 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

15 / 20

16 / 20

sin 15=?

√3 – 1 / 2√2

√3+1 / 2√2

√3 +1 / 2

√3 – 1 / 2

17 / 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

18 / 20

19 / 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

20 / 20

Derivation of x3 w.r.t x2 is:

3x^2

None of these

Your score is

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

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