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.

371

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

3 / 20

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

-1

None of these

4 / 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

5 / 20

Sin^-1 (-x) =…….

– Sin-1x

Sin-¹ x

π – Sin-1 x

π – Sin x

6 / 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)

7 / 20

8 / 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

9 / 20

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

2π

π /2

Non of these

10 / 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

11 / 20

12 / 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?

13 / 20

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

(a) Real & distinct

(b) Imaginary & distinct

(d) Irrational and distinct

14 / 20

If cos x=-1 then solution set is

{pi}

{pi+npi}

{pi+2npi, n€Z}

None of these

15 / 20

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

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

2 sin² [a/2]=

1+cos a

1- cos a

1+sin a

1- sin a

19 / 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})

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

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